@ -1,4 +1,4 @@
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original version by: Nikos Drakos, CBLU, University of Leeds
@ -25,31 +25,30 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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< H2 > < A NAME = "SECTION00082000000000000000" > < / A > < A NAME = "sec:precset" > < / A >
@ -89,25 +88,25 @@ the new smoother/solver variable to the setup routine as follows:
< BR > < code > call p%set(solver,info [,ilev])< / code >
< / DIV >
In this way, the variable will act as a < SPAN CLASS = "textit" > mold< / SPAN > to which the
In this way, the variable will act as a < I> mold< / I > to which the
preconditioner will conform, even though the MLD2P4 library is not
modified, and thus has no direct knowledge about the new type.
< P >
< BIG CLASS = "LARGE "> < B > Arguments< / B > < / BIG >
< FONT SIZE = "+1 "> < B > Arguments< / B > < / FONT >
< P >
< TABLE CELLPADDING = 3 >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 34 > < code > p< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > < code > type(mld_< / code > < SPAN CLASS = "textit" > x< / SPAN > < code > prec_type), intent(inout)< / code > .< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > < code > type(mld_< / code > < I> x< / I > < code > prec_type), intent(inout)< / code > .< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 34 > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > The preconditioner data structure. Note that < SPAN CLASS = "textit" > x< / SPAN > must
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > The preconditioner data structure. Note that < I> x< / I > must
be chosen according to the real/complex, single/double precision
version of MLD2P4 under use.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 34 > < code > what< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > < code > integer, intent(in)< / code > < SPAN CLASS = "textit" > or< / SPAN > < code > character(len=*)< / code > .< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > < code > integer, intent(in)< / code > < I> or< / I > < code > character(len=*)< / code > .< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 34 > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > The parameter to be set. It can be specified by
@ -116,8 +115,8 @@ modified, and thus has no direct knowledge about the new type.
Tables < A HREF = "#tab:p_type" > 2< / A > -< A HREF = "#tab:p_coarse" > 5< / A > .< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 34 > < code > val < / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > < code > integer< / code > < SPAN CLASS = "textit" > or< / SPAN > < code > character(len=*)< / code > < SPAN CLASS = "textit" > or< / SPAN >
< code > real(psb_spk_)< / code > < SPAN CLASS = "textit" > or< / SPAN > < code > real(psb_dpk_)< / code > ,
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 340 > < code > integer< / code > < I> or< / I > < code > character(len=*)< / code > < I> or< / I >
< code > real(psb_spk_)< / code > < I> or< / I > < code > real(psb_dpk_)< / code > ,
< code > intent(in)< / code > .< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 34 > < / TD >
@ -180,7 +179,7 @@ object is specified its defaults are also set, overriding in both
cases any previous settings even if explicitly specified. Therefore if
the user sets a new smoother, and wishes to use a solver
different from the default one, the call to set the solver must come
< SPAN CLASS = "textit" > after< / SPAN > the call to set the smoother.
< I> after< / I > the call to set the smoother.
< P >
The combination of a Jacobi smoother with a Diagonal Scaling local
solver is equivalent to the strategy called Point Jacobi in the
@ -203,7 +202,7 @@ according to their needs.
< P >
< BR > < P > < / P >
< DIV ALIGN = "CENTER" > < A NAME = "1 271 "> < / A >
< DIV ALIGN = "CENTER" > < A NAME = "1 30 2"> < / A >
< TABLE >
< CAPTION > < STRONG > Table 2:< / STRONG >
Parameters defining the type of multi-level preconditioner.
@ -247,7 +246,7 @@ Parameters defining the type of multi-level preconditioner.
< P >
< BR > < P > < / P >
< DIV ALIGN = "CENTER" > < A NAME = "1 27 3"> < / A >
< DIV ALIGN = "CENTER" > < A NAME = "1 304 "> < / A >
< TABLE >
< CAPTION > < STRONG > Table 3:< / STRONG >
Parameters defining the one-level preconditioner used as smoother.
@ -263,10 +262,10 @@ Parameters defining the one-level preconditioner used as smoother.
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_sub_ovr_< / code > < BR > < code > SUB_OVR< / code > < / TD >
< TD ALIGN = "LEFT" > < code > integer< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > any int. num. < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > any int. num. <
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png"
ALT="$\ge 0$">< / SPAN> < / TD>
ALT="$\ge 0$">< / >
< TD ALIGN = "LEFT" > 1< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Number of overlap layers.< / TD >
< / TR >
@ -311,30 +310,30 @@ Parameters defining the one-level preconditioner used as smoother.
