petsc-3.13.6 2020-09-29

PetscDTAltVPullbackMatrix

Compute the pullback matrix for k-forms under a linear transformation

#include "petscdt.h" 
PetscErrorCode PetscDTAltVPullbackMatrix(PetscInt N, PetscInt M, const PetscReal *L, PetscInt k, PetscReal *Lstar)

	N	- the dimension of the origin vector space of the linear transformation, N >= 0
	M	- the dimension of the image vector space of the linear transformation, M >= 0
	L	- a linear transformation, an [M x N] matrix in row-major format
	k	- the signed degree k of the \|k\|-forms on which Lstar acts, -(min(M,N)) <= k <= min(M,N). A negative form degree indicates that the pullback should be conjugated by the Hodge star operator (see note in PetscDTAltvPullback())

Lstar -the pullback matrix, an [(N choose |k|) x (M choose |k|)] matrix in row-major format such that Lstar * w = L^* w

intermediate