Actual source code: itfunc.c

  1: /*
  2:       Interface KSP routines that the user calls.
  3: */

  5: #include <petsc/private/kspimpl.h>
  6: #include <petsc/private/matimpl.h>
  7: #include <petscdm.h>

  9: /* number of nested levels of KSPSetUp/Solve(). This is used to determine if KSP_DIVERGED_ITS should be fatal. */
 10: static PetscInt level = 0;

 12: static inline PetscErrorCode ObjectView(PetscObject obj, PetscViewer viewer, PetscViewerFormat format)
 13: {
 14:   PetscCall(PetscViewerPushFormat(viewer, format));
 15:   PetscCall(PetscObjectView(obj, viewer));
 16:   PetscCall(PetscViewerPopFormat(viewer));
 17:   return PETSC_SUCCESS;
 18: }

 20: static PetscErrorCode KSPRestoreExplicitTranspose_Private(KSP);

 22: /*@
 23:   KSPComputeExtremeSingularValues - Computes the extreme singular values
 24:   for the preconditioned operator. Called after or during `KSPSolve()`.

 26:   Not Collective

 28:   Input Parameter:
 29: . ksp - iterative solver obtained from `KSPCreate()`

 31:   Output Parameters:
 32: + emax - maximum estimated singular value
 33: - emin - minimum estimated singular value

 35:   Options Database Key:
 36: . -ksp_view_singularvalues - compute extreme singular values and print when `KSPSolve()` completes.

 38:   Level: advanced

 40:   Notes:
 41:   One must call `KSPSetComputeSingularValues()` before calling `KSPSetUp()`
 42:   (or use the option `-ksp_view_singularvalues`) in order for this routine to work correctly.

 44:   Many users may just want to use the monitoring routine
 45:   `KSPMonitorSingularValue()` (which can be set with option `-ksp_monitor_singular_value`)
 46:   to print the extreme singular values at each iteration of the linear solve.

 48:   Estimates of the smallest singular value may be very inaccurate, especially if the Krylov method has not converged.
 49:   The largest singular value is usually accurate to within a few percent if the method has converged, but is still not
 50:   intended for eigenanalysis. Consider the excellent package SLEPc if accurate values are required.

 52:   Disable restarts if using `KSPGMRES`, otherwise this estimate will only be using those iterations after the last
 53:   restart. See `KSPGMRESSetRestart()` for more details.

 55: .seealso: [](ch_ksp), `KSPSetComputeSingularValues()`, `KSPMonitorSingularValue()`, `KSPComputeEigenvalues()`, `KSP`, `KSPComputeRitz()`
 56: @*/
 57: PetscErrorCode KSPComputeExtremeSingularValues(KSP ksp, PetscReal *emax, PetscReal *emin)
 58: {
 59:   PetscFunctionBegin;
 61:   PetscAssertPointer(emax, 2);
 62:   PetscAssertPointer(emin, 3);
 63:   PetscCheck(ksp->calc_sings, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONGSTATE, "Singular values not requested before KSPSetUp()");

 65:   if (ksp->ops->computeextremesingularvalues) PetscUseTypeMethod(ksp, computeextremesingularvalues, emax, emin);
 66:   else {
 67:     *emin = -1.0;
 68:     *emax = -1.0;
 69:   }
 70:   PetscFunctionReturn(PETSC_SUCCESS);
 71: }

 73: /*@
 74:   KSPComputeEigenvalues - Computes the extreme eigenvalues for the
 75:   preconditioned operator. Called after or during `KSPSolve()`.

 77:   Not Collective

 79:   Input Parameters:
 80: + ksp - iterative solver obtained from `KSPCreate()`
 81: - n   - size of arrays `r` and `c`. The number of eigenvalues computed `neig` will, in general, be less than this.

 83:   Output Parameters:
 84: + r    - real part of computed eigenvalues, provided by user with a dimension of at least `n`
 85: . c    - complex part of computed eigenvalues, provided by user with a dimension of at least `n`
 86: - neig - actual number of eigenvalues computed (will be less than or equal to `n`)

 88:   Options Database Key:
 89: . -ksp_view_eigenvalues - Prints eigenvalues to stdout

 91:   Level: advanced

 93:   Notes:
 94:   The number of eigenvalues estimated depends on the size of the Krylov space
 95:   generated during the `KSPSolve()` ; for example, with
 96:   `KSPCG` it corresponds to the number of CG iterations, for `KSPGMRES` it is the number
 97:   of GMRES iterations SINCE the last restart. Any extra space in `r` and `c`
 98:   will be ignored.

100:   `KSPComputeEigenvalues()` does not usually provide accurate estimates; it is
101:   intended only for assistance in understanding the convergence of iterative
102:   methods, not for eigenanalysis. For accurate computation of eigenvalues we recommend using
103:   the excellent package SLEPc.

105:   One must call `KSPSetComputeEigenvalues()` before calling `KSPSetUp()`
106:   in order for this routine to work correctly.

108:   Many users may just want to use the monitoring routine
109:   `KSPMonitorSingularValue()` (which can be set with option `-ksp_monitor_singular_value`)
110:   to print the singular values at each iteration of the linear solve.

112:   `KSPComputeRitz()` provides estimates for both the eigenvalues and their corresponding eigenvectors.

114: .seealso: [](ch_ksp), `KSPSetComputeEigenvalues()`, `KSPSetComputeSingularValues()`, `KSPMonitorSingularValue()`, `KSPComputeExtremeSingularValues()`, `KSP`, `KSPComputeRitz()`
115: @*/
116: PetscErrorCode KSPComputeEigenvalues(KSP ksp, PetscInt n, PetscReal r[], PetscReal c[], PetscInt *neig)
117: {
118:   PetscFunctionBegin;
120:   if (n) PetscAssertPointer(r, 3);
121:   if (n) PetscAssertPointer(c, 4);
122:   PetscCheck(n >= 0, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Requested < 0 Eigenvalues");
123:   PetscAssertPointer(neig, 5);
124:   PetscCheck(ksp->calc_sings, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONGSTATE, "Eigenvalues not requested before KSPSetUp()");

126:   if (n && ksp->ops->computeeigenvalues) PetscUseTypeMethod(ksp, computeeigenvalues, n, r, c, neig);
127:   else *neig = 0;
128:   PetscFunctionReturn(PETSC_SUCCESS);
129: }

131: /*@
132:   KSPComputeRitz - Computes the Ritz or harmonic Ritz pairs associated with the
133:   smallest or largest in modulus, for the preconditioned operator.

135:   Not Collective

137:   Input Parameters:
138: + ksp   - iterative solver obtained from `KSPCreate()`
139: . ritz  - `PETSC_TRUE` or `PETSC_FALSE` for Ritz pairs or harmonic Ritz pairs, respectively
140: - small - `PETSC_TRUE` or `PETSC_FALSE` for smallest or largest (harmonic) Ritz values, respectively

142:   Output Parameters:
143: + nrit  - On input number of (harmonic) Ritz pairs to compute; on output, actual number of computed (harmonic) Ritz pairs
144: . S     - an array of the Ritz vectors, pass in an array of vectors of size `nrit`
145: . tetar - real part of the Ritz values, pass in an array of size `nrit`
146: - tetai - imaginary part of the Ritz values, pass in an array of size `nrit`

148:   Level: advanced

150:   Notes:
151:   This only works with a `KSPType` of `KSPGMRES`.

153:   One must call `KSPSetComputeRitz()` before calling `KSPSetUp()` in order for this routine to work correctly.

155:   This routine must be called after `KSPSolve()`.

157:   In `KSPGMRES`, the (harmonic) Ritz pairs are computed from the Hessenberg matrix obtained during
158:   the last complete cycle of the GMRES solve, or during the partial cycle if the solve ended before
159:   a restart (that is a complete GMRES cycle was never achieved).

161:   The number of actual (harmonic) Ritz pairs computed is less than or equal to the restart
162:   parameter for GMRES if a complete cycle has been performed or less or equal to the number of GMRES
163:   iterations.

165:   `KSPComputeEigenvalues()` provides estimates for only the eigenvalues (Ritz values).

167:   For real matrices, the (harmonic) Ritz pairs can be complex-valued. In such a case,
168:   the routine selects the complex (harmonic) Ritz value and its conjugate, and two successive entries of the
169:   vectors `S` are equal to the real and the imaginary parts of the associated vectors.
170:   When PETSc has been built with complex scalars, the real and imaginary parts of the Ritz
171:   values are still returned in `tetar` and `tetai`, as is done in `KSPComputeEigenvalues()`, but
172:   the Ritz vectors S are complex.

174:   The (harmonic) Ritz pairs are given in order of increasing (harmonic) Ritz values in modulus.

176:   The Ritz pairs do not necessarily accurately reflect the eigenvalues and eigenvectors of the operator, consider the
177:   excellent package SLEPc if accurate values are required.

179: .seealso: [](ch_ksp), `KSPSetComputeRitz()`, `KSP`, `KSPGMRES`, `KSPComputeEigenvalues()`, `KSPSetComputeSingularValues()`, `KSPMonitorSingularValue()`
180: @*/
181: PetscErrorCode KSPComputeRitz(KSP ksp, PetscBool ritz, PetscBool small, PetscInt *nrit, Vec S[], PetscReal tetar[], PetscReal tetai[])
182: {
183:   PetscFunctionBegin;
185:   PetscCheck(ksp->calc_ritz, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONGSTATE, "Ritz pairs not requested before KSPSetUp()");
186:   PetscTryTypeMethod(ksp, computeritz, ritz, small, nrit, S, tetar, tetai);
187:   PetscFunctionReturn(PETSC_SUCCESS);
188: }

190: /*@
191:   KSPSetUpOnBlocks - Sets up the preconditioner for each block in
192:   the block Jacobi `PCJACOBI`, overlapping Schwarz `PCASM`, and fieldsplit `PCFIELDSPLIT` preconditioners

194:   Collective

196:   Input Parameter:
197: . ksp - the `KSP` context

199:   Level: advanced

201:   Notes:
202:   `KSPSetUpOnBlocks()` is a routine that the user can optionally call for
203:   more precise profiling (via `-log_view`) of the setup phase for these
204:   block preconditioners.  If the user does not call `KSPSetUpOnBlocks()`,
205:   it will automatically be called from within `KSPSolve()`.

207:   Calling `KSPSetUpOnBlocks()` is the same as calling `PCSetUpOnBlocks()`
208:   on the `PC` context within the `KSP` context.

210: .seealso: [](ch_ksp), `PCSetUpOnBlocks()`, `KSPSetUp()`, `PCSetUp()`, `KSP`
211: @*/
212: PetscErrorCode KSPSetUpOnBlocks(KSP ksp)
213: {
214:   PC             pc;
215:   PCFailedReason pcreason;

217:   PetscFunctionBegin;
219:   level++;
220:   PetscCall(KSPGetPC(ksp, &pc));
221:   PetscCall(PCSetUpOnBlocks(pc));
222:   PetscCall(PCGetFailedReason(pc, &pcreason));
223:   level--;
224:   /*
225:      This is tricky since only a subset of MPI ranks may set this; each KSPSolve_*() is responsible for checking
226:      this flag and initializing an appropriate vector with VecFlag() so that the first norm computation can
227:      produce a result at KSPCheckNorm() thus communicating the known problem to all MPI ranks so they may
228:      terminate the Krylov solve. For many KSP implementations this is handled within KSPInitialResidual()
229:   */
230:   if (pcreason) ksp->reason = KSP_DIVERGED_PC_FAILED;
231:   PetscFunctionReturn(PETSC_SUCCESS);
232: }

234: /*@
235:   KSPSetReusePreconditioner - reuse the current preconditioner for future `KSPSolve()`, do not construct a new preconditioner even if the `Mat` operator
236:   in the `KSP` has different values

238:   Collective

240:   Input Parameters:
241: + ksp  - iterative solver obtained from `KSPCreate()`
242: - flag - `PETSC_TRUE` to reuse the current preconditioner, or `PETSC_FALSE` to construct a new preconditioner

244:   Options Database Key:
245: . -ksp_reuse_preconditioner (true|false) - reuse the previously computed preconditioner

247:   Level: intermediate

249:   Notes:
250:   When using `SNES` one can use `SNESSetLagPreconditioner()` to determine when preconditioners are reused.

252:   Reusing the preconditioner reduces the time needed to form new preconditioners but may (significantly) increase the number
253:   of iterations needed for future solves depending on how much the matrix entries have changed.

255: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSolve()`, `KSPDestroy()`, `KSP`, `KSPGetReusePreconditioner()`,
256:           `SNESSetLagPreconditioner()`, `SNES`
257: @*/
258: PetscErrorCode KSPSetReusePreconditioner(KSP ksp, PetscBool flag)
259: {
260:   PC pc;

262:   PetscFunctionBegin;
264:   PetscCall(KSPGetPC(ksp, &pc));
265:   PetscCall(PCSetReusePreconditioner(pc, flag));
266:   PetscFunctionReturn(PETSC_SUCCESS);
267: }

269: /*@
270:   KSPGetReusePreconditioner - Determines if the `KSP` reuses the current preconditioner even if the `Mat` operator in the `KSP` has changed.

272:   Collective

274:   Input Parameter:
275: . ksp - iterative solver obtained from `KSPCreate()`

277:   Output Parameter:
278: . flag - the boolean flag indicating if the current preconditioner should be reused

280:   Level: intermediate

282: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSolve()`, `KSPDestroy()`, `KSPSetReusePreconditioner()`, `KSP`
283: @*/
284: PetscErrorCode KSPGetReusePreconditioner(KSP ksp, PetscBool *flag)
285: {
286:   PetscFunctionBegin;
288:   PetscAssertPointer(flag, 2);
289:   *flag = PETSC_FALSE;
290:   if (ksp->pc) PetscCall(PCGetReusePreconditioner(ksp->pc, flag));
291:   PetscFunctionReturn(PETSC_SUCCESS);
292: }

294: /*@
295:   KSPSetSkipPCSetFromOptions - prevents `KSPSetFromOptions()` from calling `PCSetFromOptions()`.
296:   This is used if the same `PC` is shared by more than one `KSP` so its options are not reset for each `KSP`

298:   Collective

300:   Input Parameters:
301: + ksp  - iterative solver obtained from `KSPCreate()`
302: - flag - `PETSC_TRUE` to skip calling the `PCSetFromOptions()`

304:   Level: developer

306: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSolve()`, `KSPDestroy()`, `PCSetReusePreconditioner()`, `KSP`
307: @*/
308: PetscErrorCode KSPSetSkipPCSetFromOptions(KSP ksp, PetscBool flag)
309: {
310:   PetscFunctionBegin;
312:   ksp->skippcsetfromoptions = flag;
313:   PetscFunctionReturn(PETSC_SUCCESS);
314: }

316: /*@
317:   KSPSetUp - Sets up the internal data structures for the
318:   later use `KSPSolve()` the `KSP` linear iterative solver.

320:   Collective

322:   Input Parameter:
323: . ksp - iterative solver, `KSP`, obtained from `KSPCreate()`

325:   Level: developer

327:   Note:
328:   This is called automatically by `KSPSolve()` so usually does not need to be called directly.

330: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSolve()`, `KSPDestroy()`, `KSP`, `KSPSetUpOnBlocks()`
331: @*/
332: PetscErrorCode KSPSetUp(KSP ksp)
333: {
334:   Mat            A, B;
335:   Mat            mat;
336:   MatNullSpace   nullsp;
337:   PCFailedReason pcreason;
338:   PC             pc;
339:   PetscBool      pcmpi, Aopset, Bopset;
340:   MatState       amatstate;

342:   PetscFunctionBegin;
344:   PetscCall(KSPGetPC(ksp, &pc));
345:   PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCMPI, &pcmpi));
346:   if (pcmpi) {
347:     PetscBool ksppreonly;
348:     PetscCall(PetscObjectTypeCompare((PetscObject)ksp, KSPPREONLY, &ksppreonly));
349:     if (!ksppreonly) PetscCall(KSPSetType(ksp, KSPPREONLY));
350:   }
351:   level++;

353:   /* reset the convergence flag from the previous solves */
354:   ksp->reason = KSP_CONVERGED_ITERATING;

356:   if (!((PetscObject)ksp)->type_name) PetscCall(KSPSetType(ksp, KSPGMRES));
357:   PetscCall(KSPSetUpNorms_Private(ksp, PETSC_TRUE, &ksp->normtype, &ksp->pc_side));

359:   PetscCall(KSPGetOperatorsSet(ksp, &Aopset, &Bopset));
360:   PetscCheck(Aopset == Bopset, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONGSTATE, "Operators set inconsistency: Amat %d, Pmat %d", (int)Aopset, (int)Bopset);

362:   if ((ksp->dmActive & KSP_DMACTIVE_OPERATOR) && !ksp->setupstage) {
363:     /* first time in so build matrix and vector data structures using DM */
364:     if (!ksp->vec_rhs) PetscCall(DMCreateGlobalVector(ksp->dm, &ksp->vec_rhs));
365:     if (!ksp->vec_sol) PetscCall(DMCreateGlobalVector(ksp->dm, &ksp->vec_sol));

367:     if (!Aopset) {
368:       DMKSP kdm;

370:       PetscCall(DMGetDMKSP(ksp->dm, &kdm));
371:       if (kdm->ops->createoperators) {
372:         A = B = NULL;
373:         PetscCallBack("KSP callback create operators", (*kdm->ops->createoperators)(ksp, &A, &B, kdm->createoperatorsctx));
374:         PetscCheck(A, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONGSTATE, "Missing A operator from DMKSPSetCreateOperators() callback");
375:         if (!B) B = A;
376:         if (B == A) PetscCall(PetscObjectReference((PetscObject)B));
377:         PetscCall(KSPSetOperators(ksp, A, B));
378:         PetscCall(MatDestroy(&A));
379:         PetscCall(MatDestroy(&B));
380:       } else {
381:         PetscCall(DMCreateMatrix(ksp->dm, &A));
382:         PetscCall(KSPSetOperators(ksp, A, A));
383:         PetscCall(MatDestroy(&A));
384:       }
385:     }
386:   }

388:   if (ksp->dmActive) {
389:     DMKSP kdm;
390:     PetscCall(DMGetDMKSP(ksp->dm, &kdm));