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_sub_fillin_< / code > < BR > < code > SUB_FILLIN< / code > < / TD >
< TD ALIGN = "LEFT" > < code > integer< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. <
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png"
ALT="$\ge 0$">< / SPAN> < / TD>
ALT="$\ge 0$">< / >
< TD ALIGN = "LEFT" > 0< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Fill-in level < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Fill-in level <
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p$">< / SPAN > < / TD >
ALT="$p$"> of the incomplete LU factorizations.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_sub_iluthrs_< / code > < BR > < code > SUB_ILUTHRS< / code > < / TD >
< TD ALIGN = "LEFT" > < code > real(< / code > < SPAN CLASS = "textit" > kind_parameter< / SPAN > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any real num. < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" > < code > real(< / code > < I> kind_parameter< / I > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any real num. <
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png"
ALT="$\ge 0$">< / SPAN> < / TD>
ALT="$\ge 0$">< / >
< TD ALIGN = "LEFT" > 0< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Drop tolerance < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Drop tolerance <
WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
SRC="img91.png"
ALT="$t$">< / SPAN > < SPAN CLASS = "MATH" > < IMG
ALT="$t$"> in the ILU(< IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img36.png"
ALT="$p,t$">< / SPAN > < / TD >
ALT="$p,t$">) factorization.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_sub_ren_< / code > < BR > < code > SUB_REN< / code > < / TD >
< TD ALIGN = "LEFT" > < code > character(len=*)< / code > < / TD >
@ -347,7 +346,7 @@ Parameters defining the one-level preconditioner used as smoother.
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_solver_sweeps_< / code > < BR > < code > SOLVER_SWEEPS< / code > < / TD >
< TD ALIGN = "LEFT" > < code > integer< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. < IMG
WIDTH="31 " HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32 " HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img92.png"
ALT="$\ge 1$">< / TD >
< TD ALIGN = "LEFT" > 1< / TD >
@ -363,7 +362,7 @@ Parameters defining the one-level preconditioner used as smoother.
< P >
< BR > < P > < / P >
< DIV ALIGN = "CENTER" > < A NAME = "1 275 "> < / A >
< DIV ALIGN = "CENTER" > < A NAME = "1 306 "> < / A >
< TABLE >
< CAPTION > < STRONG > Table 4:< / STRONG >
Parameters defining the aggregation algorithm.
@ -396,6 +395,16 @@ Parameters defining the aggregation algorithm.
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > Aggregation algorithm. Currently, only the
decoupled aggregation is available.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > < code > mld_aggr_ord_< / code > < BR > < code > AGGR_ORD< / code > < / TD >
< TD ALIGN = "LEFT" > < code > character(len=*)< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'NAT'< / TT > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'DEGREE'< / TT > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > Initial ordering of indices for aggregation
algorithm: natural ordering or sorted by
descending degree of the node in the
matrix graph. Since aggregation is
heuristics, results will be different.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > < code > mld_aggr_kind_< / code > < BR > < code > AGGR_KIND< / code > < / TD >
< TD ALIGN = "LEFT" > < code > character(len=*)< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'SMOOTHED'< / TT > < TT > 'NONSMOOTHED'< / TT > < / TD >
@ -404,16 +413,16 @@ Parameters defining the aggregation algorithm.
(i.e. using the tentative prolongator).< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > < code > mld_aggr_thresh_< / code > < BR > < code > AGGR_THRESH< / code > < / TD >
< TD ALIGN = "LEFT" > < code > real(< / code > < SPAN CLASS = "textit" > kind_parameter< / SPAN > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > Any real num. < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" > < code > real(< / code > < I> kind_parameter< / I > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > Any real num. <
WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
SRC="img93.png"
ALT="$\in [0, 1]$">< / SPAN> < / TD>
ALT="$\in [0, 1]$">< / >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > 0.05< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > Threshold < IMG
WIDTH="13" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img94.png"
ALT="$\theta$">< / SPAN > < / TD >
ALT="$\theta$"> in the aggregation algorithm.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > < code > mld_aggr_scale_< / code > < BR > < code > AGGR_SCALE< / code > < / TD >
< TD ALIGN = "LEFT" > < code > real(< / code > < I > kind_parameter< / I > < code > )< / code > < / TD >
@ -435,55 +444,55 @@ Parameters defining the aggregation algorithm.
