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<div id="version" align=right><b>petsc-3.10.3 2018-12-18</b></div>
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<A NAME="KSPPIPEBCGS"><H1>KSPPIPEBCGS</H1></A>
Implements the pipelined BiCGStab method. This method has only two non-blocking reductions per iteration, compared to 3 blocking for standard FBCGS. The
non-blocking reductions are overlapped by matrix-vector products and preconditioner applications.
<P>
Periodic residual replacement may be used to increase robustness and maximal attainable accuracy.
<P>
<H3><FONT COLOR="#CC3333">Options Database Keys</FONT></H3>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../KSP/KSPSolve.html#KSPSolve">KSPSolve</A>()
<BR>
<P>
<P>
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
Like <A HREF="../KSP/KSPFBCGS.html#KSPFBCGS">KSPFBCGS</A>, the <A HREF="../KSP/KSPPIPEBCGS.html#KSPPIPEBCGS">KSPPIPEBCGS</A> implementation only allows for right preconditioning.
MPI configuration may be necessary for reductions to make asynchronous progress, which is important for
performance of pipelined methods. See the FAQ on the PETSc website for details.
<P>
<H3><FONT COLOR="#CC3333">Contributed by</FONT></H3>
Siegfried Cools, Universiteit Antwerpen,
EXA2CT European Project on EXascale Algorithms and Advanced Computational Techniques, 2016.
<P>
<H3><FONT COLOR="#CC3333">Reference</FONT></H3>
S. Cools and W. Vanroose,
"The communication-hiding pipelined BiCGStab method for the parallel solution of large unsymmetric linear systems",
Parallel Computing, 65:1-20, 2017.
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../KSP/KSPCreate.html#KSPCreate">KSPCreate</A>(), <A HREF="../KSP/KSPSetType.html#KSPSetType">KSPSetType</A>(), <A HREF="../KSP/KSPType.html#KSPType">KSPType</A> (for list of available types), <A HREF="../KSP/KSP.html#KSP">KSP</A>, <A HREF="../KSP/KSPBICG.html#KSPBICG">KSPBICG</A>, <A HREF="../KSP/KSPFBCGS.html#KSPFBCGS">KSPFBCGS</A>, KSPFBCGSL, <A HREF="../KSP/KSPSetPCSide.html#KSPSetPCSide">KSPSetPCSide</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>intermediate<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/ksp/ksp/impls/bcgs/pipebcgs/pipebcgs.c.html#KSPPIPEBCGS">src/ksp/ksp/impls/bcgs/pipebcgs/pipebcgs.c</A>
<BR><A HREF="./index.html">Index of all KSP 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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