:orphan:
# TSComputeLinearStability
computes the linear stability function at a point
## Synopsis
```
#include "petscts.h"
PetscErrorCode TSComputeLinearStability(TS ts, PetscReal xr, PetscReal xi, PetscReal *yr, PetscReal *yi)
```
Collective
## Input Parameters
- ***ts -*** the `TS` context
- ***xr -*** real part of input argument
- ***xi -*** imaginary part of input argument
## Output Parameters
- ***yr -*** real part of function value
- ***yi -*** imaginary part of function value
## See Also
[](ch_ts), `TS`, `TSSetRHSFunction()`, `TSComputeIFunction()`
## Level
developer
## Location
src/ts/interface/ts.c
## Implementations
TSComputeLinearStability_Euler in src/ts/impls/explicit/euler/euler.c
TSComputeLinearStability_Theta in src/ts/impls/implicit/theta/theta.c
TSComputeLinearStability_Mimex in src/ts/impls/mimex/mimex.c
TSComputeLinearStability_BasicSymplectic in src/ts/impls/symplectic/basicsymplectic/basicsymplectic.c
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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/ts/interface/ts.c)
[Index of all TS routines](index.md)
[Table of Contents for all manual pages](/manualpages/index.md)
[Index of all manual pages](/manualpages/singleindex.md)