392:     if (kdm->ops->computeinitialguess && ksp->setupstage != KSP_SETUP_NEWRHS && (ksp->dmActive & KSP_DMACTIVE_INITIAL_GUESS)) {
393:       /* only computes initial guess the first time through */
394:       PetscCallBack("KSP callback initial guess", (*kdm->ops->computeinitialguess)(ksp, ksp->vec_sol, kdm->initialguessctx));
395:       PetscCall(KSPSetInitialGuessNonzero(ksp, PETSC_TRUE));
396:     }
397:     if (kdm->ops->computerhs && (ksp->dmActive & KSP_DMACTIVE_RHS)) PetscCallBack("KSP callback rhs", (*kdm->ops->computerhs)(ksp, ksp->vec_rhs, kdm->rhsctx));
398:     if (ksp->setupstage != KSP_SETUP_NEWRHS && (ksp->dmActive & KSP_DMACTIVE_OPERATOR)) {
399:       PetscCheck(kdm->ops->computeoperators, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONGSTATE, "You called KSPSetDM() but did not use DMKSPSetComputeOperators() or KSPSetDMActive(ksp, KSP_DMACTIVE_ALL, PETSC_FALSE);");
400:       PetscCall(KSPGetOperators(ksp, &A, &B));
401:       PetscCallBack("KSP callback operators", (*kdm->ops->computeoperators)(ksp, A, B, kdm->operatorsctx));
402:     }
403:   }

405:   /* Final decision if a KSP_SETUP_NEWMATRIX stage is needed */
406:   PetscCall(KSPGetOperators(ksp, &A, NULL));
407:   PetscCall(MatGetState(A, &amatstate));
408:   if (ksp->setupstage == KSP_SETUP_NEWRHS) {
409:     PetscBool same;

411:     PetscCall(MatStateCompare(amatstate, ksp->amatstate, &same));
412:     if (!same) ksp->setupstage = KSP_SETUP_NEWMATRIX;
413:   }

415:   if (ksp->setupstage != KSP_SETUP_NEWRHS) {
416:     PetscCall(PetscLogEventBegin(KSP_SetUp, ksp, ksp->vec_rhs, ksp->vec_sol, 0));
417:     switch (ksp->setupstage) {
418:     case KSP_SETUP_NEW:
419:       PetscUseTypeMethod(ksp, setup);
420:       break;
421:     case KSP_SETUP_NEWMATRIX: /* This should be replaced with a more general mechanism */
422:       if (ksp->setupnewmatrix) PetscUseTypeMethod(ksp, setup);
423:       break;
424:     default:
425:       break;
426:     }
427:     PetscCall(PetscLogEventEnd(KSP_SetUp, ksp, ksp->vec_rhs, ksp->vec_sol, 0));
428:   }

430:   /* setup PC if needed */
431:   PetscCall(PCSetErrorIfFailure(pc, ksp->errorifnotconverged));
432:   PetscCall(PCSetUp(pc));
433:   PetscCall(PCGetFailedReason(pc, &pcreason));
434:   /* TODO: this code was wrong and is still wrong, there is no way to propagate the failure to all processes; their is no code to handle a ksp->reason on only some ranks */
435:   if (pcreason) ksp->reason = KSP_DIVERGED_PC_FAILED;

437:   PetscCall(PCGetOperators(pc, &mat, NULL));
438:   if (ksp->setupstage != KSP_SETUP_NEWRHS) {
439:     PetscCall(MatGetNullSpace(mat, &nullsp));
440:     if (nullsp) {
441:       PetscBool test = PETSC_FALSE;
442:       PetscCall(PetscOptionsGetBool(((PetscObject)ksp)->options, ((PetscObject)ksp)->prefix, "-ksp_test_null_space", &test, NULL));
443:       if (test) PetscCall(MatNullSpaceTest(nullsp, mat, NULL));
444:     }
445:   }

447:   PetscCall(MatGetState(mat, &ksp->amatstate));
448:   ksp->setupstage = KSP_SETUP_NEWRHS;
449:   level--;
450:   PetscFunctionReturn(PETSC_SUCCESS);
451: }

453: /*@
454:   KSPConvergedReasonView - Displays the reason a `KSP` solve converged or diverged, `KSPConvergedReason` to a `PetscViewer`

456:   Collective

458:   Input Parameters:
459: + ksp    - iterative solver obtained from `KSPCreate()`
460: - viewer - the `PetscViewer` on which to display the reason

462:   Options Database Keys:
463: + -ksp_converged_reason          - print reason for converged or diverged, also prints number of iterations
464: - -ksp_converged_reason ::failed - only print reason and number of iterations when diverged

466:   Level: beginner

468:   Note:
469:   Use `KSPConvergedReasonViewFromOptions()` to display the reason based on values in the PETSc options database.

471:   To change the format of the output call `PetscViewerPushFormat`(`viewer`,`format`) before this call. Use `PETSC_VIEWER_DEFAULT` for the default,
472:   use `PETSC_VIEWER_FAILED` to only display a reason if it fails.

474: .seealso: [](ch_ksp), `KSPConvergedReasonViewFromOptions()`, `KSPCreate()`, `KSPSetUp()`, `KSPDestroy()`, `KSPSetTolerances()`, `KSPConvergedDefault()`,
475:           `KSPSolveTranspose()`, `KSPGetIterationNumber()`, `KSP`, `KSPGetConvergedReason()`, `PetscViewerPushFormat()`, `PetscViewerPopFormat()`
476: @*/
477: PetscErrorCode KSPConvergedReasonView(KSP ksp, PetscViewer viewer)
478: {
479:   PetscBool         isAscii;
480:   PetscViewerFormat format;

482:   PetscFunctionBegin;
483:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ksp));
484:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
485:   if (isAscii) {
486:     PetscCall(PetscViewerGetFormat(viewer, &format));
487:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)ksp)->tablevel + 1));
488:     if (ksp->reason > 0 && format != PETSC_VIEWER_FAILED) {
489:       if (((PetscObject)ksp)->prefix) {
490:         PetscCall(PetscViewerASCIIPrintf(viewer, "Linear %s solve converged due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)ksp)->prefix, KSPConvergedReasons[ksp->reason], ksp->its));
491:       } else {
492:         PetscCall(PetscViewerASCIIPrintf(viewer, "Linear solve converged due to %s iterations %" PetscInt_FMT "\n", KSPConvergedReasons[ksp->reason], ksp->its));
493:       }
494:     } else if (ksp->reason <= 0) {
495:       if (((PetscObject)ksp)->prefix) {
496:         PetscCall(PetscViewerASCIIPrintf(viewer, "Linear %s solve did not converge due to %s iterations %" PetscInt_FMT "\n", ((PetscObject)ksp)->prefix, KSPConvergedReasons[ksp->reason], ksp->its));
497:       } else {
498:         PetscCall(PetscViewerASCIIPrintf(viewer, "Linear solve did not converge due to %s iterations %" PetscInt_FMT "\n", KSPConvergedReasons[ksp->reason], ksp->its));
499:       }
500:       if (ksp->reason == KSP_DIVERGED_PC_FAILED) {
501:         PCFailedReason reason;
502:         PetscCall(PCGetFailedReason(ksp->pc, &reason));
503:         PetscCall(PetscViewerASCIIPrintf(viewer, "               PC failed due to %s\n", PCFailedReasons[reason]));
504:       }
505:     }
506:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)ksp)->tablevel + 1));
507:   }
508:   PetscFunctionReturn(PETSC_SUCCESS);
509: }

511: /*@
512:   KSPConvergedReasonViewSet - Sets an ADDITIONAL function that is to be used at the
513:   end of the linear solver to display the convergence reason of the linear solver.

515:   Logically Collective

517:   Input Parameters:
518: + ksp               - the `KSP` context
519: . f                 - the `ksp` converged reason view function, see `KSPConvergedReasonViewFn`
520: . ctx               - [optional] context for private data for the `KSPConvergedReason` view routine (use `NULL` if context is not needed)
521: - reasonviewdestroy - [optional] routine that frees `ctx` (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

523:   Options Database Keys:
524: + -ksp_converged_reason             - sets a default `KSPConvergedReasonView()`
525: - -ksp_converged_reason_view_cancel - cancels all converged reason viewers that have been hardwired into a code by
526:                                       calls to `KSPConvergedReasonViewSet()`, but does not cancel those set via the options database.

528:   Level: intermediate

530:   Note:
531:   Several different converged reason view routines may be set by calling
532:   `KSPConvergedReasonViewSet()` multiple times; all will be called in the
533:   order in which they were set.

535:   Developer Note:
536:   Should be named KSPConvergedReasonViewAdd().

538: .seealso: [](ch_ksp), `KSPConvergedReasonView()`, `KSPConvergedReasonViewFn`, `KSPConvergedReasonViewCancel()`, `PetscCtxDestroyFn`
539: @*/
540: PetscErrorCode KSPConvergedReasonViewSet(KSP ksp, KSPConvergedReasonViewFn *f, PetscCtx ctx, PetscCtxDestroyFn *reasonviewdestroy)
541: {
542:   PetscFunctionBegin;
544:   for (PetscInt i = 0; i < ksp->numberreasonviews; i++) {
545:     PetscBool identical;

547:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, ctx, reasonviewdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)ksp->reasonview[i], ksp->reasonviewcontext[i], ksp->reasonviewdestroy[i], &identical));
548:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
549:   }
550:   PetscCheck(ksp->numberreasonviews < MAXKSPREASONVIEWS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many KSP reasonview set");
551:   ksp->reasonview[ksp->numberreasonviews]          = f;
552:   ksp->reasonviewdestroy[ksp->numberreasonviews]   = reasonviewdestroy;
553:   ksp->reasonviewcontext[ksp->numberreasonviews++] = ctx;
554:   PetscFunctionReturn(PETSC_SUCCESS);
555: }

557: /*@
558:   KSPConvergedReasonViewCancel - Clears all the `KSPConvergedReason` view functions for a `KSP` object set with `KSPConvergedReasonViewSet()`
559:   as well as the default viewer.

561:   Collective

563:   Input Parameter:
564: . ksp - iterative solver obtained from `KSPCreate()`

566:   Level: intermediate

568: .seealso: [](ch_ksp), `KSPCreate()`, `KSPDestroy()`, `KSPReset()`, `KSPConvergedReasonViewSet()`
569: @*/
570: PetscErrorCode KSPConvergedReasonViewCancel(KSP ksp)
571: {
572:   PetscInt i;

574:   PetscFunctionBegin;
576:   for (i = 0; i < ksp->numberreasonviews; i++) {
577:     if (ksp->reasonviewdestroy[i]) PetscCall((*ksp->reasonviewdestroy[i])(&ksp->reasonviewcontext[i]));
578:   }
579:   ksp->numberreasonviews = 0;
580:   PetscCall(PetscViewerDestroy(&ksp->convergedreasonviewer));
581:   PetscFunctionReturn(PETSC_SUCCESS);
582: }

584: /*@
585:   KSPConvergedReasonViewFromOptions - Processes command line options to determine if/how a `KSPConvergedReason` is to be viewed.

587:   Collective

589:   Input Parameter:
590: . ksp - the `KSP` object

592:   Level: intermediate

594:   Notes:
595:   This function has a different API and behavior than `PetscObjectViewFromOptions()`

597:   This is called automatically at the conclusion of `KSPSolve()` so is rarely called directly by user code.

599: .seealso: [](ch_ksp), `KSPConvergedReasonView()`, `KSPConvergedReasonViewSet()`
600: @*/
601: PetscErrorCode KSPConvergedReasonViewFromOptions(KSP ksp)
602: {
603:   PetscFunctionBegin;
604:   /* Call all user-provided reason review routines */
605:   for (PetscInt i = 0; i < ksp->numberreasonviews; i++) PetscCall((*ksp->reasonview[i])(ksp, ksp->reasonviewcontext[i]));

607:   /* Call the default PETSc routine */
608:   if (ksp->convergedreasonviewer) {
609:     PetscCall(PetscViewerPushFormat(ksp->convergedreasonviewer, ksp->convergedreasonformat));
610:     PetscCall(KSPConvergedReasonView(ksp, ksp->convergedreasonviewer));
611:     PetscCall(PetscViewerPopFormat(ksp->convergedreasonviewer));
612:   }
613:   PetscFunctionReturn(PETSC_SUCCESS);
614: }

616: /*@
617:   KSPConvergedRateView - Displays the convergence rate <https://en.wikipedia.org/wiki/Coefficient_of_determination> of `KSPSolve()` to a viewer

619:   Collective

621:   Input Parameters:
622: + ksp    - iterative solver obtained from `KSPCreate()`
623: - viewer - the `PetscViewer` to display the reason

625:   Options Database Key:
626: . -ksp_converged_rate - print reason for convergence or divergence and the convergence rate (or 0.0 for divergence)

628:   Level: intermediate

630:   Notes:
631:   To change the format of the output, call `PetscViewerPushFormat`(`viewer`,`format`) before this call.

633:   Suppose that the residual is reduced linearly, $r_k = c^k r_0$, which means $\log r_k = \log r_0 + k \log c$. After linear regression,
634:   the slope is $\log c$. The coefficient of determination is given by $1 - \frac{\sum_i (y_i - f(x_i))^2}{\sum_i (y_i - \bar y)}$,

636: .seealso: [](ch_ksp), `KSPConvergedReasonView()`, `KSPGetConvergedRate()`, `KSPSetTolerances()`, `KSPConvergedDefault()`
637: @*/
638: PetscErrorCode KSPConvergedRateView(KSP ksp, PetscViewer viewer)
639: {
640:   PetscViewerFormat format;
641:   PetscBool         isAscii;
642:   PetscReal         rrate, rRsq, erate = 0.0, eRsq = 0.0;
643:   PetscInt          its;
644:   const char       *prefix, *reason = KSPConvergedReasons[ksp->reason];

646:   PetscFunctionBegin;
647:   PetscCall(KSPGetIterationNumber(ksp, &its));
648:   PetscCall(KSPComputeConvergenceRate(ksp, &rrate, &rRsq, &erate, &eRsq));
649:   if (!viewer) viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ksp));
650:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isAscii));
651:   if (isAscii) {
652:     PetscCall(KSPGetOptionsPrefix(ksp, &prefix));
653:     PetscCall(PetscViewerGetFormat(viewer, &format));
654:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)ksp)->tablevel));
655:     if (ksp->reason > 0) {
656:       if (prefix) PetscCall(PetscViewerASCIIPrintf(viewer, "Linear %s solve converged due to %s iterations %" PetscInt_FMT, prefix, reason, its));
657:       else PetscCall(PetscViewerASCIIPrintf(viewer, "Linear solve converged due to %s iterations %" PetscInt_FMT, reason, its));
658:       PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE));
659:       if (rRsq >= 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " res rate %g R^2 %g", (double)rrate, (double)rRsq));
660:       if (eRsq >= 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " error rate %g R^2 %g", (double)erate, (double)eRsq));
661:       PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
662:       PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE));
663:     } else if (ksp->reason <= 0) {
664:       if (prefix) PetscCall(PetscViewerASCIIPrintf(viewer, "Linear %s solve did not converge due to %s iterations %" PetscInt_FMT, prefix, reason, its));
665:       else PetscCall(PetscViewerASCIIPrintf(viewer, "Linear solve did not converge due to %s iterations %" PetscInt_FMT, reason, its));
666:       PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE));
667:       if (rRsq >= 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " res rate %g R^2 %g", (double)rrate, (double)rRsq));
668:       if (eRsq >= 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " error rate %g R^2 %g", (double)erate, (double)eRsq));
669:       PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
670:       PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE));
671:       if (ksp->reason == KSP_DIVERGED_PC_FAILED) {
672:         PCFailedReason reason;
673:         PetscCall(PCGetFailedReason(ksp->pc, &reason));
674:         PetscCall(PetscViewerASCIIPrintf(viewer, "               PC failed due to %s\n", PCFailedReasons[reason]));
675:       }
676:     }
677:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)ksp)->tablevel));
678:   }
679:   PetscFunctionReturn(PETSC_SUCCESS);
680: }

682: #include <petscdraw.h>

684: static PetscErrorCode KSPViewEigenvalues_Internal(KSP ksp, PetscBool isExplicit, PetscViewer viewer, PetscViewerFormat format)
685: {
686:   PetscReal  *r, *c;
687:   PetscInt    n, i, neig;
688:   PetscBool   isascii, isdraw;
689:   PetscMPIInt rank;

691:   PetscFunctionBegin;
692:   PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)ksp), &rank));
693:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
694:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
695:   if (isExplicit) {
696:     PetscCall(VecGetSize(ksp->vec_sol, &n));
697:     PetscCall(PetscMalloc2(n, &r, n, &c));
698:     PetscCall(KSPComputeEigenvaluesExplicitly(ksp, n, r, c));
699:     neig = n;
700:   } else {
701:     PetscInt nits;

703:     PetscCall(KSPGetIterationNumber(ksp, &nits));
704:     n = nits + 2;
705:     if (!nits) {
706:       PetscCall(PetscViewerASCIIPrintf(viewer, "Zero iterations in solver, cannot approximate any eigenvalues\n"));
707:       PetscFunctionReturn(PETSC_SUCCESS);
708:     }
709:     PetscCall(PetscMalloc2(n, &r, n, &c));
710:     PetscCall(KSPComputeEigenvalues(ksp, n, r, c, &neig));
711:   }
712:   if (isascii) {
713:     PetscCall(PetscViewerASCIIPrintf(viewer, "%s computed eigenvalues\n", isExplicit ? "Explicitly" : "Iteratively"));
714:     for (i = 0; i < neig; ++i) {
715:       if (c[i] >= 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, "%g + %gi\n", (double)r[i], (double)c[i]));
716:       else PetscCall(PetscViewerASCIIPrintf(viewer, "%g - %gi\n", (double)r[i], -(double)c[i]));
717:     }
718:   } else if (isdraw && rank == 0) {
719:     PetscDraw   draw;
720:     PetscDrawSP drawsp;

722:     if (format == PETSC_VIEWER_DRAW_CONTOUR) {
723:       PetscCall(KSPPlotEigenContours_Private(ksp, neig, r, c));
724:     } else {
725:       PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
726:       PetscCall(PetscDrawSPCreate(draw, 1, &drawsp));
727:       PetscCall(PetscDrawSPReset(drawsp));
728:       for (i = 0; i < neig; ++i) PetscCall(PetscDrawSPAddPoint(drawsp, r + i, c + i));
729:       PetscCall(PetscDrawSPDraw(drawsp, PETSC_TRUE));
730:       PetscCall(PetscDrawSPSave(drawsp));
731:       PetscCall(PetscDrawSPDestroy(&drawsp));
732:     }
733:   }
734:   PetscCall(PetscFree2(r, c));
735:   PetscFunctionReturn(PETSC_SUCCESS);
736: }

738: static PetscErrorCode KSPViewSingularvalues_Internal(KSP ksp, PetscViewer viewer, PetscViewerFormat format)
739: {
740:   PetscReal smax, smin;
741:   PetscInt  nits;
742:   PetscBool isascii;

744:   PetscFunctionBegin;
745:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
746:   PetscCall(KSPGetIterationNumber(ksp, &nits));
747:   if (!nits) {
748:     PetscCall(PetscViewerASCIIPrintf(viewer, "Zero iterations in solver, cannot approximate any singular values\n"));
749:     PetscFunctionReturn(PETSC_SUCCESS);
750:   }
751:   PetscCall(KSPComputeExtremeSingularValues(ksp, &smax, &smin));
752:   if (isascii) PetscCall(PetscViewerASCIIPrintf(viewer, "Iteratively computed extreme %svalues: max %g min %g max/min %g\n", smin < 0 ? "eigen" : "singular ", (double)smax, (double)smin, (double)(smax / smin)));
753:   PetscFunctionReturn(PETSC_SUCCESS);
754: }