< TD ALIGN = "LEFT" > < code > character(len=*)< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'EIG_EST'< / TT > < TT > 'USER_CHOICE'< / TT > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'EIG_EST'< / TT > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > How the damping parameter < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > How the damping parameter <
WIDTH="16" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
SRC="img86.png"
ALT="$\omega$">< / SPAN >
ALT="$\omega$"> in the
smoothed aggregation should be computed:
either via an estimate of the spectral radius of
< SPAN CLASS = "MATH" > < IMG
<
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
SRC="img87.png"
ALT="$D^{-1}A$">< / SPAN >
ALT="$D^{-1}A$">, or explicily
specified by the user.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > < code > mld_aggr_eig_< / code > < BR > < code > AGGR_EIG< / code > < / TD >
< TD ALIGN = "LEFT" > < code > character(len=*)< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'A_NORMI'< / TT > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > < TT > 'A_NORMI'< / TT > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > How to estimate the spectral radius of < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > How to estimate the spectral radius of <
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
SRC="img87.png"
ALT="$D^{-1}A$">< / SPAN >
ALT="$D^{-1}A$">.
Currently only the infinity norm estimate
is available.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > < code > mld_aggr_omega_val_< / code > < BR > < code > AGGR_OMEGA_VAL< / code > < / TD >
< TD ALIGN = "LEFT" > < code > real(< / code > < SPAN CLASS = "textit" > kind_parameter< / SPAN > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" > < code > real(< / code > < I> kind_parameter< / I > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > Any nonnegative real num.< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 68 > <!-- MATH
$4/(3\rho(D^{-1}A))$
-->
< SPAN CLASS = "MATH" > < IMG
< IMG
WIDTH="113" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
SRC="img97.png"
ALT="$4/(3\rho(D^{-1}A))$">< / SPAN> < / TD>
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > Damping parameter < SPAN CLASS = "MATH" > < IMG
ALT="$4/(3\rho(D^{-1}A))$">< / >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 170 > Damping parameter <
WIDTH="16" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
SRC="img86.png"
ALT="$\omega$">< / SPAN >
ALT="$\omega$"> in the smoothed aggregation algorithm.
It must be set by the user if
< code > USER_CHOICE< / code > was specified for
< code > mld_aggr_omega_alg_< / code > ,
otherwise it is computed by the library, using the
selected estimate of the spectral radius < SPAN CLASS = "MATH" > < IMG
selected estimate of the spectral radius <
WIDTH="73" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
SRC="img98.png"
ALT="$\rho(D^{-1}A)$">< / SPAN >
< SPAN CLASS = "MATH" > < IMG
ALT="$\rho(D^{-1}A)$"> of
<
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
SRC="img87.png"
ALT="$D^{-1}A$">< / SPAN > < / TD >
ALT="$D^{-1}A$">.< / TD >
< / TR >
< / TABLE >
< / DIV >
@ -494,7 +503,7 @@ Parameters defining the aggregation algorithm.
< P >
< BR > < P > < / P >
< DIV ALIGN = "CENTER" > < A NAME = "1 278 "> < / A >
< DIV ALIGN = "CENTER" > < A NAME = "1 309 "> < / A >
< TABLE >
< CAPTION > < STRONG > Table 5:< / STRONG >
Parameters defining the coarse-space correction at the coarsest
@ -535,63 +544,63 @@ level.</CAPTION>
< TD ALIGN = "LEFT" > See note< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Solver for the diagonal blocks of the coarse matrix,
in case the block Jacobi solver
is chosen as coarsest-level solver: ILU(< SPAN CLASS = "MATH" > < IMG
is chosen as coarsest-level solver: ILU(<
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p$">< / SPAN > < SPAN CLASS = "MATH" > < IMG
ALT="$p$">), MILU(< IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p$">< / SPAN >
ILU(< SPAN CLASS = "MATH" > < IMG
ALT="$p$">),
ILU(<
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img36.png"
ALT="$p,t$">< / SPAN >
ALT="$p,t$">), LU from UMFPACK,
LU from SuperLU, plus triangular solve.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_coarse_sweeps_< / code > < BR > < code > COARSE_SWEEPS< / code > < / TD >
< TD ALIGN = "LEFT" > < code > integer< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. < SPAN CLASS = "MATH" > < IMG
