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lapack-3.3.1.html
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lapack-3.3.1.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN"
"http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<meta http-equiv="Content-Type" content="application/xhtml+xml; charset=UTF-8" />
<meta name="generator" content="AsciiDoc 8.6.9" />
<title>LAPACK 3.3.1</title>
<style type="text/css">
/* Shared CSS for AsciiDoc xhtml11 and html5 backends */
/* Default font. */
body {
font-family: Georgia,serif;
}
/* Title font. */
h1, h2, h3, h4, h5, h6,
div.title, caption.title,
thead, p.table.header,
#toctitle,
#author, #revnumber, #revdate, #revremark,
#footer {
font-family: Arial,Helvetica,sans-serif;
}
body {
margin: 1em 5% 1em 5%;
}
a {
color: blue;
text-decoration: underline;
}
a:visited {
color: fuchsia;
}
em {
font-style: italic;
color: navy;
}
strong {
font-weight: bold;
color: #083194;
}
h1, h2, h3, h4, h5, h6 {
color: #527bbd;
margin-top: 1.2em;
margin-bottom: 0.5em;
line-height: 1.3;
}
h1, h2, h3 {
border-bottom: 2px solid silver;
}
h2 {
padding-top: 0.5em;
}
h3 {
float: left;
}
h3 + * {
clear: left;
}
h5 {
font-size: 1.0em;
}
div.sectionbody {
margin-left: 0;
}
hr {
border: 1px solid silver;
}
p {
margin-top: 0.5em;
margin-bottom: 0.5em;
}
ul, ol, li > p {
margin-top: 0;
}
ul > li { color: #aaa; }
ul > li > * { color: black; }
.monospaced, code, pre {
font-family: "Courier New", Courier, monospace;
font-size: inherit;
color: navy;
padding: 0;
margin: 0;
}
pre {
white-space: pre-wrap;
}
#author {
color: #527bbd;
font-weight: bold;
font-size: 1.1em;
}
#email {
}
#revnumber, #revdate, #revremark {
}
#footer {
font-size: small;
border-top: 2px solid silver;
padding-top: 0.5em;
margin-top: 4.0em;
}
#footer-text {
float: left;
padding-bottom: 0.5em;
}
#footer-badges {
float: right;
padding-bottom: 0.5em;
}
#preamble {
margin-top: 1.5em;
margin-bottom: 1.5em;
}
div.imageblock, div.exampleblock, div.verseblock,
div.quoteblock, div.literalblock, div.listingblock, div.sidebarblock,
div.admonitionblock {
margin-top: 1.0em;
margin-bottom: 1.5em;
}
div.admonitionblock {
margin-top: 2.0em;
margin-bottom: 2.0em;
margin-right: 10%;
color: #606060;
}
div.content { /* Block element content. */
padding: 0;
}
/* Block element titles. */
div.title, caption.title {
color: #527bbd;
font-weight: bold;
text-align: left;
margin-top: 1.0em;
margin-bottom: 0.5em;
}
div.title + * {
margin-top: 0;
}
td div.title:first-child {
margin-top: 0.0em;
}
div.content div.title:first-child {
margin-top: 0.0em;
}
div.content + div.title {
margin-top: 0.0em;
}
div.sidebarblock > div.content {
background: #ffffee;
border: 1px solid #dddddd;
border-left: 4px solid #f0f0f0;
padding: 0.5em;
}
div.listingblock > div.content {
border: 1px solid #dddddd;
border-left: 5px solid #f0f0f0;
background: #f8f8f8;
padding: 0.5em;
}
div.quoteblock, div.verseblock {
padding-left: 1.0em;
margin-left: 1.0em;
margin-right: 10%;
border-left: 5px solid #f0f0f0;
color: #888;
}
div.quoteblock > div.attribution {
padding-top: 0.5em;
text-align: right;
}
div.verseblock > pre.content {
font-family: inherit;
font-size: inherit;
}
div.verseblock > div.attribution {
padding-top: 0.75em;
text-align: left;
}
/* DEPRECATED: Pre version 8.2.7 verse style literal block. */