756: static PetscErrorCode KSPViewFinalResidual_Internal(KSP ksp, PetscViewer viewer, PetscViewerFormat format)
757: {
758:   PetscBool isascii;

760:   PetscFunctionBegin;
761:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
762:   if (isascii) {
763:     Mat       A;
764:     Vec       t;
765:     PetscReal norm;

767:     PetscCall(PCGetOperators(ksp->pc, &A, NULL));
768:     PetscCall(VecDuplicate(ksp->vec_rhs, &t));
769:     PetscCall(KSP_MatMult(ksp, A, ksp->vec_sol, t));
770:     PetscCall(VecAYPX(t, -1.0, ksp->vec_rhs));
771:     PetscCall(PetscOptionsPushCreateViewerOff(PETSC_FALSE));
772:     PetscCall(VecViewFromOptions(t, (PetscObject)ksp, "-ksp_view_final_residual_vec"));
773:     PetscCall(PetscOptionsPopCreateViewerOff());
774:     PetscCall(VecNorm(t, NORM_2, &norm));
775:     PetscCall(VecDestroy(&t));
776:     PetscCall(PetscViewerASCIIPrintf(viewer, "KSP final norm of residual %g\n", (double)norm));
777:   }
778:   PetscFunctionReturn(PETSC_SUCCESS);
779: }

781: PETSC_SINGLE_LIBRARY_INTERN PetscErrorCode PetscMonitorPauseFinal_Internal(PetscInt n, PetscCtx ctx[])
782: {
783:   PetscFunctionBegin;
784:   for (PetscInt i = 0; i < n; ++i) {
785:     PetscViewerAndFormat *vf = (PetscViewerAndFormat *)ctx[i];
786:     PetscDraw             draw;
787:     PetscReal             lpause;
788:     PetscBool             isdraw;

790:     if (!vf) continue;
791:     if (!PetscCheckPointer(vf->viewer, PETSC_OBJECT)) continue;
792:     if (((PetscObject)vf->viewer)->classid != PETSC_VIEWER_CLASSID) continue;
793:     PetscCall(PetscObjectTypeCompare((PetscObject)vf->viewer, PETSCVIEWERDRAW, &isdraw));
794:     if (!isdraw) continue;

796:     PetscCall(PetscViewerDrawGetDraw(vf->viewer, 0, &draw));
797:     PetscCall(PetscDrawGetPause(draw, &lpause));
798:     PetscCall(PetscDrawSetPause(draw, -1.0));
799:     PetscCall(PetscDrawPause(draw));
800:     PetscCall(PetscDrawSetPause(draw, lpause));
801:   }
802:   PetscFunctionReturn(PETSC_SUCCESS);
803: }

805: static PetscErrorCode KSPMonitorPauseFinal_Internal(KSP ksp)
806: {
807:   PetscFunctionBegin;
808:   if (!ksp->pauseFinal) PetscFunctionReturn(PETSC_SUCCESS);
809:   PetscCall(PetscMonitorPauseFinal_Internal(ksp->numbermonitors, ksp->monitorcontext));
810:   PetscFunctionReturn(PETSC_SUCCESS);
811: }

813: static PetscErrorCode KSPSolve_Private(KSP ksp, Vec b, Vec x)
814: {
815:   PetscBool    flg = PETSC_FALSE, inXisinB = PETSC_FALSE, guess_zero;
816:   Mat          mat, pmat;
817:   MPI_Comm     comm;
818:   MatNullSpace nullsp;
819:   Vec          btmp, vec_rhs = NULL;

821:   PetscFunctionBegin;
822:   level++;
823:   comm = PetscObjectComm((PetscObject)ksp);
824:   /* ksp->mat_rhs is only set around the ksp->ops->matsolve call in KSPMatSolve_Private(), so clearing it here keeps KSPConvergedDefault() from reading a block of right-hand sides that this solve does not own */
825:   ksp->mat_rhs = NULL;
826:   if (x && x == b) {
827:     PetscCheck(ksp->guess_zero, comm, PETSC_ERR_ARG_INCOMP, "Cannot use x == b with nonzero initial guess");
828:     PetscCall(VecDuplicate(b, &x));
829:     inXisinB = PETSC_TRUE;
830:   }
831:   if (b) {
832:     PetscCall(PetscObjectReference((PetscObject)b));
833:     PetscCall(VecDestroy(&ksp->vec_rhs));
834:     ksp->vec_rhs = b;
835:   }
836:   if (x) {
837:     PetscCall(PetscObjectReference((PetscObject)x));
838:     PetscCall(VecDestroy(&ksp->vec_sol));
839:     ksp->vec_sol = x;
840:   }

842:   if (ksp->viewPre) PetscCall(ObjectView((PetscObject)ksp, ksp->viewerPre, ksp->formatPre));

844:   /* reset the residual history list if requested */
845:   if (ksp->res_hist_reset) ksp->res_hist_len = 0;
846:   if (ksp->err_hist_reset) ksp->err_hist_len = 0;

848:   PetscCall(KSPSetUp(ksp));
849:   PetscCall(KSPSetUpOnBlocks(ksp));

851:   if (ksp->guess) {
852:     PetscObjectState ostate, state;

854:     PetscCall(KSPGuessSetUp(ksp->guess));
855:     PetscCall(PetscObjectStateGet((PetscObject)ksp->vec_sol, &ostate));
856:     PetscCall(KSPGuessFormGuess(ksp->guess, ksp->vec_rhs, ksp->vec_sol));
857:     PetscCall(PetscObjectStateGet((PetscObject)ksp->vec_sol, &state));
858:     if (state != ostate) {
859:       ksp->guess_zero = PETSC_FALSE;
860:     } else {
861:       PetscCall(PetscInfo(ksp, "Using zero initial guess since the KSPGuess object did not change the vector\n"));
862:       ksp->guess_zero = PETSC_TRUE;
863:     }
864:   }

866:   PetscCall(KSPPreSolve(ksp, ksp->vec_rhs, ksp->vec_sol));

868:   PetscCall(VecSetErrorIfLocked(ksp->vec_sol, 3));

870:   PetscCall(PetscLogEventBegin(!ksp->transpose.solve_requested ? KSP_Solve : KSP_SolveTranspose, ksp, ksp->vec_rhs, ksp->vec_sol, 0));
871:   PetscCall(PCGetOperators(ksp->pc, &mat, NULL));
872:   PetscCall(PCPreSolve(ksp->pc, ksp));

874:   if (ksp->guess_zero && !ksp->guess_not_read) PetscCall(VecSet(ksp->vec_sol, 0.0));
875:   if (ksp->guess_knoll) { /* The Knoll trick is independent on the KSPGuess specified */
876:     PetscCall(PCApply(ksp->pc, ksp->vec_rhs, ksp->vec_sol));
877:     PetscCall(KSP_RemoveNullSpace(ksp, ksp->vec_sol));
878:     ksp->guess_zero = PETSC_FALSE;
879:   }

881:   /* can we mark the initial guess as zero for this solve? */
882:   guess_zero = ksp->guess_zero;
883:   if (!ksp->guess_zero) {
884:     PetscReal norm;

886:     PetscCall(VecNormAvailable(ksp->vec_sol, NORM_2, &flg, &norm));
887:     if (flg && !norm) ksp->guess_zero = PETSC_TRUE;
888:   }
889:   if (ksp->transpose_solve) {
890:     PetscCall(MatGetNullSpace(mat, &nullsp));
891:   } else {
892:     PetscCall(MatGetTransposeNullSpace(mat, &nullsp));
893:   }
894:   if (nullsp) {
895:     PetscCall(VecDuplicate(ksp->vec_rhs, &btmp));
896:     PetscCall(VecCopy(ksp->vec_rhs, btmp));
897:     PetscCall(MatNullSpaceRemove(nullsp, btmp));
898:     vec_rhs      = ksp->vec_rhs;
899:     ksp->vec_rhs = btmp;
900:   }
901:   PetscCall(VecLockReadPush(ksp->vec_rhs));
902:   PetscUseTypeMethod(ksp, solve);
903:   PetscCall(KSPMonitorPauseFinal_Internal(ksp));

905:   PetscCall(VecLockReadPop(ksp->vec_rhs));
906:   if (nullsp) {
907:     ksp->vec_rhs = vec_rhs;
908:     PetscCall(VecDestroy(&btmp));
909:   }

911:   ksp->guess_zero = guess_zero;

913:   PetscCheck(ksp->reason, comm, PETSC_ERR_PLIB, "Internal error, solver returned without setting converged reason");
914:   ksp->totalits += ksp->its;

916:   PetscCall(KSPConvergedReasonViewFromOptions(ksp));

918:   if (ksp->viewRate) {
919:     PetscCall(PetscViewerPushFormat(ksp->viewerRate, ksp->formatRate));
920:     PetscCall(KSPConvergedRateView(ksp, ksp->viewerRate));
921:     PetscCall(PetscViewerPopFormat(ksp->viewerRate));
922:   }
923:   PetscCall(PCPostSolve(ksp->pc, ksp));

925:   PetscCall(PetscLogEventEnd(!ksp->transpose.solve_requested ? KSP_Solve : KSP_SolveTranspose, ksp, ksp->vec_rhs, ksp->vec_sol, 0));
926:   if (ksp->guess) PetscCall(KSPGuessUpdate(ksp->guess, ksp->vec_rhs, ksp->vec_sol));
927:   PetscCall(KSPPostSolve(ksp, ksp->vec_rhs, ksp->vec_sol));

929:   PetscCall(PCGetOperators(ksp->pc, &mat, &pmat));
930:   if (ksp->viewEV) PetscCall(KSPViewEigenvalues_Internal(ksp, PETSC_FALSE, ksp->viewerEV, ksp->formatEV));
931:   if (ksp->viewEVExp) PetscCall(KSPViewEigenvalues_Internal(ksp, PETSC_TRUE, ksp->viewerEVExp, ksp->formatEVExp));
932:   if (ksp->viewSV) PetscCall(KSPViewSingularvalues_Internal(ksp, ksp->viewerSV, ksp->formatSV));
933:   if (ksp->viewFinalRes) PetscCall(KSPViewFinalResidual_Internal(ksp, ksp->viewerFinalRes, ksp->formatFinalRes));
934:   if (ksp->viewMat) PetscCall(ObjectView((PetscObject)mat, ksp->viewerMat, ksp->formatMat));
935:   if (ksp->viewPMat) PetscCall(ObjectView((PetscObject)pmat, ksp->viewerPMat, ksp->formatPMat));
936:   if (ksp->viewRhs) PetscCall(ObjectView((PetscObject)ksp->vec_rhs, ksp->viewerRhs, ksp->formatRhs));
937:   if (ksp->viewSol) PetscCall(ObjectView((PetscObject)ksp->vec_sol, ksp->viewerSol, ksp->formatSol));
938:   if (ksp->view) PetscCall(ObjectView((PetscObject)ksp, ksp->viewer, ksp->format));
939:   if (ksp->viewMatExp) {
940:     Mat B;

942:     if (ksp->transpose_solve) {
943:       Mat AT;

945:       PetscCall(MatCreateTranspose(mat, &AT));
946:       PetscCall(MatComputeOperator(AT, MATAIJ, &B));
947:       PetscCall(MatDestroy(&AT));
948:     } else {
949:       PetscCall(MatComputeOperator(mat, MATAIJ, &B));
950:     }
951:     PetscCall(ObjectView((PetscObject)B, ksp->viewerMatExp, ksp->formatMatExp));
952:     PetscCall(MatDestroy(&B));
953:   }
954:   if (ksp->viewPOpExp) {
955:     Mat B;

957:     PetscCall(KSPComputeOperator(ksp, MATAIJ, &B));
958:     PetscCall(ObjectView((PetscObject)B, ksp->viewerPOpExp, ksp->formatPOpExp));
959:     PetscCall(MatDestroy(&B));
960:   }

962:   if (inXisinB) {
963:     PetscCall(VecCopy(x, b));
964:     PetscCall(VecDestroy(&x));
965:   }
966:   PetscCall(PetscObjectSAWsBlock((PetscObject)ksp));
967:   if (ksp->errorifnotconverged && ksp->reason < 0 && ((level == 1) || (ksp->reason != KSP_DIVERGED_ITS))) {
968:     PCFailedReason reason;

970:     PetscCheck(ksp->reason == KSP_DIVERGED_PC_FAILED, comm, PETSC_ERR_NOT_CONVERGED, "KSPSolve%s() has not converged, reason %s", !ksp->transpose.solve_requested ? "" : "Transpose", KSPConvergedReasons[ksp->reason]);
971:     PetscCall(PCGetFailedReason(ksp->pc, &reason));
972:     SETERRQ(comm, PETSC_ERR_NOT_CONVERGED, "KSPSolve%s() has not converged, reason %s PC failed due to %s", !ksp->transpose.solve_requested ? "" : "Transpose", KSPConvergedReasons[ksp->reason], PCFailedReasons[reason]);
973:   }
974:   level--;
975:   PetscFunctionReturn(PETSC_SUCCESS);
976: }

978: /*@
979:   KSPSolve - Solves a linear system associated with `KSP` object

981:   Collective

983:   Input Parameters:
984: + ksp - iterative solver obtained from `KSPCreate()`
985: . b   - the right-hand side vector
986: - x   - the solution (this may be the same vector as `b`, then `b` will be overwritten with the answer)

988:   Level: beginner

990:   Notes:
991:   See `KSPSetFromOptions()` for options database keys that affect `KSPSolve()`

993:   If one uses `KSPSetDM()` then `x` or `b` need not be passed. Use `KSPGetSolution()` to access the solution in this case.

995:   The operator is specified with `KSPSetOperators()`.

997:   `KSPSolve()` will normally return without generating an error regardless of whether the linear system was solved or if constructing the preconditioner failed.
998:   Call `KSPGetConvergedReason()` to determine if the solver converged or failed and why. The option -ksp_error_if_not_converged or function `KSPSetErrorIfNotConverged()`
999:   will cause `KSPSolve()` to error as soon as an error occurs in the linear solver.  In inner `KSPSolve()` `KSP_DIVERGED_ITS` is not treated as an error because when using nested solvers
1000:   it may be fine that inner solvers in the preconditioner do not converge during the solution process.

1002:   The number of iterations can be obtained from `KSPGetIterationNumber()`.

1004:   If you provide a matrix that has a `MatSetNullSpace()` and `MatSetTransposeNullSpace()` this will use that information to solve singular systems
1005:   in the least squares sense with a norm minimizing solution.

1007:   $A x = b $  where $b = b_p + b_t$ where $b_t$ is not in the range of $A$ (and hence by the fundamental theorem of linear algebra is in the nullspace(A'), see `MatSetNullSpace()`).

1009:   `KSP` first removes $b_t$ producing the linear system $A x = b_p$ (which has multiple solutions) and solves this to find the $\|x\|$ minimizing solution (and hence
1010:   it finds the solution $x$ orthogonal to the nullspace(A). The algorithm is simply in each iteration of the Krylov method we remove the nullspace(A) from the search
1011:   direction thus the solution which is a linear combination of the search directions has no component in the nullspace(A).

1013:   We recommend always using `KSPGMRES` for such singular systems.
1014:   If $ nullspace(A) = nullspace(A^T)$ (note symmetric matrices always satisfy this property) then both left and right preconditioning will work
1015:   If $nullspace(A) \neq nullspace(A^T)$ then left preconditioning will work but right preconditioning may not work (or it may).

1017:   Developer Notes:
1018:   The reason we cannot always solve  $nullspace(A) \neq nullspace(A^T)$ systems with right preconditioning is because we need to remove at each iteration
1019:   $ nullspace(AB) $ from the search direction. While we know the $nullspace(A)$, $nullspace(AB)$ equals $B^{-1}$ times $nullspace(A)$ but except for trivial preconditioners
1020:   such as diagonal scaling we cannot apply the inverse of the preconditioner to a vector and thus cannot compute $nullspace(AB)$.

1022:   If using a direct method (e.g., via the `KSP` solver
1023:   `KSPPREONLY` and a preconditioner such as `PCLU` or `PCCHOLESKY` then usually one iteration of the `KSP` method will be needed for convergence.

1025:   To solve a linear system with the transpose of the matrix use `KSPSolveTranspose()`.

1027:   Understanding Convergence\:
1028:   The manual pages `KSPMonitorSet()`, `KSPComputeEigenvalues()`, and
1029:   `KSPComputeEigenvaluesExplicitly()` provide information on additional
1030:   options to monitor convergence and print eigenvalue information.

