<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="Generator" content="Microsoft Word 14 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:Tahoma;
panose-1:2 11 6 4 3 5 4 4 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
margin-bottom:.0001pt;
font-size:12.0pt;
font-family:"Times New Roman","serif";}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
p
{mso-style-priority:99;
mso-margin-top-alt:auto;
margin-right:0in;
mso-margin-bottom-alt:auto;
margin-left:0in;
font-size:12.0pt;
font-family:"Times New Roman","serif";}
code
{mso-style-priority:99;
font-family:"Courier New";}
p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
{mso-style-priority:99;
mso-style-link:"Balloon Text Char";
margin:0in;
margin-bottom:.0001pt;
font-size:8.0pt;
font-family:"Tahoma","sans-serif";}
span.BalloonTextChar
{mso-style-name:"Balloon Text Char";
mso-style-priority:99;
mso-style-link:"Balloon Text";
font-family:"Tahoma","sans-serif";}
span.EmailStyle21
{mso-style-type:personal-reply;
font-family:"Calibri","sans-serif";
color:#1F497D;}
.MsoChpDefault
{mso-style-type:export-only;
font-family:"Calibri","sans-serif";}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="EN-US" link="blue" vlink="purple">
<div class="WordSection1">
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">I am seeing
<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-left:.5in"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">652 KSP Residual norm 6.568962571627e+02 % max 1.464924876151e+14 min 8.431983181754e+03 max/min 1.737343214015e+10<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:.5in"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">653 KSP Residual norm 6.562904211497e+02 % max 1.464924876151e+14 min 8.431776971754e+03 max/min 1.737385702988e+10<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">when I used<o:p></o:p></span></p>
<p class="MsoNormal" style="text-indent:.5in"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-pc_type none</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Does that indicate the Cond# is 1.7x10e10?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Jinquan<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">From:</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif""> petsc-users-bounces@mcs.anl.gov [mailto:petsc-users-bounces@mcs.anl.gov]
<b>On Behalf Of </b>Jed Brown<br>
<b>Sent:</b> Tuesday, October 23, 2012 4:38 PM<br>
<b>To:</b> PETSc users list<br>
<b>Subject:</b> Re: [petsc-users] Setting up MUMPS in PETSc<o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">On Tue, Oct 23, 2012 at 6:34 PM, Jinquan Zhong <<a href="mailto:jzhong@scsolutions.com" target="_blank">jzhong@scsolutions.com</a>> wrote:<o:p></o:p></p>
<div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><br>
That is true. I used</span></b><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-pc_type lu -pc_factor_mat_solver_package mumps -ksp_view -mat_mumps_icntl_4 2 -mat_mumps_icntl_5 0 -mat_mumps_icntl_18 3 -mat_mumps_icntl_28 2 -mat_mumps_icntl_29 2 -ksp_type gmres
-ksp_monitor_singular_value -ksp_gmres_restart 1000</span><o:p></o:p></p>
</div>
</div>
</blockquote>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Read my reply about using GMRES to estimate condition number _while_ using a preconditioner.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"> <o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Here is the info I got from the setting I had. I didn’t see the condition number appeared:</span></b><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Entering ZMUMPS driver with JOB, N, NZ = 1 894 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ZMUMPS 4.10.0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">L U Solver for unsymmetric matrices</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Type of parallelism: Working host</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">****** ANALYSIS STEP ********</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Max-trans not allowed because matrix is distributed</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Using ParMETIS for parallel ordering.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Structual symmetry is:100%</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> WARNING: Largest root node of size 173 not selected for parallel execution</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Leaving analysis phase with ...</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(1) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(2) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (20) Number of entries in factors (estim.) = 306174</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (3) Storage of factors (REAL, estimated) = 306174</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (4) Storage of factors (INT , estimated) = 7102</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (5) Maximum frontal size (estimated) = 495</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (6) Number of nodes in the tree = 66</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (32) Type of analysis effectively used = 2</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">-- (7) Ordering option effectively used = 2</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ICNTL(6) Maximum transversal option = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ICNTL(7) Pivot order option = 7</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Percentage of memory relaxation (effective) = 25</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Number of level 2 nodes = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Number of split nodes = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">RINFOG(1) Operations during elimination (estim)= 8.929D+07</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Distributed matrix entry format (ICNTL(18)) = 3</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Rank of proc needing largest memory in IC facto : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Estimated corresponding MBYTES for IC facto : 43</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Estimated avg. MBYTES per work. proc at facto (IC) : 39</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** TOTAL space in MBYTES for IC factorization : 156</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Rank of proc needing largest memory for OOC facto : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Estimated corresponding MBYTES for OOC facto : 46</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Estimated avg. MBYTES per work. proc at facto (OOC) : 41</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** TOTAL space in MBYTES for OOC factorization : 165</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Entering ZMUMPS driver with JOB, N, NZ = 2 894 263360</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">****** FACTORIZATION STEP ********</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">GLOBAL STATISTICS PRIOR NUMERICAL FACTORIZATION ...