div.verseblock + div.attribution {
text-align: left;
}
div.admonitionblock .icon {
vertical-align: top;
font-size: 1.1em;
font-weight: bold;
text-decoration: underline;
color: #527bbd;
padding-right: 0.5em;
}
div.admonitionblock td.content {
padding-left: 0.5em;
border-left: 3px solid #dddddd;
}
div.exampleblock > div.content {
border-left: 3px solid #dddddd;
padding-left: 0.5em;
}
div.imageblock div.content { padding-left: 0; }
span.image img { border-style: none; vertical-align: text-bottom; }
a.image:visited { color: white; }
dl {
margin-top: 0.8em;
margin-bottom: 0.8em;
}
dt {
margin-top: 0.5em;
margin-bottom: 0;
font-style: normal;
color: navy;
}
dd > *:first-child {
margin-top: 0.1em;
}
ul, ol {
list-style-position: outside;
}
ol.arabic {
list-style-type: decimal;
}
ol.loweralpha {
list-style-type: lower-alpha;
}
ol.upperalpha {
list-style-type: upper-alpha;
}
ol.lowerroman {
list-style-type: lower-roman;
}
ol.upperroman {
list-style-type: upper-roman;
}
div.compact ul, div.compact ol,
div.compact p, div.compact p,
div.compact div, div.compact div {
margin-top: 0.1em;
margin-bottom: 0.1em;
}
tfoot {
font-weight: bold;
}
td > div.verse {
white-space: pre;
}
div.hdlist {
margin-top: 0.8em;
margin-bottom: 0.8em;
}
div.hdlist tr {
padding-bottom: 15px;
}
dt.hdlist1.strong, td.hdlist1.strong {
font-weight: bold;
}
td.hdlist1 {
vertical-align: top;
font-style: normal;
padding-right: 0.8em;
color: navy;
}
td.hdlist2 {
vertical-align: top;
}
div.hdlist.compact tr {
margin: 0;
padding-bottom: 0;
}
.comment {
background: yellow;
}
.footnote, .footnoteref {
font-size: 0.8em;
}
span.footnote, span.footnoteref {
vertical-align: super;
}
#footnotes {
margin: 20px 0 20px 0;
padding: 7px 0 0 0;
}
#footnotes div.footnote {
margin: 0 0 5px 0;
}
#footnotes hr {
border: none;
border-top: 1px solid silver;
height: 1px;
text-align: left;
margin-left: 0;
width: 20%;
min-width: 100px;
}
div.colist td {
padding-right: 0.5em;
padding-bottom: 0.3em;
vertical-align: top;
}
div.colist td img {
margin-top: 0.3em;
}
@media print {
#footer-badges { display: none; }
}
#toc {
margin-bottom: 2.5em;
}
#toctitle {
color: #527bbd;
font-size: 1.1em;
font-weight: bold;
margin-top: 1.0em;
margin-bottom: 0.1em;
}
div.toclevel0, div.toclevel1, div.toclevel2, div.toclevel3, div.toclevel4 {
margin-top: 0;
margin-bottom: 0;
}
div.toclevel2 {
margin-left: 2em;
font-size: 0.9em;
}
div.toclevel3 {
margin-left: 4em;
font-size: 0.9em;
}
div.toclevel4 {
margin-left: 6em;
font-size: 0.9em;
}
span.aqua { color: aqua; }
span.black { color: black; }
span.blue { color: blue; }
span.fuchsia { color: fuchsia; }
span.gray { color: gray; }
span.green { color: green; }
span.lime { color: lime; }
span.maroon { color: maroon; }
span.navy { color: navy; }
span.olive { color: olive; }
span.purple { color: purple; }
span.red { color: red; }
span.silver { color: silver; }
span.teal { color: teal; }
span.white { color: white; }
span.yellow { color: yellow; }
span.aqua-background { background: aqua; }
span.black-background { background: black; }
span.blue-background { background: blue; }
span.fuchsia-background { background: fuchsia; }
span.gray-background { background: gray; }
span.green-background { background: green; }
span.lime-background { background: lime; }
span.maroon-background { background: maroon; }
