petsc-master 2020-10-26
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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