slepc-3.22.1 2024-10-28
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
src/eps/tutorials/ex55.c
Index of all sys routines
Table of Contents for all manual pages
Index of all manual pages