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<div id="version" align=right><b>slepc-3.23.1 2025-05-01</b></div>
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<H1>BVNormalize</H1>
Normalize all columns (starting from the leading ones).
<H3><FONT COLOR="#883300">Synopsis</FONT></H3>
<PRE>
#include "slepcbv.h"
<A HREF="https://petsc.org/release/manualpages/Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../BV/BVNormalize.html#BVNormalize">BVNormalize</A>(<A HREF="../BV/BV.html#BV">BV</A> bv,<A HREF="https://petsc.org/release/manualpages/Sys/PetscScalar.html#PetscScalar">PetscScalar</A> *eigi)
</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>bv </B></TD><TD> - basis vectors
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>eigi </B></TD><TD> - (optional) imaginary parts of eigenvalues
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
On output, all columns will have unit norm. The normalization is done with
respect to the 2-norm, or to the B-norm if a non-standard inner product has
been specified with <A HREF="../BV/BVSetMatrix.html#BVSetMatrix">BVSetMatrix</A>(), see <A HREF="../BV/BVNormColumn.html#BVNormColumn">BVNormColumn</A>().
<P>
If the optional argument eigi is passed (taken into account only in real
scalars) it is interpreted as the imaginary parts of the eigenvalues and
the <A HREF="../BV/BV.html#BV">BV</A> is supposed to contain the corresponding eigenvectors. Suppose the
first three values are eigi = { 0, alpha, -alpha }, then the first column
is normalized as usual, but the second and third ones are normalized assuming
that they contain the real and imaginary parts of a complex conjugate pair of
eigenvectors.
<P>
If eigi is passed, the inner-product matrix is ignored.
<P>
If there are leading columns, they are not modified (are assumed to be already
normalized).
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../BV/BVNormColumn.html#BVNormColumn">BVNormColumn</A>()
<BR><P><B></B><H3><FONT COLOR="#883300">Level</FONT></H3>intermediate<BR>
<H3><FONT COLOR="#883300">Location</FONT></H3>
</B><A HREF="../../../src/sys/classes/bv/interface/bvglobal.c.html#BVNormalize">src/sys/classes/bv/interface/bvglobal.c</A>
<BR><BR><A HREF="./index.html">Index of all BV routines</A>
<BR><A HREF="../../../docs/manual.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
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