</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">NUMBER OF WORKING PROCESSES = 4</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">OUT-OF-CORE OPTION (ICNTL(22)) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">REAL SPACE FOR FACTORS = 306174</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INTEGER SPACE FOR FACTORS = 7102</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">MAXIMUM FRONTAL SIZE (ESTIMATED) = 495</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">NUMBER OF NODES IN THE TREE = 66</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Convergence error after scaling for ONE-NORM (option 7/8) = 0.31D+00</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Maximum effective relaxed size of S = 306300</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Average effective relaxed size of S = 185353</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">REDISTRIB: TOTAL DATA LOCAL/SENT = 68276 195084</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">GLOBAL TIME FOR MATRIX DISTRIBUTION = 0.0145</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Memory relaxation parameter ( ICNTL(14) ) : 25</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Rank of processor needing largest memory in facto : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Space in MBYTES used by this processor for facto : 43</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Avg. Space in MBYTES per working proc during facto : 39</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ELAPSED TIME FOR FACTORIZATION = 0.0862</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Maximum effective space used in S (KEEP8(67) = 245025</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Average effective space used in S (KEEP8(67) = 119077</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** EFF Min: Rank of processor needing largest memory : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** EFF Min: Space in MBYTES used by this processor : 42</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** EFF Min: Avg. Space in MBYTES per working proc : 37</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">GLOBAL STATISTICS
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFOG(2) OPERATIONS IN NODE ASSEMBLY = 2.372D+05</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">------(3) OPERATIONS IN NODE ELIMINATION= 8.929D+07</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG (9) REAL SPACE FOR FACTORS = 306184</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(10) INTEGER SPACE FOR FACTORS = 7104</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(11) MAXIMUM FRONT SIZE = 495</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(29) NUMBER OF ENTRIES IN FACTORS = 306184</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(12) NB OF OFF DIAGONAL PIVOTS = 29</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(13) NUMBER OF DELAYED PIVOTS = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">INFOG(14) NUMBER OF MEMORY COMPRESS = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">KEEP8(108) Extra copies IP stacking = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Entering ZMUMPS driver with JOB, N, NZ = 3 894 263360</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">****** SOLVE & CHECK STEP ********</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">STATISTICS PRIOR SOLVE PHASE ...........</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">NUMBER OF RIGHT-HAND-SIDES = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">BLOCKING FACTOR FOR MULTIPLE RHS = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ICNTL (9) = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (10) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (11) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (20) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (21) = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (30) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Rank of processor needing largest memory in solve : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Space in MBYTES used by this processor for solve : 6</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Avg. Space in MBYTES per working proc during solve : 3</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> 0 KSP Residual norm 1.890433086271e+01 % max 1.000000000000e+00 min 1.000000000000e+00 max/min 1.000000000000e+00</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Entering ZMUMPS driver with JOB, N, NZ = 3 894 263360</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">****** SOLVE & CHECK STEP ********</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">STATISTICS PRIOR SOLVE PHASE ...........</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">NUMBER OF RIGHT-HAND-SIDES = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">BLOCKING FACTOR FOR MULTIPLE RHS = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ICNTL (9) = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (10) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (11) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (20) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (21) = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (30) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Rank of processor needing largest memory in solve : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Space in MBYTES used by this processor for solve : 6</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Avg. Space in MBYTES per working proc during solve : 3</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> 1 KSP Residual norm 1.804170434909e-06 % max 1.000000180789e+00 min 1.000000180789e+00 max/min 1.000000000000e+00</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Entering ZMUMPS driver with JOB, N, NZ = 3 894 263360</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">****** SOLVE & CHECK STEP ********</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">STATISTICS PRIOR SOLVE PHASE ...........</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">NUMBER OF RIGHT-HAND-SIDES = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">BLOCKING FACTOR FOR MULTIPLE RHS = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">ICNTL (9) = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (10) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (11) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (20) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (21) = 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> --- (30) = 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Rank of processor needing largest memory in solve : 1</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Space in MBYTES used by this processor for solve : 6</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">** Avg. Space in MBYTES per working proc during solve : 3</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> 2 KSP Residual norm 4.466758995607e-13 % max 1.000000467998e+00 min 9.999992798573e-01 max/min 1.000001188141e+00</span><o:p></o:p></p>
</div>
</div>
</blockquote>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Here are your estimates of max and min singular values, and their ratio (the condition number). These are for the
