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<div id="version" align=right><b>slepc-3.23.1 2025-05-01</b></div>
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<H1>BVCreateTensor</H1>
Creates a tensor <A HREF="../BV/BV.html#BV">BV</A> that is represented in compact form as V = (I otimes U) S, where U has orthonormal columns.
<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/BVCreateTensor.html#BVCreateTensor">BVCreateTensor</A>(<A HREF="../BV/BV.html#BV">BV</A> U,<A HREF="https://petsc.org/release/manualpages/Sys/PetscInt.html#PetscInt">PetscInt</A> d,<A HREF="../BV/BV.html#BV">BV</A> *V)
</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>U </B></TD><TD> - a basis vectors object
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>d </B></TD><TD> - the number of blocks (degree) of the tensor <A HREF="../BV/BV.html#BV">BV</A>
</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>V </B></TD><TD> - the new basis vectors context
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
The new basis vectors object is V = (I otimes U) S, where otimes denotes
the Kronecker product, I is the identity matrix of order d, and S is a
sequential matrix allocated internally. This compact representation is
used e.g. to represent the Krylov basis generated with the linearization
of a matrix polynomial of degree d.
<P>
The size of V (number of rows) is equal to d times n, where n is the size
of U. The dimensions of S are d times m rows and m-d+1 columns, where m is
the number of columns of U, so m should be at least d.
<P>
The communicator of V will be the same as U.
<P>
On input, the content of U is irrelevant. Alternatively, it may contain
some nonzero columns that will be used by <A HREF="../BV/BVTensorBuildFirstColumn.html#BVTensorBuildFirstColumn">BVTensorBuildFirstColumn</A>().
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../BV/BVTensorGetDegree.html#BVTensorGetDegree">BVTensorGetDegree</A>(), <A HREF="../BV/BVTensorGetFactors.html#BVTensorGetFactors">BVTensorGetFactors</A>(), <A HREF="../BV/BVTensorBuildFirstColumn.html#BVTensorBuildFirstColumn">BVTensorBuildFirstColumn</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#BVCreateTensor">src/sys/classes/bv/impls/tensor/bvtensor.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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