span.navy-background { background: navy; }
span.olive-background { background: olive; }
span.purple-background { background: purple; }
span.red-background { background: red; }
span.silver-background { background: silver; }
span.teal-background { background: teal; }
span.white-background { background: white; }
span.yellow-background { background: yellow; }
span.big { font-size: 2em; }
span.small { font-size: 0.6em; }
span.underline { text-decoration: underline; }
span.overline { text-decoration: overline; }
span.line-through { text-decoration: line-through; }
div.unbreakable { page-break-inside: avoid; }
/*
* xhtml11 specific
*
* */
div.tableblock {
margin-top: 1.0em;
margin-bottom: 1.5em;
}
div.tableblock > table {
border: 3px solid #527bbd;
}
thead, p.table.header {
font-weight: bold;
color: #527bbd;
}
p.table {
margin-top: 0;
}
/* Because the table frame attribute is overriden by CSS in most browsers. */
div.tableblock > table[frame="void"] {
border-style: none;
}
div.tableblock > table[frame="hsides"] {
border-left-style: none;
border-right-style: none;
}
div.tableblock > table[frame="vsides"] {
border-top-style: none;
border-bottom-style: none;
}
/*
* html5 specific
*
* */
table.tableblock {
margin-top: 1.0em;
margin-bottom: 1.5em;
}
thead, p.tableblock.header {
font-weight: bold;
color: #527bbd;
}
p.tableblock {
margin-top: 0;
}
table.tableblock {
border-width: 3px;
border-spacing: 0px;
border-style: solid;
border-color: #527bbd;
border-collapse: collapse;
}
th.tableblock, td.tableblock {
border-width: 1px;
padding: 4px;
border-style: solid;
border-color: #527bbd;
}
table.tableblock.frame-topbot {
border-left-style: hidden;
border-right-style: hidden;
}
table.tableblock.frame-sides {
border-top-style: hidden;
border-bottom-style: hidden;
}
table.tableblock.frame-none {
border-style: hidden;
}
th.tableblock.halign-left, td.tableblock.halign-left {
text-align: left;
}
th.tableblock.halign-center, td.tableblock.halign-center {
text-align: center;
}
th.tableblock.halign-right, td.tableblock.halign-right {
text-align: right;
}
th.tableblock.valign-top, td.tableblock.valign-top {
vertical-align: top;
}
th.tableblock.valign-middle, td.tableblock.valign-middle {
vertical-align: middle;
}
th.tableblock.valign-bottom, td.tableblock.valign-bottom {
vertical-align: bottom;
}
/*
* manpage specific
*
* */
body.manpage h1 {
padding-top: 0.5em;
padding-bottom: 0.5em;
border-top: 2px solid silver;
border-bottom: 2px solid silver;
}
body.manpage h2 {
border-style: none;
}
body.manpage div.sectionbody {
margin-left: 3em;
}
@media print {
body.manpage div#toc { display: none; }
}
</style>
<script type="text/javascript">
/*<+'])');
// Function that scans the DOM tree for header elements (the DOM2
// nodeIterator API would be a better technique but not supported by all
// browsers).
var iterate = function (el) {
for (var i = el.firstChild; i != null; i = i.nextSibling) {
if (i.nodeType == 1 /* Node.ELEMENT_NODE */) {
var mo = re.exec(i.tagName);
if (mo && (i.getAttribute("class") || i.getAttribute("className")) != "float") {
result[result.length] = new TocEntry(i, getText(i), mo[1]-1);
}
iterate(i);
}
}
}
iterate(el);
return result;
}
var toc = document.getElementById("toc");
if (!toc) {
return;
}
// Delete existing TOC entries in case we're reloading the TOC.
