# PetscDTAltVInterior
Compute the interior product of a k-form with a vector 
## Synopsis
```
#include "petscdt.h" 
PetscErrorCode PetscDTAltVInterior(PetscInt N, PetscInt k, const PetscReal *w, const PetscReal *v, PetscReal *wIntv)
```

## Input Parameters

- ***N -*** the dimension of the vector space, N >= 0
- ***k -*** the degree k of the k-form w, 0 <= k <= N
- ***w -*** a k-form, size [N choose k]
- ***v -*** an N dimensional vector



## Output Parameter

- ***wIntv -*** the (k-1)-form (w int v), size [N choose (k-1)]: (w int v) is defined by its action on (k-1) vectors {v_1, ..., v_{k-1}} as (w inv v)(v_1, ..., v_{k-1}) = w(v, v_1, ..., v_{k-1}).





## See Also
 `PetscDTAltV`, `PetscDTAltVInteriorMatrix()`, `PetscDTAltVInteriorPattern()`, `PetscDTAltVPullback()`, `PetscDTAltVPullbackMatrix()`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/interface/dtaltv.c.html#PetscDTAltVInterior">src/dm/dt/interface/dtaltv.c</A>


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