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<div id="version" align=right><b>slepc-3.23.1 2025-05-01</b></div>
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<H1>VecCheckOrthogonality</H1>
Checks (or prints) the level of (bi-)orthogonality of a set of vectors.
<H3><FONT COLOR="#883300">Synopsis</FONT></H3>
<PRE>
#include "slepcvec.h"
<A HREF="https://petsc.org/release/manualpages/Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../sys/VecCheckOrthogonality.html#VecCheckOrthogonality">VecCheckOrthogonality</A>(<A HREF="https://petsc.org/release/manualpages/Vec/Vec.html#Vec">Vec</A> V[],<A HREF="https://petsc.org/release/manualpages/Sys/PetscInt.html#PetscInt">PetscInt</A> nv,<A HREF="https://petsc.org/release/manualpages/Vec/Vec.html#Vec">Vec</A> W[],<A HREF="https://petsc.org/release/manualpages/Sys/PetscInt.html#PetscInt">PetscInt</A> nw,<A HREF="https://petsc.org/release/manualpages/Mat/Mat.html#Mat">Mat</A> B,<A HREF="https://petsc.org/release/manualpages/Viewer/PetscViewer.html#PetscViewer">PetscViewer</A> viewer,<A HREF="https://petsc.org/release/manualpages/Sys/PetscReal.html#PetscReal">PetscReal</A> *lev)
</PRE>
Collective
<P>
<H3><FONT COLOR="#883300">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>V </B></TD><TD> - a set of vectors
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>nv </B></TD><TD> - number of V vectors
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>W </B></TD><TD> - an alternative set of vectors (optional)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>nw </B></TD><TD> - number of W vectors
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>B </B></TD><TD> - matrix defining the inner product (optional)
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>viewer </B></TD><TD> - optional visualization context
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Output Parameter</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>lev </B></TD><TD> - level of orthogonality (optional)
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
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.
<P>
If matrix B is provided then the check uses the B-inner product, W'*B*V.
<P>
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.
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../sys/VecCheckOrthonormality.html#VecCheckOrthonormality">VecCheckOrthonormality</A>()
<BR><P><B></B><H3><FONT COLOR="#883300">Level</FONT></H3>developer<BR>
<H3><FONT COLOR="#883300">Location</FONT></H3>
</B><A HREF="../../../src/sys/vec/vecutil.c.html#VecCheckOrthogonality">src/sys/vec/vecutil.c</A>
<P><H3><FONT COLOR="#883300">Examples</FONT></H3>
<A HREF="../../../src/eps/tutorials/ex41.c.html">src/eps/tutorials/ex41.c</A><BR>
<A HREF="../../../src/eps/tutorials/ex55.c.html">src/eps/tutorials/ex55.c</A><BR>
<BR><BR><A HREF="./index.html">Index of all sys routines</A>
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