1032: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSetUp()`, `KSPDestroy()`, `KSPSetTolerances()`, `KSPConvergedDefault()`,
1033:           `KSPSolveTranspose()`, `KSPGetIterationNumber()`, `MatNullSpaceCreate()`, `MatSetNullSpace()`, `MatSetTransposeNullSpace()`, `KSP`,
1034:           `KSPConvergedReasonView()`, `KSPCheckSolve()`, `KSPSetErrorIfNotConverged()`
1035: @*/
1036: PetscErrorCode KSPSolve(KSP ksp, Vec b, Vec x)
1037: {
1038:   PetscBool isPCMPI;

1040:   PetscFunctionBegin;
1044:   PetscCall(KSPRestoreExplicitTranspose_Private(ksp));
1045:   ksp->transpose_solve           = PETSC_FALSE;
1046:   ksp->transpose.solve_requested = PETSC_FALSE;
1047:   PetscCall(KSPSolve_Private(ksp, b, x));
1048:   PetscCall(PetscObjectTypeCompare((PetscObject)ksp->pc, PCMPI, &isPCMPI));
1049:   if (PCMPIServerActive && isPCMPI) {
1050:     KSP subksp;

1052:     PetscCall(PCMPIGetKSP(ksp->pc, &subksp));
1053:     ksp->its    = subksp->its;
1054:     ksp->reason = subksp->reason;
1055:   }
1056:   PetscFunctionReturn(PETSC_SUCCESS);
1057: }

1059: static PetscErrorCode KSPResetExplicitTranspose_Private(KSP ksp)
1060: {
1061:   PetscFunctionBegin;
1062:   PetscCall(MatDestroy(&ksp->transpose.AT));
1063:   PetscCall(MatDestroy(&ksp->transpose.BT));
1064:   PetscCall(MatDestroy(&ksp->transpose.A));
1065:   PetscCall(MatDestroy(&ksp->transpose.B));
1066:   ksp->transpose.Aid             = 0;
1067:   ksp->transpose.Bid             = 0;
1068:   ksp->transpose.Anonzerostate   = 0;
1069:   ksp->transpose.Bnonzerostate   = 0;
1070:   ksp->transpose.reuse_transpose = PETSC_FALSE;
1071:   PetscFunctionReturn(PETSC_SUCCESS);
1072: }

1074: static PetscErrorCode KSPRestoreExplicitTranspose_Private(KSP ksp)
1075: {
1076:   Mat              J, Jpre;
1077:   PetscObjectState Jnonzerostate, Jprenonzerostate;
1078:   PetscBool        reset, restore = PETSC_FALSE;

1080:   PetscFunctionBegin;
1081:   if (!ksp->transpose.reuse_transpose) PetscFunctionReturn(PETSC_SUCCESS);
1082:   PetscCall(KSPGetOperators(ksp, &J, &Jpre));
1083:   if (J == ksp->transpose.AT) {
1084:     J       = ksp->transpose.A;
1085:     restore = PETSC_TRUE;
1086:   }
1087:   if (Jpre == ksp->transpose.BT) {
1088:     Jpre    = ksp->transpose.B;
1089:     restore = PETSC_TRUE;
1090:   }
1091:   PetscCall(MatGetNonzeroState(J, &Jnonzerostate));
1092:   PetscCall(MatGetNonzeroState(Jpre, &Jprenonzerostate));
1093:   reset = (PetscBool)(((PetscObject)J)->id != ksp->transpose.Aid || ((PetscObject)Jpre)->id != ksp->transpose.Bid || Jnonzerostate != ksp->transpose.Anonzerostate || Jprenonzerostate != ksp->transpose.Bnonzerostate);
1094:   if (restore) PetscCall(KSPSetOperators(ksp, J, Jpre));
1095:   if (reset) PetscCall(KSPResetExplicitTranspose_Private(ksp));
1096:   PetscFunctionReturn(PETSC_SUCCESS);
1097: }

1099: static PetscErrorCode KSPUseExplicitTranspose_Private(KSP ksp)
1100: {
1101:   Mat              J, Jpre, holdJ = NULL, holdJpre = NULL;
1102:   PetscObjectState ATstate, BTstate, Jnonzerostate, Jprenonzerostate, state;
1103:   PetscBool        rebuild, transposes_set = PETSC_FALSE;

1105:   PetscFunctionBegin;
1106:   ksp->transpose_solve = PETSC_FALSE;
1107:   PetscCall(KSPGetOperators(ksp, &J, &Jpre));
1108:   if (ksp->transpose.reuse_transpose) {
1109:     transposes_set = (PetscBool)(J == ksp->transpose.AT && Jpre == ksp->transpose.BT);
1110:     /* A previous call set the cached transposes as the KSP operators; update them from their parent operators */
1111:     if (J == ksp->transpose.AT) J = ksp->transpose.A;
1112:     if (Jpre == ksp->transpose.BT) Jpre = ksp->transpose.B;
1113:   }
1114:   PetscCall(MatGetNonzeroState(J, &Jnonzerostate));
1115:   PetscCall(MatGetNonzeroState(Jpre, &Jprenonzerostate));
1116:   if (ksp->transpose.reuse_transpose && (((PetscObject)J)->id != ksp->transpose.Aid || ((PetscObject)Jpre)->id != ksp->transpose.Bid || Jnonzerostate != ksp->transpose.Anonzerostate || Jprenonzerostate != ksp->transpose.Bnonzerostate)) {
1117:     PetscCall(PetscObjectReference((PetscObject)J));
1118:     PetscCall(PetscObjectReference((PetscObject)Jpre));
1119:     holdJ    = J;
1120:     holdJpre = Jpre;
1121:     PetscCall(KSPResetExplicitTranspose_Private(ksp));
1122:   }
1123:   if (!ksp->transpose.reuse_transpose) {
1124:     PetscCall(PetscObjectReference((PetscObject)J));
1125:     PetscCall(PetscObjectReference((PetscObject)Jpre));
1126:     ksp->transpose.A             = J;
1127:     ksp->transpose.B             = Jpre;
1128:     ksp->transpose.Aid           = ((PetscObject)J)->id;
1129:     ksp->transpose.Bid           = ((PetscObject)Jpre)->id;
1130:     ksp->transpose.Anonzerostate = Jnonzerostate;
1131:     ksp->transpose.Bnonzerostate = Jprenonzerostate;
1132:     PetscCall(MatTranspose(J, MAT_INITIAL_MATRIX, &ksp->transpose.AT));
1133:     if (J != Jpre) PetscCall(MatTranspose(Jpre, MAT_INITIAL_MATRIX, &ksp->transpose.BT));
1134:     else {
1135:       PetscCall(PetscObjectReference((PetscObject)ksp->transpose.AT));
1136:       ksp->transpose.BT = ksp->transpose.AT;
1137:     }
1138:     ksp->transpose.reuse_transpose = PETSC_TRUE;
1139:     rebuild                        = PETSC_TRUE;
1140:   } else {
1141:     PetscCall(PetscObjectStateGet((PetscObject)ksp->transpose.AT, &ATstate));
1142:     PetscCall(PetscObjectStateGet((PetscObject)ksp->transpose.BT, &BTstate));
1143:     PetscCall(MatTranspose(J, MAT_REUSE_MATRIX, &ksp->transpose.AT));
1144:     if (J != Jpre) PetscCall(MatTranspose(Jpre, MAT_REUSE_MATRIX, &ksp->transpose.BT));
1145:     PetscCall(PetscObjectStateGet((PetscObject)ksp->transpose.AT, &state));
1146:     rebuild = (PetscBool)(ATstate != state);
1147:     PetscCall(PetscObjectStateGet((PetscObject)ksp->transpose.BT, &state));
1148:     rebuild = (PetscBool)(rebuild || BTstate != state);
1149:   }
1150:   if (rebuild || !transposes_set) PetscCall(KSPSetOperators(ksp, ksp->transpose.AT, ksp->transpose.BT));
1151:   PetscCall(MatDestroy(&holdJ));
1152:   PetscCall(MatDestroy(&holdJpre));
1153:   PetscFunctionReturn(PETSC_SUCCESS);
1154: }

1156: /*@
1157:   KSPSolveTranspose - Solves a linear system with the transpose of the matrix associated with the `KSP` object, $A^T x = b$.

1159:   Collective

1161:   Input Parameters:
1162: + ksp - iterative solver obtained from `KSPCreate()`
1163: . b   - right-hand side vector
1164: - x   - solution vector

1166:   Level: developer

1168:   Note:
1169:   For complex numbers, this solves the non-Hermitian transpose system. `KSPSetUseExplicitTranspose()` controls whether the transpose is formed explicitly and describes the
1170:   effect on the `KSP` operators.

1172:   Developer Note:
1173:   We need to implement a `KSPSolveHermitianTranspose()`

1175: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSetUp()`, `KSPDestroy()`, `KSPSetTolerances()`, `KSPConvergedDefault()`,
1176:           `KSPSolve()`, `KSPSetUseExplicitTranspose()`, `KSP`, `KSPSetOperators()`
1177: @*/
1178: PetscErrorCode KSPSolveTranspose(KSP ksp, Vec b, Vec x)
1179: {
1180:   PetscFunctionBegin;
1184:   ksp->transpose.solve_requested = PETSC_TRUE;
1185:   if (ksp->transpose.use_explicittranspose) PetscCall(KSPUseExplicitTranspose_Private(ksp));
1186:   else ksp->transpose_solve = PETSC_TRUE;
1187:   PetscCall(KSPSolve_Private(ksp, b, x));
1188:   PetscFunctionReturn(PETSC_SUCCESS);
1189: }

1191: static PetscErrorCode KSPViewFinalMatResidual_Internal(KSP ksp, Mat B, Mat X, PetscViewer viewer, PetscViewerFormat format, PetscInt shift)
1192: {
1193:   Mat        A, R;
1194:   PetscReal *norms;
1195:   PetscInt   N;
1196:   PetscBool  flg;

1198:   PetscFunctionBegin;
1199:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &flg));
1200:   if (flg) {
1201:     PetscCall(PCGetOperators(ksp->pc, &A, NULL));
1202:     if (!ksp->transpose_solve) PetscCall(MatMatMult(A, X, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &R));
1203:     else PetscCall(MatTransposeMatMult(A, X, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &R));
1204:     PetscCall(MatAYPX(R, -1.0, B, SAME_NONZERO_PATTERN));
1205:     PetscCall(MatGetSize(R, NULL, &N));
1206:     PetscCall(PetscMalloc1(N, &norms));
1207:     PetscCall(MatGetColumnNorms(R, NORM_2, norms));
1208:     PetscCall(MatDestroy(&R));
1209:     for (PetscInt i = 0; i < N; ++i) PetscCall(PetscViewerASCIIPrintf(viewer, "%s #%" PetscInt_FMT " %g\n", i == 0 ? "KSP final norm of residual" : "                          ", shift + i, (double)norms[i]));
1210:     PetscCall(PetscFree(norms));
1211:   }
1212:   PetscFunctionReturn(PETSC_SUCCESS);
1213: }

1215: static PetscErrorCode KSPMatSolve_Private(KSP ksp, Mat B, Mat X)
1216: {
1217:   Mat       A, P, vB, vX;
1218:   Vec       cb, cx;
1219:   PetscInt  n1, N1, n2, N2, Bbn = PETSC_DECIDE;
1220:   PetscBool match;

1222:   PetscFunctionBegin;
1223:   PetscCheckSameComm(ksp, 1, B, 2);
1224:   PetscCheckSameComm(ksp, 1, X, 3);
1225:   ksp->mat_rhs = NULL; /* it is set around the ksp->ops->matsolve calls below, an erroring type method must not leave it dangling */
1226:   PetscCheck(B->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
1227:   MatCheckPreallocated(X, 3);
1228:   if (!X->assembled) {
1229:     PetscCall(MatSetOption(X, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
1230:     PetscCall(MatAssemblyBegin(X, MAT_FINAL_ASSEMBLY));
1231:     PetscCall(MatAssemblyEnd(X, MAT_FINAL_ASSEMBLY));
1232:   }
1233:   PetscCheck(B != X, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_IDN, "B and X must be different matrices");
1234:   PetscCall(KSPGetOperators(ksp, &A, &P));
1235:   PetscCall(MatGetLocalSize(B, NULL, &n2));
1236:   PetscCall(MatGetLocalSize(X, NULL, &n1));
1237:   PetscCall(MatGetSize(B, NULL, &N2));
1238:   PetscCall(MatGetSize(X, NULL, &N1));
1239:   PetscCheck(n1 == n2 && N1 == N2, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Incompatible number of columns between block of right-hand sides (n,N) = (%" PetscInt_FMT ",%" PetscInt_FMT ") and block of solutions (n,N) = (%" PetscInt_FMT ",%" PetscInt_FMT ")", n2, N2, n1, N1);
1240:   PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &match, MATSEQDENSE, MATMPIDENSE, ""));
1241:   PetscCheck(match, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Provided block of right-hand sides not stored in a dense Mat");
1242:   PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)X, &match, MATSEQDENSE, MATMPIDENSE, ""));
1243:   PetscCheck(match, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Provided block of solutions not stored in a dense Mat");
1244:   PetscCall(KSPSetUp(ksp));
1245:   PetscCall(KSPSetUpOnBlocks(ksp));
1246:   if (ksp->ops->matsolve) {
1247:     level++;
1248:     if (ksp->guess_zero) PetscCall(MatZeroEntries(X));
1249:     PetscCall(PetscLogEventBegin(!ksp->transpose.solve_requested ? KSP_MatSolve : KSP_MatSolveTranspose, ksp, B, X, 0));
1250:     PetscCall(KSPGetMatSolveBatchSize(ksp, &Bbn));
1251:     /* by default, do a single solve with all columns */
1252:     if (Bbn == PETSC_DECIDE) Bbn = N2;
1253:     else PetscCheck(Bbn >= 1, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "KSPMatSolve() batch size %" PetscInt_FMT " must be positive", Bbn);
1254:     PetscCall(PetscInfo(ksp, "KSP type %s%s solving using batches of width at most %" PetscInt_FMT "\n", ((PetscObject)ksp)->type_name, ksp->transpose.solve_requested ? " transpose" : "", Bbn));
1255:     /* if -ksp_matsolve_batch_size is greater than the actual number of columns, do a single solve with all columns */
1256:     if (Bbn >= N2) {
1257:       /* reset the history lists (residual and error) if requested, as in KSPSolve_Private(), since KSPMatSolve() supports -ksp_converged_rate, which reads the residual history */
1258:       if (ksp->res_hist_reset) ksp->res_hist_len = 0;
1259:       if (ksp->err_hist_reset) ksp->err_hist_len = 0;
1260:       ksp->mat_rhs = B;
1261:       PetscUseTypeMethod(ksp, matsolve, B, X);
1262:       ksp->mat_rhs = NULL;
1263:       if (ksp->viewFinalRes) PetscCall(KSPViewFinalMatResidual_Internal(ksp, B, X, ksp->viewerFinalRes, ksp->formatFinalRes, 0));

1265:       PetscCall(KSPConvergedReasonViewFromOptions(ksp));

1267:       if (ksp->viewRate) {
1268:         PetscCall(PetscViewerPushFormat(ksp->viewerRate, PETSC_VIEWER_DEFAULT));
1269:         PetscCall(KSPConvergedRateView(ksp, ksp->viewerRate));
1270:         PetscCall(PetscViewerPopFormat(ksp->viewerRate));
1271:       }
1272:     } else {
1273:       for (n2 = 0; n2 < N2; n2 += Bbn) {
1274:         PetscCall(MatDenseGetSubMatrix(B, PETSC_DECIDE, PETSC_DECIDE, n2, PetscMin(n2 + Bbn, N2), &vB));
1275:         PetscCall(MatDenseGetSubMatrix(X, PETSC_DECIDE, PETSC_DECIDE, n2, PetscMin(n2 + Bbn, N2), &vX));
1276:         if (ksp->res_hist_reset) ksp->res_hist_len = 0;
1277:         if (ksp->err_hist_reset) ksp->err_hist_len = 0;
1278:         ksp->mat_rhs = vB;
1279:         PetscUseTypeMethod(ksp, matsolve, vB, vX);
1280:         ksp->mat_rhs = NULL;
1281:         if (ksp->viewFinalRes) PetscCall(KSPViewFinalMatResidual_Internal(ksp, vB, vX, ksp->viewerFinalRes, ksp->formatFinalRes, n2));

1283:         PetscCall(KSPConvergedReasonViewFromOptions(ksp));

1285:         if (ksp->viewRate) {
1286:           PetscCall(PetscViewerPushFormat(ksp->viewerRate, PETSC_VIEWER_DEFAULT));
1287:           PetscCall(KSPConvergedRateView(ksp, ksp->viewerRate));
1288:           PetscCall(PetscViewerPopFormat(ksp->viewerRate));
1289:         }
1290:         PetscCall(MatDenseRestoreSubMatrix(B, &vB));
1291:         PetscCall(MatDenseRestoreSubMatrix(X, &vX));
1292:         /* the state increase a failed solve does on the view is not propagated by the restore above, so it is redone on the whole block of solutions */
1293:         if (ksp->reason < 0) PetscCall(PetscObjectStateIncrease((PetscObject)X));
1294:       }
1295:     }
1296:     if (ksp->viewMat) PetscCall(ObjectView((PetscObject)A, ksp->viewerMat, ksp->formatMat));
1297:     if (ksp->viewPMat) PetscCall(ObjectView((PetscObject)P, ksp->viewerPMat, ksp->formatPMat));
1298:     if (ksp->viewRhs) PetscCall(ObjectView((PetscObject)B, ksp->viewerRhs, ksp->formatRhs));
1299:     if (ksp->viewSol) PetscCall(ObjectView((PetscObject)X, ksp->viewerSol, ksp->formatSol));
1300:     if (ksp->view) PetscCall(KSPView(ksp, ksp->viewer));
1301:     PetscCall(PetscLogEventEnd(!ksp->transpose.solve_requested ? KSP_MatSolve : KSP_MatSolveTranspose, ksp, B, X, 0));
1302:     if (ksp->errorifnotconverged && ksp->reason < 0 && (level == 1 || ksp->reason != KSP_DIVERGED_ITS)) {
1303:       PCFailedReason reason;

1305:       PetscCheck(ksp->reason == KSP_DIVERGED_PC_FAILED, PetscObjectComm((PetscObject)ksp), PETSC_ERR_NOT_CONVERGED, "KSPMatSolve%s() has not converged, reason %s", !ksp->transpose.solve_requested ? "" : "Transpose", KSPConvergedReasons[ksp->reason]);
1306:       PetscCall(PCGetFailedReason(ksp->pc, &reason));
1307:       SETERRQ(PetscObjectComm((PetscObject)ksp), PETSC_ERR_NOT_CONVERGED, "KSPMatSolve%s() has not converged, reason %s PC failed due to %s", !ksp->transpose.solve_requested ? "" : "Transpose", KSPConvergedReasons[ksp->reason], PCFailedReasons[reason]);
1308:     }
1309:     level--;
1310:   } else {
1311:     PetscCall(PetscInfo(ksp, "KSP type %s solving column by column\n", ((PetscObject)ksp)->type_name));
1312:     for (n2 = 0; n2 < N2; ++n2) {
1313:       PetscCall(MatDenseGetColumnVecRead(B, n2, &cb));
1314:       PetscCall(MatDenseGetColumnVecWrite(X, n2, &cx));
1315:       PetscCall(KSPSolve_Private(ksp, cb, cx));
1316:       PetscCall(MatDenseRestoreColumnVecWrite(X, n2, &cx));
1317:       PetscCall(MatDenseRestoreColumnVecRead(B, n2, &cb));
1318:     }
1319:   }
1320:   PetscFunctionReturn(PETSC_SUCCESS);
1321: }

1323: /*@
1324:   KSPMatSolve - Solves a linear system with multiple right-hand sides stored as a `MATDENSE`.

1326:   Input Parameters:
1327: + ksp - iterative solver
1328: - B   - block of right-hand sides

1330:   Output Parameter:
1331: . X - block of solutions

1333:   Level: intermediate

1335:   Notes:
1336:   This is a stripped-down version of `KSPSolve()`, which only handles `-ksp_view`, `-ksp_converged_reason`, `-ksp_converged_rate`, and `-ksp_view_final_residual`.

1338:   Unlike with `KSPSolve()`, `B` and `X` must be different matrices.

1340:   The columns of `B` are solved in batches of at most the size set with `KSPSetMatSolveBatchSize()`, which defaults to the whole block, and the `KSPType`
1341:   implementation is called once per batch.

1343:   As `KSPSolve()` does, this resets the residual and error history lists at the start of the solve, and at the start of each batch when `KSPSetMatSolveBatchSize()` is
1344:   used, unless `KSPSetResidualHistory()` or `KSPSetErrorHistory()` was called with `reset` set to `PETSC_FALSE`.

