2: #include <petsc/private/matimpl.h>          /*I "petscmat.h" I*/

  4: typedef struct {
  5:   Mat A;
  6: } Mat_HT;

 10: PetscErrorCode MatMult_HT(Mat N,Vec x,Vec y)
 11: {
 12:   Mat_HT         *Na = (Mat_HT*)N->data;

 16:   MatMultHermitianTranspose(Na->A,x,y);
 17:   return(0);
 18: }

 22: PetscErrorCode MatMultAdd_HT(Mat N,Vec v1,Vec v2,Vec v3)
 23: {
 24:   Mat_HT         *Na = (Mat_HT*)N->data;

 28:   MatMultHermitianTransposeAdd(Na->A,v1,v2,v3);
 29:   return(0);
 30: }

 34: PetscErrorCode MatMultHermitianTranspose_HT(Mat N,Vec x,Vec y)
 35: {
 36:   Mat_HT         *Na = (Mat_HT*)N->data;

 40:   MatMult(Na->A,x,y);
 41:   return(0);
 42: }

 46: PetscErrorCode MatMultHermitianTransposeAdd_HT(Mat N,Vec v1,Vec v2,Vec v3)
 47: {
 48:   Mat_HT         *Na = (Mat_HT*)N->data;

 52:   MatMultAdd(Na->A,v1,v2,v3);
 53:   return(0);
 54: }

 58: PetscErrorCode MatDestroy_HT(Mat N)
 59: {
 60:   Mat_HT         *Na = (Mat_HT*)N->data;

 64:   MatDestroy(&Na->A);
 65:   PetscFree(N->data);
 66:   return(0);
 67: }

 71: PetscErrorCode MatDuplicate_HT(Mat N, MatDuplicateOption op, Mat* m)
 72: {
 73:   Mat_HT         *Na = (Mat_HT*)N->data;

 77:   if (op == MAT_COPY_VALUES) {
 78:     MatHermitianTranspose(Na->A,MAT_INITIAL_MATRIX,m);
 79:   } else if (op == MAT_DO_NOT_COPY_VALUES) {
 80:     MatDuplicate(Na->A,MAT_DO_NOT_COPY_VALUES,m);
 81:     MatHermitianTranspose(*m,MAT_REUSE_MATRIX,m);
 82:   } else SETERRQ(PetscObjectComm((PetscObject)N),PETSC_ERR_SUP,"MAT_SHARE_NONZERO_PATTERN not supported for this matrix type");
 83:   return(0);
 84: }

 88: /*@
 89:       MatCreateHermitianTranspose - Creates a new matrix object that behaves like A'*

 91:    Collective on Mat

 93:    Input Parameter:
 94: .   A  - the (possibly rectangular) matrix

 96:    Output Parameter:
 97: .   N - the matrix that represents A'*

 99:    Level: intermediate

101:    Notes: The hermitian transpose A' is NOT actually formed! Rather the new matrix
102:           object performs the matrix-vector product by using the MatMultHermitianTranspose() on
103:           the original matrix

105: .seealso: MatCreateNormal(), MatMult(), MatMultHermitianTranspose(), MatCreate()

107: @*/
108: PetscErrorCode  MatCreateHermitianTranspose(Mat A,Mat *N)
109: {
111:   PetscInt       m,n;
112:   Mat_HT         *Na;

115:   MatGetLocalSize(A,&m,&n);
116:   MatCreate(PetscObjectComm((PetscObject)A),N);
117:   MatSetSizes(*N,n,m,PETSC_DECIDE,PETSC_DECIDE);
118:   PetscLayoutSetUp((*N)->rmap);
119:   PetscLayoutSetUp((*N)->cmap);
120:   PetscObjectChangeTypeName((PetscObject)*N,MATTRANSPOSEMAT);

122:   PetscNewLog(*N,&Na);
123:   (*N)->data = (void*) Na;
124:   PetscObjectReference((PetscObject)A);
125:   Na->A      = A;

127:   (*N)->ops->destroy                    = MatDestroy_HT;
128:   (*N)->ops->mult                       = MatMult_HT;
129:   (*N)->ops->multadd                    = MatMultAdd_HT;
130:   (*N)->ops->multhermitiantranspose     = MatMultHermitianTranspose_HT;
131:   (*N)->ops->multhermitiantransposeadd  = MatMultHermitianTransposeAdd_HT;
132:   (*N)->ops->duplicate                  = MatDuplicate_HT;
133:   (*N)->assembled                       = PETSC_TRUE;

135:   MatSetBlockSizes(*N,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));
136:   MatSetUp(*N);
137:   return(0);
138: }