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<div id="version" align=right><b>slepc-3.23.1 2025-05-01</b></div>
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<H1>BVTensorBuildFirstColumn</H1>
Builds the first column of the tensor basis vectors V from the data contained in the first k columns of U.
<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/BVTensorBuildFirstColumn.html#BVTensorBuildFirstColumn">BVTensorBuildFirstColumn</A>(<A HREF="../BV/BV.html#BV">BV</A> V,<A HREF="https://petsc.org/release/manualpages/Sys/PetscInt.html#PetscInt">PetscInt</A> k)
</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> - the basis vectors context
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>k </B></TD><TD> - the number of columns of U with relevant information
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
At most d columns are considered, where d is the degree of the tensor <A HREF="../BV/BV.html#BV">BV</A>.
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.
<P>
The computed column has unit norm.
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../BV/BVCreateTensor.html#BVCreateTensor">BVCreateTensor</A>()
<BR><P><B></B><H3><FONT COLOR="#883300">Level</FONT></H3>advanced<BR>
<H3><FONT COLOR="#883300">Location</FONT></H3>
</B><A HREF="../../../src/sys/classes/bv/impls/tensor/bvtensor.c.html#BVTensorBuildFirstColumn">src/sys/classes/bv/impls/tensor/bvtensor.c</A>
<BR><BR><A HREF="./index.html">Index of all BV routines</A>
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