var tocEntriesToRemove = [];
var i;
for (i = 0; i < toc.childNodes.length; i++) {
var entry = toc.childNodes[i];
if (entry.nodeName.toLowerCase() == 'div'
&& entry.getAttribute("class")
&& entry.getAttribute("class").match(/^toclevel/))
tocEntriesToRemove.push(entry);
}
for (i = 0; i < tocEntriesToRemove.length; i++) {
toc.removeChild(tocEntriesToRemove[i]);
}
// Rebuild TOC entries.
var entries = tocEntries(document.getElementById("content"), toclevels);
for (var i = 0; i < entries.length; ++i) {
var entry = entries[i];
if (entry.element.id == "")
entry.element.id = "_toc_" + i;
var a = document.createElement("a");
a.href = "#" + entry.element.id;
a.appendChild(document.createTextNode(entry.text));
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div.appendChild(a);
div.className = "toclevel" + entry.toclevel;
toc.appendChild(div);
}
if (entries.length == 0)
toc.parentNode.removeChild(toc);
},
/////////////////////////////////////////////////////////////////////
// Footnotes generator
/////////////////////////////////////////////////////////////////////
/* Based on footnote generation code from:
* http://www.brandspankingnew.net/archive/2005/07/format_footnote.html
*/
footnotes: function () {
// Delete existing footnote entries in case we're reloading the footnodes.
var i;
var noteholder = document.getElementById("footnotes");
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return;
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if (entry.nodeName.toLowerCase() == 'div' && entry.getAttribute("class") == "footnote")
entriesToRemove.push(entry);
}
for (i = 0; i < entriesToRemove.length; i++) {
noteholder.removeChild(entriesToRemove[i]);
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<body class="article">
<div id="header">
<h1>LAPACK 3.3.1</h1>
</div>
<div id="content">
<div id="preamble">
<div class="sectionbody">
<div class="paragraph"><p>Release date: Mo 04/18/2011.</p></div>
<div class="paragraph"><p>This material is based upon work supported by the National Science Foundation
and the Department of Energy under Grant No. NSF-OCI-1032861 (2010-2013 est.),
NSF-CCF-00444486 (2005-2008 est.), NSF-CNS-0325873 (2004-2009 est.),
NSF-EIA-0122599 (2001-2004 est.), NSF-ACI-0090127, DOE-DE-FC02-01ER25478,
DOE-DE-FC02-06ER25768.</p></div>
<div class="paragraph"><p>LAPACK is a software package provided by Univ. of Tennessee, Univ. of
California Berkeley, Univ. of Colorado Denver and NAG Ltd.</p></div>
</div>
</div>
<div class="sect1">
<h2 id="_1_support_and_questions">1. Support and questions:</h2>
<div class="sectionbody">
<div class="paragraph"><p><a href="http://icl.cs.utk.edu/lapack-forum/">http://icl.cs.utk.edu/lapack-forum/</a></p></div>
</div>
</div>
<div class="sect1">
<h2 id="_2_lapack_3_3_1_what_8217_s_new">2. LAPACK 3.3.1: What’s new</h2>
<div class="sectionbody">
<div class="sidebarblock">
<div class="content">
<div class="title">IMPORTANT</div>
<div class="paragraph"><p>This is just a <strong>BUG FIX release</strong> and also we tried to improve the <strong>CMAKE build system</strong>.</p></div>
</div></div>
</div>
</div>
<div class="sect1">
<h2 id="_3_external_contributors">3. External Contributors</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
Chuck Atkins and Brad King (Kitware, Inc)
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_4_thanks">4. Thanks</h2>
<div class="sectionbody">
<div class="ulist"><div class="title">Thanks for bug-report/patches/suggestions to:</div><ul>
<li>
<p>
Nadezhda Mozartova (Intel, USA)
</p>
</li>
<li>
<p>
Alexander Kobotov (Intel, USA)
</p>
</li>
<li>
<p>
John Tellefson (Salina, KS, USA)
</p>
