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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="TAONLS"><H1>TAONLS</H1></A>
Newton's method with linesearch for unconstrained minimization. At each iteration, the Newton line search method solves the symmetric system of equations to obtain the step diretion dk: Hk dk = -gk a More-Thuente line search is applied on the direction dk to approximately solve min_t f(xk + t d_k)
<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>-tao_nls_ksp_type </B></TD><TD>- "cg","nash","stcg","gltr","petsc"
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_pc_type </B></TD><TD>- "none","ahess","bfgs","petsc"
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_bfgs_scale_type </B></TD><TD>- "ahess","phess","bfgs"
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_init_type </B></TD><TD>- "constant","direction","interpolation"
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_update_type </B></TD><TD>- "step","direction","interpolation"
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_sval </B></TD><TD>- perturbation starting value
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_imin </B></TD><TD>- minimum initial perturbation
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_imax </B></TD><TD>- maximum initial perturbation
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_pmin </B></TD><TD>- minimum perturbation
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_pmax </B></TD><TD>- maximum perturbation
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_pgfac </B></TD><TD>- growth factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_psfac </B></TD><TD>- shrink factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_imfac </B></TD><TD>- initial merit factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_pmgfac </B></TD><TD>- merit growth factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_pmsfac </B></TD><TD>- merit shrink factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_eta1 </B></TD><TD>- poor steplength; reduce radius
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_eta2 </B></TD><TD>- reasonable steplength; leave radius
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_eta3 </B></TD><TD>- good steplength; increase readius
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_eta4 </B></TD><TD>- excellent steplength; greatly increase radius
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_alpha1 </B></TD><TD>- alpha1 reduction
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_alpha2 </B></TD><TD>- alpha2 reduction
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_alpha3 </B></TD><TD>- alpha3 reduction
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_alpha4 </B></TD><TD>- alpha4 reduction
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_alpha </B></TD><TD>- alpha5 reduction
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_mu1 </B></TD><TD>- mu1 interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_mu2 </B></TD><TD>- mu2 interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma1 </B></TD><TD>- gamma1 interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma2 </B></TD><TD>- gamma2 interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma3 </B></TD><TD>- gamma3 interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma4 </B></TD><TD>- gamma4 interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_theta </B></TD><TD>- theta interpolation update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_omega1 </B></TD><TD>- omega1 step update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_omega2 </B></TD><TD>- omega2 step update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_omega3 </B></TD><TD>- omega3 step update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_omega4 </B></TD><TD>- omega4 step update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_omega5 </B></TD><TD>- omega5 step update
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_mu1_i </B></TD><TD>- mu1 interpolation init factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_mu2_i </B></TD><TD>- mu2 interpolation init factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma1_i </B></TD><TD>- gamma1 interpolation init factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma2_i </B></TD><TD>- gamma2 interpolation init factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma3_i </B></TD><TD>- gamma3 interpolation init factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_gamma4_i </B></TD><TD>- gamma4 interpolation init factor
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>-tao_nls_theta_i </B></TD><TD>- theta interpolation init factor
</TD></TR></TABLE>
<P>
<P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>beginner
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/tao/unconstrained/impls/nls/nls.c.html#TAONLS">src/tao/unconstrained/impls/nls/nls.c</A>
<BR><A HREF="./index.html">Index of all Tao routines</A>
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