<b>preconditioned operator</b>. Since you use a direct solver, it is almost exactly 1.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"> <o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">KSP Object: 4 MPI processes</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> type: gmres</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> GMRES: restart=1000, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> GMRES: happy breakdown tolerance 1e-30</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> maximum iterations=10000, initial guess is zero</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> tolerances: relative=1e-12, absolute=1e-12, divergence=10000</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> left preconditioning</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> using PRECONDITIONED norm type for convergence test</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">PC Object: 4 MPI processes</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> type: lu</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> LU: out-of-place factorization</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> tolerance for zero pivot 2.22045e-14</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> matrix ordering: natural</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> factor fill ratio given 0, needed 0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> Factored matrix follows:</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> Matrix Object: 4 MPI processes</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> type: mpiaij</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> rows=894, cols=894</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> package used to perform factorization: mumps</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> total: nonzeros=306174, allocated nonzeros=306174</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> total number of mallocs used during MatSetValues calls =0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> MUMPS run parameters:</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> SYM (matrix type): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> PAR (host participation): 1
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(1) (output for error): 6
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(2) (output of diagnostic msg): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(3) (output for global info): 6
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(4) (level of printing): 2
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(5) (input mat struct): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(6) (matrix prescaling): 7
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(7) (sequentia matrix ordering):7
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(8) (scalling strategy): 77
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(10) (max num of refinements): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(11) (error analysis): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(12) (efficiency control): 1
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(13) (efficiency control): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(14) (percentage of estimated workspace increase): 20
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(18) (input mat struct): 3
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(19) (Shur complement info): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(20) (rhs sparse pattern): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(21) (solution struct): 1
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(22) (in-core/out-of-core facility): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(23) (max size of memory can be allocated locally):0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(24) (detection of null pivot rows): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(25) (computation of a null space basis): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(26) (Schur options for rhs or solution): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(27) (experimental parameter): -8
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(28) (use parallel or sequential ordering): 2
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(29) (parallel ordering): 2
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(30) (user-specified set of entries in inv(A)): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(31) (factors is discarded in the solve phase): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> ICNTL(33) (compute determinant): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> CNTL(1) (relative pivoting threshold): 0.01
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> CNTL(2) (stopping criterion of refinement): 1.49012e-08
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> CNTL(3) (absolute pivoting threshold): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> CNTL(4) (value of static pivoting): -1
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> CNTL(5) (fixation for null pivots): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFO(1) (local estimated flops for the elimination after analysis):
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [0] 4.25638e+06
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [1] 7.22129e+07
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [2] 8.01308e+06
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [3] 4.81122e+06
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFO(2) (local estimated flops for the assembly after factorization):
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [0] 68060
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [1] 5860
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [2] 83570
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [3] 79676
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFO(3) (local estimated flops for the elimination after factorization):
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [0] 4.25638e+06
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [1] 7.2213e+07
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [2] 8.01308e+06
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [3] 4.81122e+06
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization):
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [0] 37
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [1] 43
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [2] 38
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [3] 38
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization):
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [0] 37
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [1] 43
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [2] 38
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [3] 38
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFO(23) (num of pivots eliminated on this processor after factorization):
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [0] 350
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [1] 319
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [2] 134
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> [3] 91
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFOG(1) (global estimated flops for the elimination after analysis): 8.92936e+07
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFOG(2) (global estimated flops for the assembly after factorization): 237166
