petsc-3.14.5 2021-03-03
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# PetscDTAltVApply

Apply an a k-form (an alternating k-linear map) to a set of k N-dimensional vectors

### Synopsis

    #include "petscdt.h"
    PetscErrorCode PetscDTAltVApply(PetscInt N, PetscInt k, const PetscReal *w, const PetscReal *v, PetscReal *wv)

### Input Arguments

| 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] (each degree of freedom of a k-form is associated with a subset of k coordinates of the N-dimensional vectors: the degrees of freedom are ordered lexicographically by their associated subsets)
| v | - a set of k vectors of size N, size [k x N], each vector stored contiguously

### Output Arguments

| wv | - w(v_1,...,v_k) = \sum_i w_i * det(V_i): the degree of freedom w_i is associated with coordinates [s_{i,1},...,s_{i,k}], and the square matrix V_i has entry (j,k) given by the s_{i,k}'th coordinate of v_j

### See Also

PetscDTAltV, PetscDTAltVPullback(), PetscDTAltVPullbackMatrix()

### Level

intermediate

### Location

src/dm/dt/interface/dtaltv.c
Index of all DT routines
Table of Contents for all manual pages
Index of all manual pages