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   <div id="version" align=right><b>petsc-3.7.5 2017-01-01</b></div>
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<A NAME="PCApplyBAorABTranspose"><H1>PCApplyBAorABTranspose</H1></A>
Applies the transpose of the preconditioner and operator to a vector. That is, applies tr(B) * tr(A) with left preconditioning, NOT tr(B*A) = tr(A)*tr(B). 
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscksp.h" 
PetscErrorCode  PCApplyBAorABTranspose(PC pc,PCSide side,Vec x,Vec y,Vec work)
</PRE>
Collective on <A HREF="../PC/PC.html#PC">PC</A> and <A HREF="../Vec/Vec.html#Vec">Vec</A>
<P>
<H3><FONT COLOR="#CC3333">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>pc </B></TD><TD>- the preconditioner context
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>side </B></TD><TD>- indicates the preconditioner side, one of PC_LEFT, PC_RIGHT, or PC_SYMMETRIC
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>x </B></TD><TD>- input vector
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>work </B></TD><TD>- work vector
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Parameter</FONT></H3>
<DT><B>y </B> -output vector
<br>
<P>
<P>
Notes: this routine is used internally so that the same Krylov code can be used to solve A x = b and A' x = b, with a preconditioner
defined by B'. This is why this has the funny form that it computes tr(B) * tr(A)
<P>

<P>
<H3><FONT COLOR="#CC3333">Keywords</FONT></H3>
 <A HREF="../PC/PC.html#PC">PC</A>, apply, operator, transpose
<BR>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
 <A HREF="../PC/PCApply.html#PCApply">PCApply</A>(), <A HREF="../PC/PCApplyTranspose.html#PCApplyTranspose">PCApplyTranspose</A>(), <A HREF="../PC/PCApplyBAorAB.html#PCApplyBAorAB">PCApplyBAorAB</A>()
<BR><P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>developer
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/ksp/pc/interface/precon.c.html#PCApplyBAorABTranspose">src/ksp/pc/interface/precon.c</A>
<BR><A HREF="./index.html">Index of all PC routines</A>
<BR><A HREF="../../index.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
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