:orphan:
# TaoSetJacobianStateRoutine
Sets the function to compute the Jacobian (and its inverse) of the constraint function with respect to the state variables. Used only for PDE-constrained optimization.
## Synopsis
```
#include "petsctao.h"
PetscErrorCode TaoSetJacobianStateRoutine(Tao tao, Mat J, Mat Jpre, Mat Jinv, PetscErrorCode (*func)(Tao, Vec, Mat, Mat, Mat, void *), void *ctx)
```
Logically Collective
## Input Parameters
- ***tao -*** the `Tao` context
- ***J -*** Matrix used for the Jacobian
- ***Jpre -*** Matrix that will be used to construct the preconditioner, can be same as `J`. Only used if `Jinv` is `NULL`
- ***Jinv -*** [optional] Matrix used to apply the inverse of the state Jacobian. Use `NULL` to default to PETSc `KSP` solvers to apply the inverse.
- ***func -*** Jacobian evaluation routine
- ***ctx -*** [optional] user-defined context for private data for the
Jacobian evaluation routine (may be `NULL`)
## Calling sequence of `func`
```none
PetscErrorCode func(Tao tao, Vec x, Mat J, Mat Jpre, Mat Jinv, void *ctx);
```
- ***tao -*** the `Tao` context
- ***x -*** input vector
- ***J -*** Jacobian matrix
- ***Jpre -*** matrix used to construct the preconditioner, usually the same as `J`
- ***Jinv -*** inverse of `J`
- ***ctx -*** [optional] user-defined Jacobian context
## See Also
[](ch_tao), `Tao`, `TaoComputeJacobianState()`, `TaoSetJacobianDesignRoutine()`, `TaoSetStateDesignIS()`
## Level
intermediate
## Location
src/tao/interface/taosolver_hj.c
## Examples
src/tao/pde_constrained/tutorials/elliptic.c
src/tao/pde_constrained/tutorials/hyperbolic.c
src/tao/pde_constrained/tutorials/parabolic.c
---
[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/tao/interface/taosolver_hj.c)
[Index of all Tao routines](index.md)
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[Index of all manual pages](/manualpages/singleindex.md)