WIDTH="32 " HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. <
WIDTH="31 " HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img99.png"
ALT="$> 0$">< / SPAN> < / TD>
ALT="$> 0$">< / >
< TD ALIGN = "LEFT" > 4< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Number of Block-Jacobi sweeps when 'BJAC' is used as
coarsest-level solver.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_coarse_fillin_< / code > < BR > < code > COARSE_FILLIN< / code > < / TD >
< TD ALIGN = "LEFT" > < code > integer< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any int. num. <
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png"
ALT="$\ge 0$">< / SPAN> < / TD>
ALT="$\ge 0$">< / >
< TD ALIGN = "LEFT" > 0< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Fill-in level < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Fill-in level <
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p$">< / SPAN > < / TD >
ALT="$p$"> of the incomplete LU factorizations.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 99 > < code > mld_coarse_iluthrs_< / code > < BR > < code > COARSE_ILUTHRS< / code > < / TD >
< TD ALIGN = "LEFT" > < code > real(< / code > < SPAN CLASS = "textit" > kind_parameter< / SPAN > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any real. num. < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" > < code > real(< / code > < I> kind_parameter< / I > < code > )< / code > < / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 91 > Any real. num. <
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png"
ALT="$\ge 0$">< / SPAN> < / TD>
ALT="$\ge 0$">< / >
< TD ALIGN = "LEFT" > 0< / TD >
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Drop tolerance < SPAN CLASS = "MATH" > < IMG
< TD ALIGN = "LEFT" VALIGN = "TOP" WIDTH = 142 > Drop tolerance <
WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
SRC="img91.png"
ALT="$t$">< / SPAN > < SPAN CLASS = "MATH" > < IMG
ALT="$t$"> in the ILU(< IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img36.png"
ALT="$p,t$">< / SPAN > < / TD >
ALT="$p,t$">) factorization.< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" COLSPAN = 5 > < SPAN> < B> Note:< / B > defaults for
< TT > m< / TT > ld_coarse_subsolve_ are chosen as < / SPAN > < / TD >
< TR > < TD ALIGN = "LEFT" COLSPAN = 5 > < > Note:< / B > defaults for
< TT > m< / TT > ld_coarse_subsolve_ are chosen as< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" COLSPAN = 5 > < SPAN > < / SPAN > < / TD >
< TR > < TD ALIGN = "LEFT" COLSPAN = 5 > single precision version: 'SLU' if installed, 'ILU' otherwise< / TD >
< / TR >
< TR > < TD ALIGN = "LEFT" COLSPAN = 5 > < SPAN >
else 'SLU' if installed, 'ILU' otherwise< / SPAN> < / TD>
< TR > < TD ALIGN = "LEFT" COLSPAN = 5 > double precision version: 'UMF' if installed,
else 'SLU' if installed, 'ILU' otherwise< / >
< / TR >
< / TABLE >
< / DIV >
@ -603,30 +612,29 @@ level.</CAPTION>
< P >
< P >
< DIV CLASS = "navigation" > < HR >
< HR >
<!-- Navigation Panel -->
< A NAME = "tex2html28 4 "
< A NAME = "tex2html28 5 "
HREF="node19.html">
< IMG WIDTH = "37" HEIGHT = "24" ALIGN = "BOTTOM" BORDER = "0" ALT = "next" SRC = "next.png" > < / A >
< A NAME = "tex2html28 0 "
< A NAME = "tex2html28 1 "
HREF="node16.html">
< IMG WIDTH = "26" HEIGHT = "24" ALIGN = "BOTTOM" BORDER = "0" ALT = "up" SRC = "up.png" > < / A >
< A NAME = "tex2html27 4 "
< A NAME = "tex2html27 5 "
HREF="node17.html">
< IMG WIDTH = "63" HEIGHT = "24" ALIGN = "BOTTOM" BORDER = "0" ALT = "previous" SRC = "prev.png" > < / A >
< A NAME = "tex2html28 2 "
< A NAME = "tex2html28 3 "
HREF="node2.html">
< IMG WIDTH = "65" HEIGHT = "24" ALIGN = "BOTTOM" BORDER = "0" ALT = "contents" SRC = "contents.png" > < / A >
< BR >
< B > Next:< / B > < A NAME = "tex2html28 5 "
< B > Next:< / B > < A NAME = "tex2html28 6 "
HREF="node19.html">Subroutine mld_precbld< / A >
< B > Up:< / B > < A NAME = "tex2html28 1 "
< B > Up:< / B > < A NAME = "tex2html28 2 "
HREF="node16.html">User Interface< / A >
< B > Previous:< / B > < A NAME = "tex2html27 5 "
< B > Previous:< / B > < A NAME = "tex2html27 6 "
HREF="node17.html">Subroutine mld_precinit< / A >
< B > < A NAME = "tex2html28 3 "
HREF="node2.html">Contents< / A > < / B > < / DIV >
< B > < A NAME = "tex2html28 4 "
HREF="node2.html">Contents< / A > < / B >
<!-- End of Navigation Panel -->
< / BODY >
Salvatore Filippone
10 years ago