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> RINFOG(3) (global estimated flops for the elimination after factorization): 8.92937e+07
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): (0,0)*(2^0)</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(3) (estimated real workspace for factors on all processors after analysis): 306174
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(4) (estimated integer workspace for factors on all processors after analysis): 7102
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(5) (estimated maximum front size in the complete tree): 495
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(6) (number of nodes in the complete tree): 66
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(7) (ordering option effectively use after analysis): 2
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): 100
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(9) (total real/complex workspace to store the matrix factors after factorization): 306184
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(10) (total integer space store the matrix factors after factorization): 7104
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(11) (order of largest frontal matrix after factorization): 495
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(12) (number of off-diagonal pivots): 29
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(13) (number of delayed pivots after factorization): 1
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(14) (number of memory compress after factorization): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(15) (number of steps of iterative refinement after solution): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(16) (estimated size (in MB) of all MUMPS internal data for factorization after analysis: value on the most memory consuming processor): 43
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): 156
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): 43
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): 156
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(20) (estimated number of entries in the factors): 306174
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): 42
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): 150
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(23) (after analysis: value of ICNTL(6) effectively used): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(24) (after analysis: value of ICNTL(12) effectively used): 1
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> INFOG(25) (after factorization: number of pivots modified by static pivoting): 0
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> linear system matrix = precond matrix:</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> Matrix Object: 4 MPI processes</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> type: mpiaij</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> rows=894, cols=894</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> total: nonzeros=263360, allocated nonzeros=263360</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> total number of mallocs used during MatSetValues calls =0</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> using I-node (on process 0) routines: found 47 nodes, limit used is 5</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">>> # of iterations: 2</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">KSPConvergedReason: 3</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;margin-left:.5in">
<span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Entering ZMUMPS driver with JOB, N, NZ = -2 894 263360</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Jinquan</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">From:</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">
<a href="mailto:petsc-users-bounces@mcs.anl.gov" target="_blank">petsc-users-bounces@mcs.anl.gov</a> [mailto:<a href="mailto:petsc-users-bounces@mcs.anl.gov" target="_blank">petsc-users-bounces@mcs.anl.gov</a>]
<b>On Behalf Of </b>Matthew Knepley<br>
<b>Sent:</b> Tuesday, October 23, 2012 4:30 PM</span><o:p></o:p></p>
<div>
<p class="MsoNormal"><br>
<b>To:</b> PETSc users list<br>
<b>Subject:</b> Re: [petsc-users] Setting up MUMPS in PETSc<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">On Tue, Oct 23, 2012 at 7:17 PM, Jinquan Zhong <<a href="mailto:jzhong@scsolutions.com" target="_blank">jzhong@scsolutions.com</a>> wrote:<o:p></o:p></p>
<div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Thanks, Jed.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Any way to get the condition number. I used
</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><code><span style="font-size:10.0pt">-ksp_type gmres -ksp_monitor_singular_value -ksp_gmres_restart 1000</span></code><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><code><span style="font-size:10.0pt"> </span></code><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">It didn’t work.</span><o:p></o:p></p>
</div>
</div>
</blockquote>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">This is not helpful. Would you understand this if someone mailed you "It didn't work"? Send the output.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> Matt<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Jinquan</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">From:</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">
<a href="mailto:petsc-users-bounces@mcs.anl.gov" target="_blank">petsc-users-bounces@mcs.anl.gov</a> [mailto:<a href="mailto:petsc-users-bounces@mcs.anl.gov" target="_blank">petsc-users-bounces@mcs.anl.gov</a>]
<b>On Behalf Of </b>Jed Brown<br>
<b>Sent:</b> Tuesday, October 23, 2012 3:28 PM<br>
<b>To:</b> PETSc users list<br>
<b>Subject:</b> Re: [petsc-users] Setting up MUMPS in PETSc</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">On Tue, Oct 23, 2012 at 5:21 PM, Jinquan Zhong <<a href="mailto:jzhong@scsolutions.com" target="_blank">jzhong@scsolutions.com</a>> wrote:<o:p></o:p></p>
<div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">That is new for me. What would you suggest, Matt?<o:p></o:p></p>
</blockquote>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Were you using LU or Cholesky before? That is the difference between -pc_type lu and -pc_type cholesky. Use -pc_factor_mat_solver_package mumps to choose MUMPS. You can access the
MUMPS options with -mat_mumps_icntl_opaquenumber.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">It looks like PETSc's Clique interface does not work in parallel. (A student was working on it recently and it seems to work in serial.) When it is fixed to work in parallel, that
is almost certainly what you should use. Alternatively, there may well be a Fast method, depending on the structure of the system and that fat dense block.<o:p></o:p></p>
</div>
</div>
</div>
</blockquote>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><br>
<br clear="all">
<o:p></o:p></p>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">--
<br>
What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>
-- Norbert Wiener<o:p></o:p></p>
</div>
</div>
</div>
</blockquote>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
</body>
</html>