slepc-3.21.1 2024-04-26
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VecCheckOrthogonality

Checks (or prints) the level of (bi-)orthogonality of a set of vectors.

Synopsis

#include "slepcvec.h" 
PetscErrorCode VecCheckOrthogonality(Vec V[],PetscInt nv,Vec W[],PetscInt nw,Mat B,PetscViewer viewer,PetscReal *lev)
Collective

Input Parameters

V  - a set of vectors
nv  - number of V vectors
W  - an alternative set of vectors (optional)
nw  - number of W vectors
B  - matrix defining the inner product (optional)
viewer  - optional visualization context

Output Parameter

lev  - level of orthogonality (optional)

Notes

This function computes W'*V and prints the result. It is intended to check the level of bi-orthogonality of the vectors in the two sets. If W is equal to NULL then V is used, thus checking the orthogonality of the V vectors.

If matrix B is provided then the check uses the B-inner product, W'*B*V.

If lev is not NULL, it will contain the maximum entry of matrix W'*V - I (in absolute value) omitting the diagonal. Otherwise, the matrix W'*V is printed.

See Also

VecCheckOrthonormality()

Level

developer

Location

src/sys/vec/vecutil.c

Examples

src/eps/tutorials/ex41.c


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