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   <div id="version" align=right><b>petsc-3.4.2 2013-07-02</b></div>
<A NAME="KSPLCD"><H1>KSPLCD</H1></A>
Implements the LCD (left conjugate direction) method in PETSc. 
<H3><FONT COLOR="#CC3333">Options Database Keys</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_lcd_restart </B></TD><TD>- number of vectors conjudate
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-ksp_lcd_haptol </B></TD><TD>- tolerance for exact convergence (happing ending)
</TD></TR></TABLE>
<P>

<P>
Notes: Support only for left preconditioning
<P>
<H3><FONT COLOR="#CC3333">References</FONT></H3>
- J.Y. Yuan, G.H.Golub, R.J. Plemmons, and W.A.G. Cecilio. Semiconjugate
direction methods for real positive definite system. BIT Numerical
Mathematics, 44(1):189-207,2004.
- Y. Dai and J.Y. Yuan. Study on semi-conjugate direction methods for
non-symmetric systems. International Journal for Numerical Methods in
Engineering, 60:1383-1399,2004.
- L. Catabriga, A.L.G.A. Coutinho, and L.P.Franca. Evaluating the LCD
algorithm for solving linear systems of equations arising from implicit
SUPG formulation of compressible flows. International Journal for
Numerical Methods in Engineering, 60:1513-1534,2004
- L. Catabriga, A. M. P. Valli, B. Z. Melotti, L. M. Pessoa,
A. L. G. A. Coutinho, Performance of LCD iterative method in the finite
element and finite difference solution of convection-diffusion
equations,  Communications in Numerical Methods in Engineering, (Early
View).
<P>
Contributed by: Lucia Catabriga &lt;luciac@ices.utexas.edu&gt;
<P>
<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>,
<BR><A HREF="../KSP/KSPCGSetType.html#KSPCGSetType">KSPCGSetType</A>(), KSPLCDSetRestart(), KSPLCDSetHapTol()
<P>
<P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>beginner
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/ksp/ksp/impls/lcd/lcd.c.html#KSPLCD">src/ksp/ksp/impls/lcd/lcd.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>
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