1346: .seealso: [](ch_ksp), `KSPSolve()`, `MatMatSolve()`, `KSPMatSolveTranspose()`, `MATDENSE`, `KSPHPDDM`, `KSPRICHARDSON`, `PCBJACOBI`, `PCASM`, `KSPSetMatSolveBatchSize()`
1347: @*/
1348: PetscErrorCode KSPMatSolve(KSP ksp, Mat B, Mat X)
1349: {
1350:   PetscFunctionBegin;
1354:   PetscCall(KSPRestoreExplicitTranspose_Private(ksp));
1355:   ksp->transpose_solve           = PETSC_FALSE;
1356:   ksp->transpose.solve_requested = PETSC_FALSE;
1357:   PetscCall(KSPMatSolve_Private(ksp, B, X));
1358:   PetscFunctionReturn(PETSC_SUCCESS);
1359: }

1361: /*@
1362:   KSPMatSolveTranspose - Solves a linear system with the transposed matrix with multiple right-hand sides stored as a `MATDENSE`.

1364:   Input Parameters:
1365: + ksp - iterative solver
1366: - B   - block of right-hand sides

1368:   Output Parameter:
1369: . X - block of solutions

1371:   Level: intermediate

1373:   Notes:
1374:   This is a stripped-down version of `KSPSolveTranspose()`, which only handles `-ksp_view`, `-ksp_converged_reason`, `-ksp_converged_rate`, and `-ksp_view_final_residual`.

1376:   Unlike `KSPSolveTranspose()`, `B` and `X` must be different matrices.

1378:   The columns of `B` are solved in batches of at most the size set with `KSPSetMatSolveBatchSize()`, which defaults to the whole block, and the `KSPType`
1379:   implementation is called once per batch.

1381:   As `KSPSolveTranspose()` does, this resets the residual and error history lists at the start of the solve, and at the start of each batch when
1382:   `KSPSetMatSolveBatchSize()` is used, unless `KSPSetResidualHistory()` or `KSPSetErrorHistory()` was called with `reset` set to `PETSC_FALSE`.

1384: .seealso: [](ch_ksp), `KSPSolveTranspose()`, `KSPSetUseExplicitTranspose()`, `MatMatTransposeSolve()`, `KSPMatSolve()`, `MATDENSE`, `KSPHPDDM`, `KSPRICHARDSON`, `PCBJACOBI`, `PCASM`
1385: @*/
1386: PetscErrorCode KSPMatSolveTranspose(KSP ksp, Mat B, Mat X)
1387: {
1388:   PetscFunctionBegin;
1392:   ksp->transpose.solve_requested = PETSC_TRUE;
1393:   if (ksp->transpose.use_explicittranspose) PetscCall(KSPUseExplicitTranspose_Private(ksp));
1394:   else ksp->transpose_solve = PETSC_TRUE;
1395:   PetscCall(KSPMatSolve_Private(ksp, B, X));
1396:   PetscFunctionReturn(PETSC_SUCCESS);
1397: }

1399: /*@
1400:   KSPSetMatSolveBatchSize - Sets the maximum number of columns treated simultaneously in `KSPMatSolve()`.

1402:   Logically Collective

1404:   Input Parameters:
1405: + ksp - the `KSP` iterative solver
1406: - bs  - batch size

1408:   Options Database Key:
1409: . -ksp_matsolve_batch_size bs - the maximum number of columns treated simultaneously

1411:   Level: advanced

1413:   Note:
1414:   `KSPMatSolve()` splits the columns of the block of right-hand sides into batches of at most `bs` columns and calls the `KSPType` implementation once per batch.
1415:   The default is to treat the whole block at once. Using a larger batch size can improve the solver's efficiency but requires more memory.

1417: .seealso: [](ch_ksp), `KSPMatSolve()`, `KSPMatSolveTranspose()`, `KSPGetMatSolveBatchSize()`, `-mat_mumps_icntl_27`, `-matproduct_batch_size`
1418: @*/
1419: PetscErrorCode KSPSetMatSolveBatchSize(KSP ksp, PetscInt bs)
1420: {
1421:   PetscFunctionBegin;
1424:   ksp->nmax = bs;
1425:   PetscFunctionReturn(PETSC_SUCCESS);
1426: }

1428: /*@
1429:   KSPGetMatSolveBatchSize - Gets the maximum number of columns treated simultaneously in `KSPMatSolve()`.

1431:   Input Parameter:
1432: . ksp - iterative solver context

1434:   Output Parameter:
1435: . bs - batch size

1437:   Level: advanced

1439:   Note:
1440:   `PETSC_DECIDE` means that `KSPMatSolve()` treats the whole block of right-hand sides at once.

1442: .seealso: [](ch_ksp), `KSPMatSolve()`, `KSPMatSolveTranspose()`, `KSPSetMatSolveBatchSize()`, `-mat_mumps_icntl_27`, `-matproduct_batch_size`
1443: @*/
1444: PetscErrorCode KSPGetMatSolveBatchSize(KSP ksp, PetscInt *bs)
1445: {
1446:   PetscFunctionBegin;
1448:   PetscAssertPointer(bs, 2);
1449:   *bs = ksp->nmax;
1450:   PetscFunctionReturn(PETSC_SUCCESS);
1451: }

1453: /*@
1454:   KSPResetViewers - Resets all the viewers set from the options database during `KSPSetFromOptions()`

1456:   Collective

1458:   Input Parameter:
1459: . ksp - the `KSP` iterative solver context obtained from `KSPCreate()`

1461:   Level: beginner

1463: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSetUp()`, `KSPSolve()`, `KSPSetFromOptions()`, `KSP`
1464: @*/
1465: PetscErrorCode KSPResetViewers(KSP ksp)
1466: {
1467:   PetscFunctionBegin;
1469:   if (!ksp) PetscFunctionReturn(PETSC_SUCCESS);
1470:   PetscCall(PetscViewerDestroy(&ksp->viewer));
1471:   PetscCall(PetscViewerDestroy(&ksp->viewerPre));
1472:   PetscCall(PetscViewerDestroy(&ksp->viewerRate));
1473:   PetscCall(PetscViewerDestroy(&ksp->viewerMat));
1474:   PetscCall(PetscViewerDestroy(&ksp->viewerPMat));
1475:   PetscCall(PetscViewerDestroy(&ksp->viewerRhs));
1476:   PetscCall(PetscViewerDestroy(&ksp->viewerSol));
1477:   PetscCall(PetscViewerDestroy(&ksp->viewerMatExp));
1478:   PetscCall(PetscViewerDestroy(&ksp->viewerEV));
1479:   PetscCall(PetscViewerDestroy(&ksp->viewerSV));
1480:   PetscCall(PetscViewerDestroy(&ksp->viewerEVExp));
1481:   PetscCall(PetscViewerDestroy(&ksp->viewerFinalRes));
1482:   PetscCall(PetscViewerDestroy(&ksp->viewerPOpExp));
1483:   ksp->view         = PETSC_FALSE;
1484:   ksp->viewPre      = PETSC_FALSE;
1485:   ksp->viewMat      = PETSC_FALSE;
1486:   ksp->viewPMat     = PETSC_FALSE;
1487:   ksp->viewRhs      = PETSC_FALSE;
1488:   ksp->viewSol      = PETSC_FALSE;
1489:   ksp->viewMatExp   = PETSC_FALSE;
1490:   ksp->viewEV       = PETSC_FALSE;
1491:   ksp->viewSV       = PETSC_FALSE;
1492:   ksp->viewEVExp    = PETSC_FALSE;
1493:   ksp->viewFinalRes = PETSC_FALSE;
1494:   ksp->viewPOpExp   = PETSC_FALSE;
1495:   PetscFunctionReturn(PETSC_SUCCESS);
1496: }

1498: /*@
1499:   KSPReset - Removes any allocated `Vec` and `Mat` from the `KSP` data structures.

1501:   Collective

1503:   Input Parameter:
1504: . ksp - iterative solver obtained from `KSPCreate()`

1506:   Level: intermediate

1508:   Notes:
1509:   Any options set in the `KSP`, including those set with `KSPSetFromOptions()` remain.

1511:   Call `KSPReset()` only before you call `KSPSetOperators()` with a different sized matrix than the previous matrix used with the `KSP`.

1513: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSetUp()`, `KSPSolve()`, `KSP`
1514: @*/
1515: PetscErrorCode KSPReset(KSP ksp)
1516: {
1517:   PetscFunctionBegin;
1519:   if (!ksp) PetscFunctionReturn(PETSC_SUCCESS);
1520:   PetscTryTypeMethod(ksp, reset);
1521:   if (ksp->pc) PetscCall(PCReset(ksp->pc));
1522:   if (ksp->guess) {
1523:     KSPGuess guess = ksp->guess;
1524:     PetscTryTypeMethod(guess, reset);
1525:   }
1526:   PetscCall(VecDestroyVecs(ksp->nwork, &ksp->work));
1527:   PetscCall(VecDestroy(&ksp->vec_rhs));
1528:   PetscCall(VecDestroy(&ksp->vec_sol));
1529:   PetscCall(KSPResetExplicitTranspose_Private(ksp));
1530:   PetscCall(MatStateInvalidate(ksp->amatstate));

1532:   ksp->mat_rhs    = NULL;
1533:   ksp->setupstage = KSP_SETUP_NEW;
1534:   ksp->nmax       = PETSC_DECIDE;
1535:   PetscFunctionReturn(PETSC_SUCCESS);
1536: }

1538: /*@
1539:   KSPDestroy - Destroys a `KSP` context.

1541:   Collective

1543:   Input Parameter:
1544: . ksp - iterative solver obtained from `KSPCreate()`

1546:   Level: beginner

1548: .seealso: [](ch_ksp), `KSPCreate()`, `KSPSetUp()`, `KSPSolve()`, `KSP`
1549: @*/
1550: PetscErrorCode KSPDestroy(KSP *ksp)
1551: {
1552:   PC pc;

1554:   PetscFunctionBegin;
1555:   if (!*ksp) PetscFunctionReturn(PETSC_SUCCESS);
1557:   if (--((PetscObject)*ksp)->refct > 0) {
1558:     *ksp = NULL;
1559:     PetscFunctionReturn(PETSC_SUCCESS);
1560:   }

1562:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*ksp));

1564:   /*
1565:    Avoid a cascading call to PCReset(ksp->pc) from the following call:
1566:    PCReset() shouldn't be called from KSPDestroy() as it is unprotected by pc's
1567:    refcount (and may be shared, e.g., by other ksps).
1568:    */
1569:   pc         = (*ksp)->pc;
1570:   (*ksp)->pc = NULL;
1571:   PetscCall(KSPReset(*ksp));
1572:   PetscCall(KSPResetViewers(*ksp));
1573:   (*ksp)->pc = pc;
1574:   PetscTryTypeMethod(*ksp, destroy);

1576:   PetscCall(KSPGuessDestroy(&(*ksp)->guess));
1577:   PetscCall(DMDestroy(&(*ksp)->dm));
1578:   PetscCall(PCDestroy(&(*ksp)->pc));
1579:   PetscCall(PetscFree((*ksp)->res_hist_alloc));
1580:   PetscCall(PetscFree((*ksp)->err_hist_alloc));
1581:   PetscCall(PetscFree((*ksp)->orthogwork));
1582:   if ((*ksp)->convergeddestroy) PetscCall((*(*ksp)->convergeddestroy)(&(*ksp)->cnvP));
1583:   PetscCall(KSPMonitorCancel(*ksp));
1584:   PetscCall(KSPConvergedReasonViewCancel(*ksp));
1585:   PetscCall(PetscHeaderDestroy(ksp));
1586:   PetscFunctionReturn(PETSC_SUCCESS);
1587: }

1589: /*@
1590:   KSPSetPCSide - Sets the preconditioning side.

1592:   Logically Collective

1594:   Input Parameter:
1595: . ksp - iterative solver obtained from `KSPCreate()`

1597:   Output Parameter:
1598: . side - the preconditioning side, where side is one of
1599: .vb
1600:   PC_LEFT      - left preconditioning (default)
1601:   PC_RIGHT     - right preconditioning
1602:   PC_SYMMETRIC - symmetric preconditioning
1603: .ve

1605:   Options Database Key:
1606: . -ksp_pc_side (right|left|symmetric) - `KSP` preconditioner side

1608:   Level: intermediate

1610:   Notes:
1611:   Left preconditioning is used by default for most Krylov methods except `KSPFGMRES` which only supports right preconditioning.

1613:   For methods changing the side of the preconditioner changes the norm type that is used, see `KSPSetNormType()`.

1615:   Symmetric preconditioning is currently available only for the `KSPQCG` method. However, note that
1616:   symmetric preconditioning can be emulated by using either right or left
1617:   preconditioning, modifying the application of the matrix (with a custom `Mat` argument to `KSPSetOperators()`,
1618:   and using a pre 'KSPSetPreSolve()` or post processing `KSPSetPostSolve()` step).

1620:   Setting the `PCSide` often affects the default norm type. See `KSPSetNormType()` for details.

1622: .seealso: [](ch_ksp), `KSPGetPCSide()`, `KSPSetNormType()`, `KSPGetNormType()`, `KSP`, `KSPSetPreSolve()`, `KSPSetPostSolve()`
1623: @*/
1624: PetscErrorCode KSPSetPCSide(KSP ksp, PCSide side)
1625: {
1626:   PetscFunctionBegin;
1629:   ksp->pc_side = ksp->pc_side_set = side;
1630:   PetscFunctionReturn(PETSC_SUCCESS);
1631: }

1633: /*@
1634:   KSPGetPCSide - Gets the preconditioning side.

1636:   Not Collective

1638:   Input Parameter:
1639: . ksp - iterative solver obtained from `KSPCreate()`

1641:   Output Parameter:
1642: . side - the preconditioning side, where side is one of
1643: .vb
1644:   PC_LEFT      - left preconditioning (default)
1645:   PC_RIGHT     - right preconditioning
1646:   PC_SYMMETRIC - symmetric preconditioning
1647: .ve

1649:   Level: intermediate

1651: .seealso: [](ch_ksp), `KSPSetPCSide()`, `KSP`
1652: @*/
1653: PetscErrorCode KSPGetPCSide(KSP ksp, PCSide *side)
1654: {
1655:   PetscFunctionBegin;
1657:   PetscAssertPointer(side, 2);
1658:   PetscCall(KSPSetUpNorms_Private(ksp, PETSC_TRUE, &ksp->normtype, &ksp->pc_side));
1659:   *side = ksp->pc_side;
1660:   PetscFunctionReturn(PETSC_SUCCESS);
1661: }

1663: /*@
1664:   KSPGetTolerances - Gets the relative, absolute, divergence, and maximum
1665:   iteration tolerances used by the default `KSP` convergence tests.

1667:   Not Collective

1669:   Input Parameter:
1670: . ksp - the Krylov subspace context

1672:   Output Parameters:
1673: + rtol   - the relative convergence tolerance
1674: . abstol - the absolute convergence tolerance
1675: . dtol   - the divergence tolerance
1676: - maxits - maximum number of iterations

1678:   Level: intermediate

1680:   Note:
1681:   The user can specify `NULL` for any parameter that is not needed.

1683: .seealso: [](ch_ksp), `KSPSetTolerances()`, `KSP`, `KSPSetMinimumIterations()`, `KSPGetMinimumIterations()`
1684: @*/
1685: PetscErrorCode KSPGetTolerances(KSP ksp, PeOp PetscReal *rtol, PeOp PetscReal *abstol, PeOp PetscReal *dtol, PeOp PetscInt *maxits)
1686: {
1687:   PetscFunctionBegin;
1689:   if (abstol) *abstol = ksp->abstol;
1690:   if (rtol) *rtol = ksp->rtol;
1691:   if (dtol) *dtol = ksp->divtol;
1692:   if (maxits) *maxits = ksp->max_it;
1693:   PetscFunctionReturn(PETSC_SUCCESS);
1694: }

1696: /*@
1697:   KSPSetTolerances - Sets the relative, absolute, divergence, and maximum
1698:   iteration tolerances used by the default `KSP` convergence testers.

1700:   Logically Collective

1702:   Input Parameters:
1703: + ksp    - the Krylov subspace context
1704: . rtol   - the relative convergence tolerance, relative decrease in the (possibly preconditioned) residual norm
1705: . abstol - the absolute convergence tolerance   absolute size of the (possibly preconditioned) residual norm
1706: . dtol   - the divergence tolerance,   amount (possibly preconditioned) residual norm can increase before `KSPConvergedDefault()` concludes that the method is diverging
1707: - maxits - maximum number of iterations to use

1709:   Options Database Keys:
1710: + -ksp_atol abstol   - Sets `abstol`
1711: . -ksp_rtol rtol     - Sets `rtol`
1712: . -ksp_divtol dtol   - Sets `dtol`
1713: - -ksp_max_it maxits - Sets `maxits`

1715:   Level: intermediate

1717:   Notes:
1718:   The tolerances are with respect to a norm of the residual of the equation $ \| b - A x^n \|$, they do not directly use the error of the equation.
1719:   The norm used depends on the `KSPNormType` that has been set with `KSPSetNormType()`, the default depends on the `KSPType` used.

1721:   All parameters must be non-negative.

1723:   Use `PETSC_CURRENT` to retain the current value of any of the parameters. The deprecated `PETSC_DEFAULT` also retains the current value (though the name is confusing).

1725:   Use `PETSC_DETERMINE` to use the default value for the given `KSP`. The default value is the value when the object's type is set.

1727:   For `dtol` and `maxits` use `PETSC_UNLIMITED` to indicate there is no upper bound on these values

1729:   See `KSPConvergedDefault()` for details how these parameters are used in the default convergence test.  See also `KSPSetConvergenceTest()`
1730:   for setting user-defined stopping criteria.

