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# VecAXPBYPCZ
Computes `z = alpha x + beta y + gamma z` 
## Synopsis
```
#include "petscvec.h"   
PetscErrorCode VecAXPBYPCZ(Vec z, PetscScalar alpha, PetscScalar beta, PetscScalar gamma, Vec x, Vec y)
```
Logically Collective


## Input Parameters

- ***alpha -*** first scalar
- ***beta -*** second scalar
- ***gamma -*** third scalar
- ***x  -*** first vector
- ***y  -*** second vector
- ***z  -*** third vector



## Output Parameter

- ***z -*** output vector





## Note
`x`, `y` and `z` must be different vectors


## Developer Note
The implementation is optimized for `alpha` of 1.0 and `gamma` of 1.0 or 0.0


## See Also
 [](ch_vectors), `Vec`, `VecAYPX()`, `VecMAXPY()`, `VecWAXPY()`, `VecAXPY()`, `VecAXPBY()`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/vec/vec/interface/rvector.c.html#VecAXPBYPCZ">src/vec/vec/interface/rvector.c</A>

## Examples
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/tao/tutorials/ex4.c.html">src/tao/tutorials/ex4.c</A><BR>

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/vec/vec/impls/nest/vecnest.c.html#VecAXPBYPCZ_Nest">VecAXPBYPCZ_Nest in src/vec/vec/impls/nest/vecnest.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/vec/vec/impls/seq/bvec1.c.html#VecAXPBYPCZ_Seq">VecAXPBYPCZ_Seq in src/vec/vec/impls/seq/bvec1.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/vec/vec/impls/seq/kokkos/veckok.kokkos.cxx.html#VecAXPBYPCZ_SeqKokkos">VecAXPBYPCZ_SeqKokkos in src/vec/vec/impls/seq/kokkos/veckok.kokkos.cxx</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/vec/vec/impls/seq/seqviennacl/vecviennacl.cxx.html#VecAXPBYPCZ_SeqViennaCL">VecAXPBYPCZ_SeqViennaCL in src/vec/vec/impls/seq/seqviennacl/vecviennacl.cxx</A><BR>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/vec/vec/interface/rvector.c)


[Index of all Vec routines](index.md)  
[Table of Contents for all manual pages](/manualpages/index.md)  
[Index of all manual pages](/manualpages/singleindex.md)