BVTensorBuildFirstColumn#

Builds the first column of the tensor basis vectors V from the data contained in the first k columns of U.

Synopsis#

#include "slepcbv.h" 
PetscErrorCode BVTensorBuildFirstColumn(BV V,PetscInt k)

Collective

Input Parameters#

V - the basis vectors context
k - the number of columns of U with relevant information

Notes#

At most \(d\) columns are considered, where \(d\) is the degree of the tensor BV. Given \(V = (I \otimes U) S\), this function computes the first column of \(V\), that is, it computes the coefficients of the first column of \(S\) by orthogonalizing the first \(d\) columns of \(U\). If k is less than \(d\) (or linearly dependent columns are found) then additional random columns are used.