1732:   Fortran Note:
1733:   Use `PETSC_CURRENT_INTEGER`, `PETSC_CURRENT_REAL`, `PETSC_DETERMINE_INTEGER`, or `PETSC_DETERMINE_REAL`

1735: .seealso: [](ch_ksp), `KSPGetTolerances()`, `KSPConvergedDefault()`, `KSPSetConvergenceTest()`, `KSP`, `KSPSetMinimumIterations()`
1736: @*/
1737: PetscErrorCode KSPSetTolerances(KSP ksp, PetscReal rtol, PetscReal abstol, PetscReal dtol, PetscInt maxits)
1738: {
1739:   PetscFunctionBegin;

1746:   if (rtol == (PetscReal)PETSC_DETERMINE) {
1747:     ksp->rtol = ksp->default_rtol;
1748:   } else if (rtol != (PetscReal)PETSC_CURRENT) {
1749:     PetscCheck(rtol >= 0.0 && rtol < 1.0, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Relative tolerance %g must be non-negative and less than 1.0", (double)rtol);
1750:     ksp->rtol = rtol;
1751:   }
1752:   if (abstol == (PetscReal)PETSC_DETERMINE) {
1753:     ksp->abstol = ksp->default_abstol;
1754:   } else if (abstol != (PetscReal)PETSC_CURRENT) {
1755:     PetscCheck(abstol >= 0.0, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Absolute tolerance %g must be non-negative", (double)abstol);
1756:     ksp->abstol = abstol;
1757:   }
1758:   if (dtol == (PetscReal)PETSC_DETERMINE) {
1759:     ksp->divtol = ksp->default_divtol;
1760:   } else if (dtol == (PetscReal)PETSC_UNLIMITED) {
1761:     ksp->divtol = PETSC_MAX_REAL;
1762:   } else if (dtol != (PetscReal)PETSC_CURRENT) {
1763:     PetscCheck(dtol >= 0.0, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Divergence tolerance %g must be larger than 1.0", (double)dtol);
1764:     ksp->divtol = dtol;
1765:   }
1766:   if (maxits == PETSC_DETERMINE) {
1767:     ksp->max_it = ksp->default_max_it;
1768:   } else if (maxits == PETSC_UNLIMITED) {
1769:     ksp->max_it = PETSC_INT_MAX;
1770:   } else if (maxits != PETSC_CURRENT) {
1771:     PetscCheck(maxits >= 0, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Maximum number of iterations %" PetscInt_FMT " must be non-negative", maxits);
1772:     ksp->max_it = maxits;
1773:   }
1774:   PetscFunctionReturn(PETSC_SUCCESS);
1775: }

1777: /*@
1778:   KSPSetMinimumIterations - Sets the minimum number of iterations to use, regardless of the tolerances

1780:   Logically Collective

1782:   Input Parameters:
1783: + ksp   - the Krylov subspace context
1784: - minit - minimum number of iterations to use

1786:   Options Database Key:
1787: . -ksp_min_it minit - Sets `minit`

1789:   Level: intermediate

1791:   Notes:
1792:   Use `KSPSetTolerances()` to set a variety of other tolerances

1794:   See `KSPConvergedDefault()` for details on how these parameters are used in the default convergence test. See also `KSPSetConvergenceTest()`
1795:   for setting user-defined stopping criteria.

1797:   If the initial residual norm is small enough solvers may return immediately without computing any improvement to the solution. Using this routine
1798:   prevents that which usually ensures the solution is changed (often minimally) from the previous solution. This option may be used with ODE integrators
1799:   to ensure the integrator does not fall into a false steady-state solution of the ODE.

1801: .seealso: [](ch_ksp), `KSPGetTolerances()`, `KSPConvergedDefault()`, `KSPSetConvergenceTest()`, `KSP`, `KSPSetTolerances()`, `KSPGetMinimumIterations()`
1802: @*/
1803: PetscErrorCode KSPSetMinimumIterations(KSP ksp, PetscInt minit)
1804: {
1805:   PetscFunctionBegin;

1809:   PetscCheck(minit >= 0, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Minimum number of iterations %" PetscInt_FMT " must be non-negative", minit);
1810:   ksp->min_it = minit;
1811:   PetscFunctionReturn(PETSC_SUCCESS);
1812: }

1814: /*@
1815:   KSPGetMinimumIterations - Gets the minimum number of iterations to use, regardless of the tolerances, that was set with `KSPSetMinimumIterations()` or `-ksp_min_it`

1817:   Not Collective

1819:   Input Parameter:
1820: . ksp - the Krylov subspace context

1822:   Output Parameter:
1823: . minit - minimum number of iterations to use

1825:   Level: intermediate

1827: .seealso: [](ch_ksp), `KSPGetTolerances()`, `KSPConvergedDefault()`, `KSPSetConvergenceTest()`, `KSP`, `KSPSetTolerances()`, `KSPSetMinimumIterations()`
1828: @*/
1829: PetscErrorCode KSPGetMinimumIterations(KSP ksp, PetscInt *minit)
1830: {
1831:   PetscFunctionBegin;
1833:   PetscAssertPointer(minit, 2);

1835:   *minit = ksp->min_it;
1836:   PetscFunctionReturn(PETSC_SUCCESS);
1837: }

1839: /*@
1840:   KSPSetInitialGuessNonzero - Tells the iterative solver that the
1841:   initial guess is nonzero; otherwise `KSP` assumes the initial guess
1842:   is to be zero (and thus zeros it out before solving).

1844:   Logically Collective

1846:   Input Parameters:
1847: + ksp - iterative solver obtained from `KSPCreate()`
1848: - flg - ``PETSC_TRUE`` indicates the guess is non-zero, `PETSC_FALSE` indicates the guess is zero

1850:   Options Database Key:
1851: . -ksp_initial_guess_nonzero (true|false) - use nonzero initial guess

1853:   Level: beginner

1855: .seealso: [](ch_ksp), `KSPGetInitialGuessNonzero()`, `KSPGuessSetType()`, `KSPGuessType`, `KSP`
1856: @*/
1857: PetscErrorCode KSPSetInitialGuessNonzero(KSP ksp, PetscBool flg)
1858: {
1859:   PetscFunctionBegin;
1862:   ksp->guess_zero = (PetscBool)!flg;
1863:   PetscFunctionReturn(PETSC_SUCCESS);
1864: }

1866: /*@
1867:   KSPGetInitialGuessNonzero - Determines whether the `KSP` solver is using
1868:   a zero initial guess.

1870:   Not Collective

1872:   Input Parameter:
1873: . ksp - iterative solver obtained from `KSPCreate()`

1875:   Output Parameter:
1876: . flag - `PETSC_TRUE` if guess is nonzero, else `PETSC_FALSE`

1878:   Level: intermediate

1880: .seealso: [](ch_ksp), `KSPSetInitialGuessNonzero()`, `KSP`
1881: @*/
1882: PetscErrorCode KSPGetInitialGuessNonzero(KSP ksp, PetscBool *flag)
1883: {
1884:   PetscFunctionBegin;
1886:   PetscAssertPointer(flag, 2);
1887:   if (ksp->guess_zero) *flag = PETSC_FALSE;
1888:   else *flag = PETSC_TRUE;
1889:   PetscFunctionReturn(PETSC_SUCCESS);
1890: }

1892: /*@
1893:   KSPSetErrorIfNotConverged - Causes `KSPSolve()` to generate an error if the solver has not converged as soon as the error is detected.

1895:   Logically Collective

1897:   Input Parameters:
1898: + ksp - iterative solver obtained from `KSPCreate()`
1899: - flg - `PETSC_TRUE` indicates you want the error generated

1901:   Options Database Key:
1902: . -ksp_error_if_not_converged (true|false) - generate an error and stop the program

1904:   Level: intermediate

1906:   Notes:
1907:   Normally PETSc continues if a linear solver fails to converge, you can call `KSPGetConvergedReason()` after a `KSPSolve()`
1908:   to determine if it has converged. This functionality is mostly helpful while running in a debugger (`-start_in_debugger`) to determine exactly where
1909:   the failure occurs and why.

1911:   A `KSP_DIVERGED_ITS` will not generate an error in a `KSPSolve()` inside a nested linear solver

1913: .seealso: [](ch_ksp), `KSPGetErrorIfNotConverged()`, `KSP`
1914: @*/
1915: PetscErrorCode KSPSetErrorIfNotConverged(KSP ksp, PetscBool flg)
1916: {
1917:   PC pc;

1919:   PetscFunctionBegin;
1922:   ksp->errorifnotconverged = flg;
1923:   PetscCall(KSPGetPC(ksp, &pc));
1924:   PetscCall(PCSetErrorIfFailure(pc, flg));
1925:   PetscFunctionReturn(PETSC_SUCCESS);
1926: }

1928: /*@
1929:   KSPGetErrorIfNotConverged - Will `KSPSolve()` generate an error if the solver does not converge?

1931:   Not Collective

1933:   Input Parameter:
1934: . ksp - iterative solver obtained from KSPCreate()

1936:   Output Parameter:
1937: . flag - `PETSC_TRUE` if it will generate an error, else `PETSC_FALSE`

1939:   Level: intermediate

1941: .seealso: [](ch_ksp), `KSPSetErrorIfNotConverged()`, `KSP`
1942: @*/
1943: PetscErrorCode KSPGetErrorIfNotConverged(KSP ksp, PetscBool *flag)
1944: {
1945:   PetscFunctionBegin;
1947:   PetscAssertPointer(flag, 2);
1948:   *flag = ksp->errorifnotconverged;
1949:   PetscFunctionReturn(PETSC_SUCCESS);
1950: }

1952: /*@
1953:   KSPSetInitialGuessKnoll - Tells the iterative solver to use `PCApply()` on the right hand side vector to compute the initial guess (The Knoll trick)

1955:   Logically Collective

1957:   Input Parameters:
1958: + ksp - iterative solver obtained from `KSPCreate()`
1959: - flg - `PETSC_TRUE` or `PETSC_FALSE`

1961:   Level: advanced

1963:   Developer Note:
1964:   The Knoll trick is not currently implemented using the `KSPGuess` class which provides a variety of ways of computing
1965:   an initial guess based on previous solves.

1967: .seealso: [](ch_ksp), `KSPGetInitialGuessKnoll()`, `KSPGuess`, `KSPSetInitialGuessNonzero()`, `KSPGetInitialGuessNonzero()`, `KSP`
1968: @*/
1969: PetscErrorCode KSPSetInitialGuessKnoll(KSP ksp, PetscBool flg)
1970: {
1971:   PetscFunctionBegin;
1974:   ksp->guess_knoll = flg;
1975:   PetscFunctionReturn(PETSC_SUCCESS);
1976: }

1978: /*@
1979:   KSPGetInitialGuessKnoll - Determines whether the `KSP` solver is using the Knoll trick (using PCApply(pc,b,...) to compute
1980:   the initial guess

1982:   Not Collective

1984:   Input Parameter:
1985: . ksp - iterative solver obtained from `KSPCreate()`

1987:   Output Parameter:
1988: . flag - `PETSC_TRUE` if using Knoll trick, else `PETSC_FALSE`

1990:   Level: advanced

1992: .seealso: [](ch_ksp), `KSPSetInitialGuessKnoll()`, `KSPSetInitialGuessNonzero()`, `KSPGetInitialGuessNonzero()`, `KSP`
1993: @*/
1994: PetscErrorCode KSPGetInitialGuessKnoll(KSP ksp, PetscBool *flag)
1995: {
1996:   PetscFunctionBegin;
1998:   PetscAssertPointer(flag, 2);
1999:   *flag = ksp->guess_knoll;
2000:   PetscFunctionReturn(PETSC_SUCCESS);
2001: }

2003: /*@
2004:   KSPGetComputeSingularValues - Gets the flag indicating whether the extreme singular
2005:   values will be calculated via a Lanczos or Arnoldi process as the linear
2006:   system is solved.

2008:   Not Collective

2010:   Input Parameter:
2011: . ksp - iterative solver obtained from `KSPCreate()`

2013:   Output Parameter:
2014: . flg - `PETSC_TRUE` or `PETSC_FALSE`

2016:   Options Database Key:
2017: . -ksp_monitor_singular_value - Activates `KSPSetComputeSingularValues()`

2019:   Level: advanced

2021:   Notes:
2022:   This option is not valid for `KSPType`.

2024:   Many users may just want to use the monitoring routine
2025:   `KSPMonitorSingularValue()` (which can be set with option `-ksp_monitor_singular_value`)
2026:   to print the singular values at each iteration of the linear solve.

2028: .seealso: [](ch_ksp), `KSPComputeExtremeSingularValues()`, `KSPMonitorSingularValue()`, `KSP`
2029: @*/
2030: PetscErrorCode KSPGetComputeSingularValues(KSP ksp, PetscBool *flg)
2031: {
2032:   PetscFunctionBegin;
2034:   PetscAssertPointer(flg, 2);
2035:   *flg = ksp->calc_sings;
2036:   PetscFunctionReturn(PETSC_SUCCESS);
2037: }

2039: /*@
2040:   KSPSetComputeSingularValues - Sets a flag so that the extreme singular
2041:   values will be calculated via a Lanczos or Arnoldi process as the linear
2042:   system is solved.

2044:   Logically Collective

2046:   Input Parameters:
2047: + ksp - iterative solver obtained from `KSPCreate()`
2048: - flg - `PETSC_TRUE` or `PETSC_FALSE`

2050:   Options Database Key:
2051: . -ksp_monitor_singular_value - Activates `KSPSetComputeSingularValues()`

2053:   Level: advanced

2055:   Notes:
2056:   This option is not valid for all iterative methods.

2058:   Many users may just want to use the monitoring routine
2059:   `KSPMonitorSingularValue()` (which can be set with option `-ksp_monitor_singular_value`)
2060:   to print the singular values at each iteration of the linear solve.

2062:   Consider using the excellent package SLEPc for accurate efficient computations of singular or eigenvalues.

2064: .seealso: [](ch_ksp), `KSPComputeExtremeSingularValues()`, `KSPMonitorSingularValue()`, `KSP`, `KSPSetComputeRitz()`
2065: @*/
2066: PetscErrorCode KSPSetComputeSingularValues(KSP ksp, PetscBool flg)
2067: {
2068:   PetscFunctionBegin;
2071:   ksp->calc_sings = flg;
2072:   PetscFunctionReturn(PETSC_SUCCESS);
2073: }

2075: /*@
2076:   KSPGetComputeEigenvalues - Gets the flag indicating that the extreme eigenvalues
2077:   values will be calculated via a Lanczos or Arnoldi process as the linear
2078:   system is solved.

2080:   Not Collective

2082:   Input Parameter:
2083: . ksp - iterative solver obtained from `KSPCreate()`

2085:   Output Parameter:
2086: . flg - `PETSC_TRUE` or `PETSC_FALSE`

2088:   Level: advanced

2090:   Note:
2091:   Currently this option is not valid for all iterative methods.

2093: .seealso: [](ch_ksp), `KSPComputeEigenvalues()`, `KSPComputeEigenvaluesExplicitly()`, `KSP`, `KSPSetComputeRitz()`
2094: @*/
2095: PetscErrorCode KSPGetComputeEigenvalues(KSP ksp, PetscBool *flg)
2096: {
2097:   PetscFunctionBegin;
2099:   PetscAssertPointer(flg, 2);
2100:   *flg = ksp->calc_sings;
2101:   PetscFunctionReturn(PETSC_SUCCESS);
2102: }

2104: /*@
2105:   KSPSetComputeEigenvalues - Sets a flag so that the extreme eigenvalues
2106:   values will be calculated via a Lanczos or Arnoldi process as the linear
2107:   system is solved.

2109:   Logically Collective

2111:   Input Parameters:
2112: + ksp - iterative solver obtained from `KSPCreate()`
2113: - flg - `PETSC_TRUE` or `PETSC_FALSE`

2115:   Level: advanced

2117:   Note:
2118:   Currently this option is not valid for all iterative methods.

2120:   Consider using the excellent package SLEPc for accurate efficient computations of singular or eigenvalues.

2122: .seealso: [](ch_ksp), `KSPComputeEigenvalues()`, `KSPComputeEigenvaluesExplicitly()`, `KSP`, `KSPSetComputeRitz()`
2123: @*/
2124: PetscErrorCode KSPSetComputeEigenvalues(KSP ksp, PetscBool flg)
2125: {
2126:   PetscFunctionBegin;
2129:   ksp->calc_sings = flg;
2130:   PetscFunctionReturn(PETSC_SUCCESS);
2131: }

2133: /*@
2134:   KSPSetComputeRitz - Sets a flag so that the Ritz or harmonic Ritz pairs
2135:   will be calculated via a Lanczos or Arnoldi process as the linear
2136:   system is solved.

2138:   Logically Collective

2140:   Input Parameters:
2141: + ksp - iterative solver obtained from `KSPCreate()`
2142: - flg - `PETSC_TRUE` or `PETSC_FALSE`

2144:   Level: advanced

2146:   Note:
2147:   Currently this option is only valid for the `KSPGMRES` method.

2149: .seealso: [](ch_ksp), `KSPComputeRitz()`, `KSP`, `KSPComputeEigenvalues()`, `KSPComputeExtremeSingularValues()`
2150: @*/
2151: PetscErrorCode KSPSetComputeRitz(KSP ksp, PetscBool flg)
2152: {
2153:   PetscFunctionBegin;
2156:   ksp->calc_ritz = flg;
2157:   PetscFunctionReturn(PETSC_SUCCESS);
2158: }

2160: /*@
2161:   KSPGetRhs - Gets the right-hand-side vector for the linear system to
2162:   be solved.

2164:   Not Collective

2166:   Input Parameter:
2167: . ksp - iterative solver obtained from `KSPCreate()`

2169:   Output Parameter:
2170: . r - right-hand-side vector

2172:   Level: developer

2174: .seealso: [](ch_ksp), `KSPGetSolution()`, `KSPSolve()`, `KSP`
2175: @*/
2176: PetscErrorCode KSPGetRhs(KSP ksp, Vec *r)
2177: {
2178:   PetscFunctionBegin;
2180:   PetscAssertPointer(r, 2);
2181:   *r = ksp->vec_rhs;
2182:   PetscFunctionReturn(PETSC_SUCCESS);
2183: }

2185: /*@
2186:   KSPGetSolution - Gets the location of the solution for the
2187:   linear system to be solved.

2189:   Not Collective

2191:   Input Parameter:
2192: . ksp - iterative solver obtained from `KSPCreate()`

2194:   Output Parameter:
2195: . v - solution vector

2197:   Level: developer

2199:   Note:
2200:   If this is called during a `KSPSolve()` the vector's values may not represent the solution
2201:   to the linear system.

2203: .seealso: [](ch_ksp), `KSPGetRhs()`, `KSPBuildSolution()`, `KSPSolve()`, `KSP`
2204: @*/
2205: PetscErrorCode KSPGetSolution(KSP ksp, Vec *v)
2206: {
2207:   PetscFunctionBegin;
2209:   PetscAssertPointer(v, 2);
2210:   *v = ksp->vec_sol;
2211:   PetscFunctionReturn(PETSC_SUCCESS);
2212: }

2214: /*@
2215:   KSPSetPC - Sets the preconditioner to be used to calculate the
2216:   application of the preconditioner on a vector into a `KSP`.

2218:   Collective

2220:   Input Parameters:
2221: + ksp - the `KSP` iterative solver obtained from `KSPCreate()`
2222: - pc  - the preconditioner object (if `NULL` it returns the `PC` currently held by the `KSP`)

2224:   Level: developer

2226:   Note:
2227:   This routine is almost never used since `KSP` creates its own `PC` when needed.
2228:   Use `KSPGetPC()` to retrieve the preconditioner context instead of creating a new one.

