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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="SNESLINESEARCHNLEQERR"><H1>SNESLINESEARCHNLEQERR</H1></A>
Error-oriented affine-covariant globalised Newton algorithm of Deuflhard (2011). This linesearch is intended for Newton-type methods which are affine covariant. Affine covariance
means that Newton's method will give the same iterations for F(x) = 0 and AF(x) = 0 for a nonsingular
matrix A. This is a fundamental property; the philosophy of this linesearch is that globalisations
of Newton's method should carefully preserve it.
<P>
For a discussion of the theory behind this algorithm, see
<P>
@book{deuflhard2011,
title={Newton Methods for Nonlinear Problems},
author={Deuflhard, P.},
volume={35},
year={2011},
publisher={Springer-Verlag},
address={Berlin, Heidelberg}
}
<P>
Pseudocode is given on page 148.
<P>
<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>-snes_linesearch_damping<1.0> </B></TD><TD>- initial step length
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-snes_linesearch_minlambda<1e</B></TD><TD>- 12> - minimum step length allowed
</TD></TR></TABLE>
<P>
Contributed by Patrick Farrell <patrick.farrell@maths.ox.ac.uk>
<P>
<P>
<H3><FONT COLOR="#CC3333">Keywords</FONT></H3>
<A HREF="../SNES/SNES.html#SNES">SNES</A>, <A HREF="../SNES/SNESLineSearch.html#SNESLineSearch">SNESLineSearch</A>, damping
<BR>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../SNES/SNESLineSearchCreate.html#SNESLineSearchCreate">SNESLineSearchCreate</A>(), <A HREF="../SNES/SNESLineSearchSetType.html#SNESLineSearchSetType">SNESLineSearchSetType</A>()
<BR><P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>advanced
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/snes/linesearch/impls/nleqerr/linesearchnleqerr.c.html#SNESLINESEARCHNLEQERR">src/snes/linesearch/impls/nleqerr/linesearchnleqerr.c</A>
<BR><A HREF="./index.html">Index of all SNES routines</A>
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