# 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 on ts


## Input Parameters

- ***ts -*** the `TS` context
- ***xr,xi -*** real and imaginary part of input arguments



## Output Parameters

- ***yr,yi -*** real and imaginary part of function value





## See Also
 [](chapter_ts), `TS`, `TSSetRHSFunction()`, `TSComputeIFunction()`

## Level
developer

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/interface/ts.c.html#TSComputeLinearStability">src/ts/interface/ts.c</A>

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/explicit/euler/euler.c.html#TSComputeLinearStability_Euler">TSComputeLinearStability_Euler in src/ts/impls/explicit/euler/euler.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/theta/theta.c.html#TSComputeLinearStability_Theta">TSComputeLinearStability_Theta in src/ts/impls/implicit/theta/theta.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/mimex/mimex.c.html#TSComputeLinearStability_Mimex">TSComputeLinearStability_Mimex in src/ts/impls/mimex/mimex.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/symplectic/basicsymplectic/basicsymplectic.c.html#TSComputeLinearStability_BasicSymplectic">TSComputeLinearStability_BasicSymplectic in src/ts/impls/symplectic/basicsymplectic/basicsymplectic.c</A><BR>


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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](/docs/manualpages/index.md)  
[Index of all manual pages](/docs/manualpages/singleindex.md)  