2230: .seealso: [](ch_ksp), `KSPGetPC()`, `KSP`
2231: @*/
2232: PetscErrorCode KSPSetPC(KSP ksp, PC pc)
2233: {
2234:   PetscFunctionBegin;
2236:   if (pc) {
2238:     PetscCheckSameComm(ksp, 1, pc, 2);
2239:   }
2240:   if (ksp->pc != pc && ksp->setupstage) ksp->setupstage = KSP_SETUP_NEWMATRIX;
2241:   PetscCall(PetscObjectReference((PetscObject)pc));
2242:   PetscCall(PCDestroy(&ksp->pc));
2243:   ksp->pc = pc;
2244:   PetscFunctionReturn(PETSC_SUCCESS);
2245: }

2247: PETSC_INTERN PetscErrorCode PCCreate_MPI(PC);

2249: // PetscClangLinter pragma disable: -fdoc-internal-linkage
2250: /*@
2251:   KSPCheckPCMPI - Checks if `-mpi_linear_solver_server` is active and the `PC` should be changed to `PCMPI`

2253:   Collective, No Fortran Support

2255:   Input Parameter:
2256: . ksp - iterative solver obtained from `KSPCreate()`

2258:   Level: developer

2260: .seealso: [](ch_ksp), `KSPSetPC()`, `KSP`, `PCMPIServerBegin()`, `PCMPIServerEnd()`
2261: @*/
2262: PETSC_INTERN PetscErrorCode KSPCheckPCMPI(KSP ksp)
2263: {
2264:   PetscBool isPCMPI;

2266:   PetscFunctionBegin;
2268:   PetscCall(PetscObjectTypeCompare((PetscObject)ksp->pc, PCMPI, &isPCMPI));
2269:   if (PCMPIServerActive && ksp->nestlevel == 0 && !isPCMPI) {
2270:     const char *prefix;
2271:     char       *found = NULL;

2273:     PetscCall(KSPGetOptionsPrefix(ksp, &prefix));
2274:     if (prefix) PetscCall(PetscStrstr(prefix, "mpi_linear_solver_server_", &found));
2275:     if (!found) PetscCall(KSPAppendOptionsPrefix(ksp, "mpi_linear_solver_server_"));
2276:     PetscCall(PetscInfo(NULL, "In MPI Linear Solver Server and detected (root) PC that must be changed to PCMPI\n"));
2277:     PetscCall(PCSetType(ksp->pc, PCMPI));
2278:   }
2279:   PetscFunctionReturn(PETSC_SUCCESS);
2280: }

2282: /*@
2283:   KSPGetPC - Returns a pointer to the preconditioner context with the `KSP`

2285:   Not Collective

2287:   Input Parameter:
2288: . ksp - iterative solver obtained from `KSPCreate()`

2290:   Output Parameter:
2291: . pc - preconditioner context

2293:   Level: beginner

2295:   Note:
2296:   The `PC` is created if it does not already exist.

2298:   Developer Note:
2299:   Calls `KSPCheckPCMPI()` to check if the `KSP` is effected by `-mpi_linear_solver_server`

2301: .seealso: [](ch_ksp), `KSPSetPC()`, `KSP`, `PC`
2302: @*/
2303: PetscErrorCode KSPGetPC(KSP ksp, PC *pc)
2304: {
2305:   PetscFunctionBegin;
2307:   PetscAssertPointer(pc, 2);
2308:   if (!ksp->pc) {
2309:     PetscCall(PCCreate(PetscObjectComm((PetscObject)ksp), &ksp->pc));
2310:     PetscCall(PetscObjectIncrementTabLevel((PetscObject)ksp->pc, (PetscObject)ksp, 0));
2311:     PetscCall(PetscObjectSetOptions((PetscObject)ksp->pc, ((PetscObject)ksp)->options));
2312:     PetscCall(PCSetKSPNestLevel(ksp->pc, ksp->nestlevel));
2313:     PetscCall(PCSetErrorIfFailure(ksp->pc, ksp->errorifnotconverged));
2314:     if (ksp->dm) PetscCall(PCSetDM(ksp->pc, ksp->dm));
2315:   }
2316:   PetscCall(KSPCheckPCMPI(ksp));
2317:   *pc = ksp->pc;
2318:   PetscFunctionReturn(PETSC_SUCCESS);
2319: }

2321: /*@
2322:   KSPMonitor - runs the user provided monitor routines, if they exist

2324:   Collective

2326:   Input Parameters:
2327: + ksp   - iterative solver obtained from `KSPCreate()`
2328: . it    - iteration number
2329: - rnorm - relative norm of the residual

2331:   Level: developer

2333:   Notes:
2334:   This routine is called by the `KSP` implementations.
2335:   It does not typically need to be called by the user.

2337:   For Krylov methods that do not keep a running value of the current solution (such as `KSPGMRES`) this
2338:   cannot be called after the `KSPConvergedReason` has been set but before the final solution has been computed.

2340: .seealso: [](ch_ksp), `KSPMonitorSet()`
2341: @*/
2342: PetscErrorCode KSPMonitor(KSP ksp, PetscInt it, PetscReal rnorm)
2343: {
2344:   PetscInt i, n = ksp->numbermonitors;

2346:   PetscFunctionBegin;
2347:   for (i = 0; i < n; i++) PetscCall((*ksp->monitor[i])(ksp, it, rnorm, ksp->monitorcontext[i]));
2348:   PetscFunctionReturn(PETSC_SUCCESS);
2349: }

2351: /*@
2352:   KSPMonitorSet - Sets an ADDITIONAL function to be called at every iteration to monitor, i.e. display in some way, perhaps by printing in the terminal,
2353:   the residual norm computed in a `KSPSolve()`

2355:   Logically Collective

2357:   Input Parameters:
2358: + ksp            - iterative solver obtained from `KSPCreate()`
2359: . monitor        - pointer to function (if this is `NULL`, it turns off monitoring, see `KSPMonitorFn`
2360: . ctx            - [optional] context for private data for the monitor routine (use `NULL` if no context is needed)
2361: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

2363:   Options Database Keys:
2364: + -ksp_monitor                             - sets `KSPMonitorResidual()`
2365: . -ksp_monitor hdf5:filename               - sets `KSPMonitorResidualView()` and saves residual
2366: . -ksp_monitor draw                        - sets `KSPMonitorResidualView()` and plots residual
2367: . -ksp_monitor draw::draw_lg               - sets `KSPMonitorResidualDrawLG()` and plots residual
2368: . -ksp_monitor_pause_final                 - Pauses any graphics when the solve finishes (only works for internal monitors)
2369: . -ksp_monitor_true_residual               - sets `KSPMonitorTrueResidual()`
2370: . -ksp_monitor_true_residual draw::draw_lg - sets `KSPMonitorTrueResidualDrawLG()` and plots residual
2371: . -ksp_monitor_max                         - sets `KSPMonitorTrueResidualMax()`
2372: . -ksp_monitor_singular_value              - sets `KSPMonitorSingularValue()`
2373: - -ksp_monitor_cancel                      - cancels all monitors that have been hardwired into a code by calls to `KSPMonitorSet()`, but
2374:                                              does not cancel those set via the options database.

2376:   Level: beginner

2378:   Notes:
2379:   The options database option `-ksp_monitor` and related options are the easiest way to turn on `KSP` iteration monitoring

2381:   `KSPMonitorRegister()` provides a way to associate an options database key with `KSP` monitor function.

2383:   The default is to do no monitoring.  To print the residual, or preconditioned
2384:   residual if `KSPSetNormType`(ksp,`KSP_NORM_PRECONDITIONED`) was called, use
2385:   `KSPMonitorResidual()` as the monitoring routine, with a `PETSCVIEWERASCII` as the
2386:   context.

2388:   Several different monitoring routines may be set by calling
2389:   `KSPMonitorSet()` multiple times; they will be called in the
2390:   order in which they were set.

2392:   Fortran Note:
2393:   Only a single monitor function can be set for each `KSP` object

2395: .seealso: [](ch_ksp), `KSPMonitorResidual()`, `KSPMonitorRegister()`, `KSPMonitorCancel()`, `KSP`, `PetscCtxDestroyFn`
2396: @*/
2397: PetscErrorCode KSPMonitorSet(KSP ksp, KSPMonitorFn *monitor, PetscCtx ctx, PetscCtxDestroyFn *monitordestroy)
2398: {
2399:   PetscFunctionBegin;
2401:   for (PetscInt i = 0; i < ksp->numbermonitors; i++) {
2402:     PetscBool identical;

2404:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)monitor, ctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)ksp->monitor[i], ksp->monitorcontext[i], ksp->monitordestroy[i], &identical));
2405:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
2406:   }
2407:   PetscCheck(ksp->numbermonitors < MAXKSPMONITORS, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_OUTOFRANGE, "Too many KSP monitors set");
2408:   ksp->monitor[ksp->numbermonitors]          = monitor;
2409:   ksp->monitordestroy[ksp->numbermonitors]   = monitordestroy;
2410:   ksp->monitorcontext[ksp->numbermonitors++] = ctx;
2411:   PetscFunctionReturn(PETSC_SUCCESS);
2412: }

2414: /*@
2415:   KSPMonitorCancel - Clears all monitors for a `KSP` object.

2417:   Logically Collective

2419:   Input Parameter:
2420: . ksp - iterative solver obtained from `KSPCreate()`

2422:   Options Database Key:
2423: . -ksp_monitor_cancel - Cancels all monitors that have been hardwired into a code by calls to `KSPMonitorSet()`, but does not cancel those set via the options database.

2425:   Level: intermediate

2427: .seealso: [](ch_ksp), `KSPMonitorResidual()`, `KSPMonitorSet()`, `KSP`
2428: @*/
2429: PetscErrorCode KSPMonitorCancel(KSP ksp)
2430: {
2431:   PetscFunctionBegin;
2433:   for (PetscInt i = 0; i < ksp->numbermonitors; i++) {
2434:     if (ksp->monitordestroy[i]) PetscCall((*ksp->monitordestroy[i])(&ksp->monitorcontext[i]));
2435:   }
2436:   ksp->numbermonitors = 0;
2437:   PetscFunctionReturn(PETSC_SUCCESS);
2438: }

2440: /*@
2441:   KSPGetMonitorContext - Gets the monitoring context, as set by `KSPMonitorSet()` for the FIRST monitor only.

2443:   Not Collective

2445:   Input Parameter:
2446: . ksp - iterative solver obtained from `KSPCreate()`

2448:   Output Parameter:
2449: . ctx - monitoring context

2451:   Level: intermediate

2453:   Fortran Notes:
2454:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
2455: .vb
2456:   type(tUsertype), pointer :: ctx
2457: .ve

2459: .seealso: [](ch_ksp), `KSPMonitorResidual()`, `KSP`
2460: @*/
2461: PetscErrorCode KSPGetMonitorContext(KSP ksp, PetscCtxRt ctx)
2462: {
2463:   PetscFunctionBegin;
2465:   *(void **)ctx = ksp->monitorcontext[0];
2466:   PetscFunctionReturn(PETSC_SUCCESS);
2467: }

2469: /*@
2470:   KSPSetResidualHistory - Sets the array used to hold the residual history.
2471:   If set, this array will contain the residual norms computed at each
2472:   iteration of the solver.

2474:   Not Collective

2476:   Input Parameters:
2477: + ksp   - iterative solver obtained from `KSPCreate()`
2478: . a     - array to hold history
2479: . na    - size of `a`
2480: - reset - `PETSC_TRUE` indicates the history counter is reset to zero
2481:            for each new linear solve

2483:   Level: advanced

2485:   Notes:
2486:   If provided, `a` is NOT freed by PETSc so the user needs to keep track of it and destroy once the `KSP` object is destroyed.
2487:   If `a` is `NULL` then space is allocated for the history. If `na` is `PETSC_DECIDE` or (deprecated) `PETSC_DEFAULT` then a
2488:   default array of length 10,000 is allocated.

2490:   If the array is not long enough then once the iterations is longer than the array length `KSPSolve()` stops recording the history

2492: .seealso: [](ch_ksp), `KSPGetResidualHistory()`, `KSP`
2493: @*/
2494: PetscErrorCode KSPSetResidualHistory(KSP ksp, PetscReal a[], PetscCount na, PetscBool reset)
2495: {
2496:   PetscFunctionBegin;

2499:   PetscCall(PetscFree(ksp->res_hist_alloc));
2500:   if (na != PETSC_DECIDE && na != PETSC_DEFAULT && a) {
2501:     ksp->res_hist     = a;
2502:     ksp->res_hist_max = na;
2503:   } else {
2504:     if (na != PETSC_DECIDE && na != PETSC_DEFAULT) ksp->res_hist_max = (size_t)na;
2505:     else ksp->res_hist_max = 10000; /* like default ksp->max_it */
2506:     PetscCall(PetscCalloc1(ksp->res_hist_max, &ksp->res_hist_alloc));

2508:     ksp->res_hist = ksp->res_hist_alloc;
2509:   }
2510:   ksp->res_hist_len   = 0;
2511:   ksp->res_hist_reset = reset;
2512:   PetscFunctionReturn(PETSC_SUCCESS);
2513: }

2515: /*@
2516:   KSPGetResidualHistory - Gets the array used to hold the residual history and the number of residuals it contains.

2518:   Not Collective

2520:   Input Parameter:
2521: . ksp - iterative solver obtained from `KSPCreate()`

2523:   Output Parameters:
2524: + a  - pointer to array to hold history (or `NULL`)
2525: - na - number of used entries in a (or `NULL`). Note this has different meanings depending on the `reset` argument to `KSPSetResidualHistory()`

2527:   Level: advanced

2529:   Note:
2530:   This array is borrowed and should not be freed by the caller.

2532:   Can only be called after a `KSPSetResidualHistory()` otherwise `a` and `na` are set to `NULL` and zero

2534:   When `reset` was `PETSC_TRUE` since a residual is computed before the first iteration, the value of `na` is generally one more than the value
2535:   returned with `KSPGetIterationNumber()`.

2537:   Some Krylov methods may not compute the final residual norm when convergence is declared because the maximum number of iterations allowed has been reached.
2538:   In this situation, when `reset` was `PETSC_TRUE`, `na` will then equal the number of iterations reported with `KSPGetIterationNumber()`

2540:   Some Krylov methods (such as `KSPSTCG`), under certain circumstances, do not compute the final residual norm. In this situation, when `reset` was `PETSC_TRUE`,
2541:   `na` will then equal the number of iterations reported with `KSPGetIterationNumber()`

2543:   `KSPBCGSL` does not record the residual norms for the "subiterations" hence the results from `KSPGetResidualHistory()` and `KSPGetIterationNumber()` will be different

2545:   Fortran Note:
2546:   Call `KSPRestoreResidualHistory()` when access to the history is no longer needed.

2548: .seealso: [](ch_ksp), `KSPSetResidualHistory()`, `KSP`, `KSPGetIterationNumber()`, `KSPSTCG`, `KSPBCGSL`
2549: @*/
2550: PetscErrorCode KSPGetResidualHistory(KSP ksp, const PetscReal *a[], PetscInt *na)
2551: {
2552:   PetscFunctionBegin;
2554:   if (a) *a = ksp->res_hist;
2555:   if (na) PetscCall(PetscIntCast(ksp->res_hist_len, na));
2556:   PetscFunctionReturn(PETSC_SUCCESS);
2557: }

2559: /*@
2560:   KSPSetErrorHistory - Sets the array used to hold the error history. If set, this array will contain the error norms computed at each iteration of the solver.

2562:   Not Collective

2564:   Input Parameters:
2565: + ksp   - iterative solver obtained from `KSPCreate()`
2566: . a     - array to hold history
2567: . na    - size of `a`
2568: - reset - `PETSC_TRUE` indicates the history counter is reset to zero for each new linear solve

2570:   Level: advanced

2572:   Notes:
2573:   If provided, `a` is NOT freed by PETSc so the user needs to keep track of it and destroy once the `KSP` object is destroyed.
2574:   If `a` is `NULL` then space is allocated for the history. If `na` is `PETSC_DECIDE` or (deprecated) `PETSC_DEFAULT` then a default array of length 1,0000 is allocated.

2576:   If the array is not long enough then once the iterations is longer than the array length `KSPSolve()` stops recording the history

2578: .seealso: [](ch_ksp), `KSPGetErrorHistory()`, `KSPSetResidualHistory()`, `KSP`
2579: @*/
2580: PetscErrorCode KSPSetErrorHistory(KSP ksp, PetscReal a[], PetscCount na, PetscBool reset)
2581: {
2582:   PetscFunctionBegin;

2585:   PetscCall(PetscFree(ksp->err_hist_alloc));
2586:   if (na != PETSC_DECIDE && na != PETSC_DEFAULT && a) {
2587:     ksp->err_hist     = a;
2588:     ksp->err_hist_max = na;
2589:   } else {
2590:     if (na != PETSC_DECIDE && na != PETSC_DEFAULT) ksp->err_hist_max = (size_t)na;
2591:     else ksp->err_hist_max = 10000; /* like default ksp->max_it */
2592:     PetscCall(PetscCalloc1(ksp->err_hist_max, &ksp->err_hist_alloc));
2593:     ksp->err_hist = ksp->err_hist_alloc;
2594:   }
2595:   ksp->err_hist_len   = 0;
2596:   ksp->err_hist_reset = reset;
2597:   PetscFunctionReturn(PETSC_SUCCESS);
2598: }

2600: /*@
2601:   KSPGetErrorHistory - Gets the array used to hold the error history and the number of residuals it contains.

2603:   Not Collective

2605:   Input Parameter:
2606: . ksp - iterative solver obtained from `KSPCreate()`

2608:   Output Parameters:
2609: + a  - pointer to array to hold history (or `NULL`)
2610: - na - number of used entries in a (or `NULL`)

2612:   Level: advanced

2614:   Note:
2615:   This array is borrowed and should not be freed by the caller.
2616:   Can only be called after a `KSPSetErrorHistory()` otherwise `a` and `na` are set to `NULL` and zero

2618:   Fortran Note:
2619: .vb
2620:   PetscReal, pointer :: a(:)
2621: .ve

2623: .seealso: [](ch_ksp), `KSPSetErrorHistory()`, `KSPGetResidualHistory()`, `KSP`
2624: @*/
2625: PetscErrorCode KSPGetErrorHistory(KSP ksp, const PetscReal *a[], PetscInt *na)
2626: {
2627:   PetscFunctionBegin;
2629:   if (a) *a = ksp->err_hist;
2630:   if (na) PetscCall(PetscIntCast(ksp->err_hist_len, na));
2631:   PetscFunctionReturn(PETSC_SUCCESS);
2632: }

2634: /*@
2635:   KSPComputeConvergenceRate - Compute the convergence rate for the iteration <https:/en.wikipedia.org/wiki/Coefficient_of_determination>

2637:   Not Collective

2639:   Input Parameter:
2640: . ksp - The `KSP`

2642:   Output Parameters:
2643: + cr   - The residual contraction rate
2644: . rRsq - The coefficient of determination, $R^2$, indicating the linearity of the data
2645: . ce   - The error contraction rate
2646: - eRsq - The coefficient of determination, $R^2$, indicating the linearity of the data

2648:   Level: advanced

2650:   Note:
2651:   Suppose that the residual is reduced linearly, $r_k = c^k r_0$, which means $log r_k = log r_0 + k log c$. After linear regression,
2652:   the slope is $\log c$. The coefficient of determination is given by $1 - \frac{\sum_i (y_i - f(x_i))^2}{\sum_i (y_i - \bar y)}$,

2654: .seealso: [](ch_ksp), `KSP`, `KSPConvergedRateView()`
2655: @*/
2656: PetscErrorCode KSPComputeConvergenceRate(KSP ksp, PetscReal *cr, PetscReal *rRsq, PetscReal *ce, PetscReal *eRsq)
2657: {
2658:   PetscReal const *hist;
2659:   PetscReal       *x, *y, slope, intercept, mean = 0.0, var = 0.0, res = 0.0;
2660:   PetscInt         n;

2662:   PetscFunctionBegin;
2663:   if (cr || rRsq) {
2664:     PetscCall(KSPGetResidualHistory(ksp, &hist, &n));
2665:     if (!n) {
2666:       if (cr) *cr = 0.0;
2667:       if (rRsq) *rRsq = -1.0;
2668:     } else {
2669:       PetscCall(PetscMalloc2(n, &x, n, &y));
2670:       for (PetscInt k = 0; k < n; ++k) {
2671:         x[k] = k;
2672:         y[k] = PetscLogReal(hist[k]);
2673:         mean += y[k];
2674:       }
2675:       mean /= n;
2676:       PetscCall(PetscLinearRegression(n, x, y, &slope, &intercept));
2677:       for (PetscInt k = 0; k < n; ++k) {
2678:         res += PetscSqr(y[k] - (slope * x[k] + intercept));
2679:         var += PetscSqr(y[k] - mean);
2680:       }
2681:       PetscCall(PetscFree2(x, y));
2682:       if (cr) *cr = PetscExpReal(slope);
2683:       if (rRsq) *rRsq = var < PETSC_MACHINE_EPSILON ? 0.0 : 1.0 - (res / var);
2684:     }
2685:   }
2686:   if (ce || eRsq) {
2687:     PetscCall(KSPGetErrorHistory(ksp, &hist, &n));
2688:     if (!n) {
2689:       if (ce) *ce = 0.0;
2690:       if (eRsq) *eRsq = -1.0;
2691:     } else {
2692:       PetscCall(PetscMalloc2(n, &x, n, &y));
2693:       for (PetscInt k = 0; k < n; ++k) {
2694:         x[k] = k;
2695:         y[k] = PetscLogReal(hist[k]);
2696:         mean += y[k];
2697:       }
2698:       mean /= n;
2699:       PetscCall(PetscLinearRegression(n, x, y, &slope, &intercept));
2700:       for (PetscInt k = 0; k < n; ++k) {
2701:         res += PetscSqr(y[k] - (slope * x[k] + intercept));
2702:         var += PetscSqr(y[k] - mean);
2703:       }
2704:       PetscCall(PetscFree2(x, y));
2705:       if (ce) *ce = PetscExpReal(slope);
2706:       if (eRsq) *eRsq = var < PETSC_MACHINE_EPSILON ? 0.0 : 1.0 - (res / var);
2707:     }
2708:   }
2709:   PetscFunctionReturn(PETSC_SUCCESS);
2710: }

2712: /*@
2713:   KSPSetConvergenceTest - Sets the function to be used to determine convergence of `KSPSolve()`

2715:   Logically Collective

2717:   Input Parameters:
2718: + ksp      - iterative solver obtained from `KSPCreate()`
2719: . converge - pointer to the function, see `KSPConvergenceTestFn`
2720: . ctx      - context for private data for the convergence routine (may be `NULL`)
2721: - destroy  - a routine for destroying the context (may be `NULL`)

2723:   Level: advanced

2725:   Notes:
2726:   Must be called after the `KSP` type has been set so put this after
2727:   a call to `KSPSetType()`, or `KSPSetFromOptions()`.

2729:   The default convergence test, `KSPConvergedDefault()`, aborts if the
2730:   residual grows to more than 10000 times the initial residual.

2732:   The default is a combination of relative and absolute tolerances.
2733:   The residual value that is tested may be an approximation; routines
2734:   that need exact values should compute them.

2736:   In the default PETSc convergence test, the precise values of reason
2737:   are macros such as `KSP_CONVERGED_RTOL`, which are defined in petscksp.h.

2739: .seealso: [](ch_ksp), `KSP`, `KSPConvergenceTestFn`, `KSPConvergedDefault()`, `KSPGetConvergenceContext()`, `KSPSetTolerances()`, `KSPGetConvergenceTest()`, `KSPGetAndClearConvergenceTest()`
2740: @*/
2741: PetscErrorCode KSPSetConvergenceTest(KSP ksp, KSPConvergenceTestFn *converge, PetscCtx ctx, PetscCtxDestroyFn *destroy)
2742: {
2743:   PetscFunctionBegin;
2745:   if (ksp->convergeddestroy) PetscCall((*ksp->convergeddestroy)(&ksp->cnvP));
2746:   ksp->converged        = converge;
2747:   ksp->convergeddestroy = destroy;
2748:   ksp->cnvP             = ctx;
2749:   PetscFunctionReturn(PETSC_SUCCESS);
2750: }

2752: /*@
2753:   KSPGetConvergenceTest - Gets the function to be used to determine convergence.

2755:   Logically Collective

2757:   Input Parameter:
2758: . ksp - iterative solver obtained from `KSPCreate()`

2760:   Output Parameters:
2761: + converge - pointer to convergence test function, see `KSPConvergenceTestFn`
2762: . ctx      - context for private data for the convergence routine (may be `NULL`)
2763: - destroy  - a routine for destroying the context (may be `NULL`)

2765:   Level: advanced

2767: .seealso: [](ch_ksp), `KSP`, `KSPConvergedDefault()`, `KSPGetConvergenceContext()`, `KSPSetTolerances()`, `KSPSetConvergenceTest()`, `KSPGetAndClearConvergenceTest()`
2768: @*/
2769: PetscErrorCode KSPGetConvergenceTest(KSP ksp, KSPConvergenceTestFn **converge, PetscCtxRt ctx, PetscCtxDestroyFn **destroy)
2770: {
2771:   PetscFunctionBegin;
2773:   if (converge) *converge = ksp->converged;
2774:   if (destroy) *destroy = ksp->convergeddestroy;
2775:   if (ctx) *(void **)ctx = ksp->cnvP;
2776:   PetscFunctionReturn(PETSC_SUCCESS);
2777: }

2779: /*@
2780:   KSPGetAndClearConvergenceTest - Gets the function to be used to determine convergence. Removes the current test without calling destroy on the test context

2782:   Logically Collective

2784:   Input Parameter:
2785: . ksp - iterative solver obtained from `KSPCreate()`

2787:   Output Parameters:
2788: + converge - pointer to convergence test function, see `KSPConvergenceTestFn`
2789: . ctx      - context for private data for the convergence routine
2790: - destroy  - a routine for destroying the context

2792:   Level: advanced

2794:   Note:
2795:   This is intended to be used to allow transferring the convergence test (and its context) to another testing object (for example another `KSP`)
2796:   and then calling `KSPSetConvergenceTest()` on this original `KSP`. If you just called `KSPGetConvergenceTest()` followed
2797:   by `KSPSetConvergenceTest()` the original context information
2798:   would be destroyed and hence the transferred context would be invalid and trigger a crash on use

2800: .seealso: [](ch_ksp), `KSP`, `KSPConvergedDefault()`, `KSPGetConvergenceContext()`, `KSPSetTolerances()`, `KSPSetConvergenceTest()`, `KSPGetConvergenceTest()`
2801: @*/
2802: PetscErrorCode KSPGetAndClearConvergenceTest(KSP ksp, KSPConvergenceTestFn **converge, PetscCtxRt ctx, PetscCtxDestroyFn **destroy)
2803: {
2804:   PetscFunctionBegin;
2806:   *converge             = ksp->converged;
2807:   *destroy              = ksp->convergeddestroy;
2808:   *(void **)ctx         = ksp->cnvP;
2809:   ksp->converged        = NULL;
2810:   ksp->cnvP             = NULL;
2811:   ksp->convergeddestroy = NULL;
2812:   PetscFunctionReturn(PETSC_SUCCESS);
2813: }

2815: /*@
2816:   KSPGetConvergenceContext - Gets the convergence context set with `KSPSetConvergenceTest()`.

2818:   Not Collective

2820:   Input Parameter:
2821: . ksp - iterative solver obtained from `KSPCreate()`

2823:   Output Parameter:
2824: . ctx - monitoring context

2826:   Level: advanced

2828:   Fortran Note:
2829:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
2830: .vb
2831:   type(tUsertype), pointer :: ctx
2832: .ve

2834: .seealso: [](ch_ksp), `KSP`, `KSPConvergedDefault()`, `KSPSetConvergenceTest()`, `KSPGetConvergenceTest()`
2835: @*/
2836: PetscErrorCode KSPGetConvergenceContext(KSP ksp, PetscCtxRt ctx)
2837: {
2838:   PetscFunctionBegin;
2840:   *(void **)ctx = ksp->cnvP;
2841:   PetscFunctionReturn(PETSC_SUCCESS);
2842: }

2844: /*@
2845:   KSPBuildSolution - Builds the approximate solution in a vector provided.

2847:   Collective

2849:   Input Parameter:
2850: . ksp - iterative solver obtained from `KSPCreate()`

2852:   Output Parameter:
2853:    Provide exactly one of
2854: + v - location to stash solution, optional, otherwise pass `NULL`
2855: - V - the solution is returned in this location. This vector is created internally. This vector should NOT be destroyed by the user with `VecDestroy()`.

2857:   Level: developer

2859:   Notes:
2860:   This routine can be used in one of two ways
2861: .vb
2862:       KSPBuildSolution(ksp,NULL,&V);
2863:    or
2864:       KSPBuildSolution(ksp,v,NULL); or KSPBuildSolution(ksp,v,&v);
2865: .ve
2866:   In the first case an internal vector is allocated to store the solution
2867:   (the user cannot destroy this vector). In the second case the solution
2868:   is generated in the vector that the user provides. Note that for certain
2869:   methods, such as `KSPCG`, the second case requires a copy of the solution,
2870:   while in the first case the call is essentially free since it simply
2871:   returns the vector where the solution already is stored. For some methods
2872:   like `KSPGMRES` during the solve this is a reasonably expensive operation and should only be
2873:   used if truly needed.

2875: .seealso: [](ch_ksp), `KSPGetSolution()`, `KSPBuildResidual()`, `KSP`
2876: @*/
2877: PetscErrorCode KSPBuildSolution(KSP ksp, Vec v, Vec *V)
2878: {
2879:   PetscFunctionBegin;
2881:   PetscCheck(V || v, PetscObjectComm((PetscObject)ksp), PETSC_ERR_ARG_WRONG, "Must provide either v or V");
2882:   if (!V) V = &v;
2883:   if (ksp->reason != KSP_CONVERGED_ITERATING) {
2884:     if (!v) PetscCall(KSPGetSolution(ksp, V));
2885:     else PetscCall(VecCopy(ksp->vec_sol, v));
2886:   } else {
2887:     PetscUseTypeMethod(ksp, buildsolution, v, V);
2888:   }
2889:   PetscFunctionReturn(PETSC_SUCCESS);
2890: }

2892: /*@
2893:   KSPBuildResidual - Builds the residual in a vector provided.

2895:   Collective

2897:   Input Parameter:
2898: . ksp - iterative solver obtained from `KSPCreate()`

2900:   Output Parameters:
2901: + t - work vector.  If not provided then one is generated.
2902: . v - optional location to stash residual.  If `v` is not provided, then a location is generated.
2903: - V - the residual

2905:   Level: advanced

2907:   Note:
2908:   Regardless of whether or not `v` is provided, the residual is
2909:   returned in `V`.

2911: .seealso: [](ch_ksp), `KSP`, `KSPBuildSolution()`
2912: @*/
2913: PetscErrorCode KSPBuildResidual(KSP ksp, Vec t, Vec v, Vec *V)
2914: {
2915:   PetscBool flag = PETSC_FALSE;
2916:   Vec       w = v, tt = t;

2918:   PetscFunctionBegin;
2920:   if (!w) PetscCall(VecDuplicate(ksp->vec_rhs, &w));
2921:   if (!tt) {
2922:     PetscCall(VecDuplicate(ksp->vec_sol, &tt));
2923:     flag = PETSC_TRUE;
2924:   }
2925:   PetscUseTypeMethod(ksp, buildresidual, tt, w, V);
2926:   if (flag) PetscCall(VecDestroy(&tt));
2927:   PetscFunctionReturn(PETSC_SUCCESS);
2928: }

2930: /*@
2931:   KSPSetComputeOperators - set routine to compute the linear operators

2933:   Logically Collective

2935:   Input Parameters:
2936: + ksp  - the `KSP` context
2937: . func - function to compute the operators, see `KSPComputeOperatorsFn` for the calling sequence
2938: - ctx  - optional context

2940:   Level: beginner

2942:   Notes:
2943:   `func()` will be called automatically at the very next call to `KSPSolve()`. It will NOT be called at future `KSPSolve()` calls
2944:   unless either `KSPSetComputeOperators()` or `KSPSetOperators()` is called before that `KSPSolve()` is called. This allows the same system to be solved several times
2945:   with different right-hand side functions but is a confusing API since one might expect it to be called for each `KSPSolve()`

2947:   To reuse the same preconditioner for the next `KSPSolve()` and not compute a new one based on the most recently computed matrix call `KSPSetReusePreconditioner()`

2949:   Developer Note:
2950:   Perhaps this routine and `KSPSetComputeRHS()` could be combined into a new API that makes clear when new matrices are computing without requiring call this
2951:   routine to indicate when the new matrix should be computed.

2953: .seealso: [](ch_ksp), `KSP`, `KSPSetOperators()`, `KSPSetComputeRHS()`, `DMKSPSetComputeOperators()`, `KSPSetComputeInitialGuess()`, `KSPComputeOperatorsFn`
2954: @*/
2955: PetscErrorCode KSPSetComputeOperators(KSP ksp, KSPComputeOperatorsFn *func, PetscCtx ctx)
2956: {
2957:   DM dm;

2959:   PetscFunctionBegin;
2961:   PetscCall(KSPGetDM(ksp, &dm));
2962:   PetscCall(DMKSPSetComputeOperators(dm, func, ctx));
2963:   if (ksp->setupstage == KSP_SETUP_NEWRHS) ksp->setupstage = KSP_SETUP_NEWMATRIX;
2964:   PetscFunctionReturn(PETSC_SUCCESS);
2965: }

2967: /*@
2968:   KSPSetComputeRHS - set routine to compute the right-hand side of the linear system

2970:   Logically Collective

2972:   Input Parameters:
2973: + ksp  - the `KSP` context
2974: . func - function to compute the right-hand side, see `KSPComputeRHSFn` for the calling sequence
2975: - ctx  - optional context

2977:   Level: beginner

2979:   Note:
2980:   The routine you provide will be called EACH you call `KSPSolve()` to prepare the new right-hand side for that solve

2982: .seealso: [](ch_ksp), `KSP`, `KSPSolve()`, `DMKSPSetComputeRHS()`, `KSPSetComputeOperators()`, `KSPSetOperators()`, `KSPComputeRHSFn`
2983: @*/
2984: PetscErrorCode KSPSetComputeRHS(KSP ksp, KSPComputeRHSFn *func, PetscCtx ctx)
2985: {
2986:   DM dm;

2988:   PetscFunctionBegin;
2990:   PetscCall(KSPGetDM(ksp, &dm));
2991:   PetscCall(DMKSPSetComputeRHS(dm, func, ctx));
2992:   PetscFunctionReturn(PETSC_SUCCESS);
2993: }

2995: /*@
2996:   KSPSetComputeInitialGuess - set routine to compute the initial guess of the linear system

2998:   Logically Collective

3000:   Input Parameters:
3001: + ksp  - the `KSP` context
3002: . func - function to compute the initial guess, see `KSPComputeInitialGuessFn` for calling sequence
3003: - ctx  - optional context

3005:   Level: beginner

3007:   Note:
3008:   This should only be used in conjunction with `KSPSetComputeRHS()` and `KSPSetComputeOperators()`, otherwise
3009:   call `KSPSetInitialGuessNonzero()` and set the initial guess values in the solution vector passed to `KSPSolve()` before calling the solver

3011: .seealso: [](ch_ksp), `KSP`, `KSPSolve()`, `KSPSetComputeRHS()`, `KSPSetComputeOperators()`, `DMKSPSetComputeInitialGuess()`, `KSPSetInitialGuessNonzero()`,
3012:           `KSPComputeInitialGuessFn`
3013: @*/
3014: PetscErrorCode KSPSetComputeInitialGuess(KSP ksp, KSPComputeInitialGuessFn *func, PetscCtx ctx)
3015: {
3016:   DM dm;

3018:   PetscFunctionBegin;
3020:   PetscCall(KSPGetDM(ksp, &dm));
3021:   PetscCall(DMKSPSetComputeInitialGuess(dm, func, ctx));
3022:   PetscFunctionReturn(PETSC_SUCCESS);
3023: }

3025: /*@
3026:   KSPSetUseExplicitTranspose - Determines whether the explicit transpose of the operator is formed in `KSPSolveTranspose()` and `KSPMatSolveTranspose()`

3028:   Collective

3030:   Input Parameters:
3031: + ksp - the `KSP` context
3032: - flg - `PETSC_TRUE` to transpose the system explicitly, `PETSC_FALSE` to not transpose explicitly (default)

3034:   Options Database Key:
3035: . -ksp_use_explicittranspose - transpose the system explicitly in `KSPSolveTranspose()` and `KSPMatSolveTranspose()`

3037:   Level: advanced

3039:   Note:
3040:   Explicitly forming the transpose may improve solve performance in some configurations, such as on GPUs. When enabled, the explicitly transposed operators replace the `KSP`
3041:   operators and remain set after `KSPSolveTranspose()` or `KSPMatSolveTranspose()`, so `KSPGetOperators()` returns the transposed operators. A subsequent non-transpose
3042:   `KSPSolve()` or `KSPMatSolve()`, or disabling this option, restores any cached transposed operator that is still set to its parent operator. Alternating between transpose
3043:   and non-transpose solves requires the preconditioner to be set up again on every direction change; use separate `KSP` objects when both directions are solved repeatedly.

3045: .seealso: [](ch_ksp), `KSPSolveTranspose()`, `KSPMatSolveTranspose()`, `KSPSetOperators()`, `KSPGetOperators()`, `KSP`
3046: @*/
3047: PetscErrorCode KSPSetUseExplicitTranspose(KSP ksp, PetscBool flg)
3048: {
3049:   PetscFunctionBegin;
3052:   if (!flg && ksp->transpose.reuse_transpose) {
3053:     PetscCall(KSPRestoreExplicitTranspose_Private(ksp));
3054:     PetscCall(KSPResetExplicitTranspose_Private(ksp));
3055:   }
3056:   ksp->transpose.use_explicittranspose = flg;
3057:   PetscFunctionReturn(PETSC_SUCCESS);
3058: }