</li>
<li>
<p>
Inge Gutheil (Juelich Supercomputing Centre, Germany)
</p>
</li>
<li>
<p>
Christof Voemel
</p>
</li>
<li>
<p>
Paul Roberts (NAG, UK)
</p>
</li>
<li>
<p>
Pat Quillen (Mathworks, USA)
</p>
</li>
<li>
<p>
Michael Chuvelev (Intel, USA)
</p>
</li>
<li>
<p>
Vasile Sima (National Institute for Research & Development in Informatics, Romania)
</p>
</li>
<li>
<p>
Clint Whaley (University of Texas at San Antonio, USA)
</p>
</li>
<li>
<p>
Allin Cottrell (Wake Forest University, USA)
</p>
</li>
</ul></div>
<div class="ulist"><div class="title">and our users of the LAPACK forum:</div><ul>
<li>
<p>
squartz
</p>
</li>
<li>
<p>
fabioaffinito
</p>
</li>
<li>
<p>
sarnath
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_5_developer_list">5. Developer list</h2>
<div class="sectionbody">
<div class="ulist"><div class="title">Principal Investigators</div><ul>
<li>
<p>
Jim Demmel (University of California at Berkeley, USA)
</p>
</li>
<li>
<p>
Jack Dongarra (University of Tennessee and ORNL, USA)
</p>
</li>
<li>
<p>
Julien Langou (University of Colorado Denver, USA)
</p>
</li>
</ul></div>
<div class="ulist"><div class="title">LAPACK developers involved in this release</div><ul>
<li>
<p>
Julie Langou (University of Tennessee, USA)
</p>
</li>
<li>
<p>
Rodney James (University of Colorado Denver, USA)
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_6_improvment_to_the_cmake_build">6. Improvment to the CMAKE build</h2>
<div class="sectionbody">
<div class="ulist"><div class="title">Here’s a summary of the CMake changes:</div><ul>
<li>
<p>
Added a FindBLAS module to easily search for and link against various optimized BLAS implementations
</p>
</li>
<li>
<p>
Added proper default compiler flags for various commercial Fortran compilers
</p>
</li>
<li>
<p>
Check for and disable SIGFPE handlers (LAPACK code handles these internally) on known compilers
</p>
</li>
<li>
<p>
Remove testing drivers and BLAS source from nightly code coverage to get a more accurate representation of the LAPACK code getting exercised
</p>
</li>
<li>
<p>
Suppress harmless warning messages for various platforms and compilers
</p>
</li>
<li>
<p>
Added 28 nightly builds (<a href="http://my.cdash.org/index.php?project=LAPACK">http://my.cdash.org/index.php?project=LAPACK</a>)
</p>
</li>
<li>
<p>
Standardized binary output locations to play nicely when building Windows DLLs
</p>
</li>
<li>
<p>
Cleaned up CMake packaging to allow find_package(LAPACK) in applications
</p>
</li>
<li>
<p>
Added missing link dependencies for test libraries
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_7_level_3_blas_hermitian_indefinite_inversion_this_enables_better_performance_for_chetri_and_zhetri">7. Level-3 BLAS hermitian indefinite inversion: This enables better performance for CHETRI and ZHETRI.</h2>
<div class="sectionbody">
<div class="paragraph"><div class="title">lapacker</div><p>Julie Langou</p></div>
<div class="paragraph"><div class="title">contribution</div><p>Level-3 BLAS hermitian indefinite inversion (CHETRI and ZHETRI).
See <a href="lapack-3.3.0.html">Release 3.3.0 section 6.2 for more details</a></p></div>
</div>
</div>
<div class="sect1">
<h2 id="_8_bug_fix">8. Bug Fix</h2>
<div class="sectionbody">
</div>
</div>
<div class="sect1">
<h2 id="_strong_span_class_green_bug0078_span_strong_dbdsdc_problem_with_orthogonality_of_u_in_certain_cases"><strong><span class="green">bug0078</span></strong> :: DBDSDC problem with orthogonality of U in certain cases</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
bug report sent by duncanpo on April 4th 2011
</p>
</li>
<li>
<p>
see forum topic 2326
</p>
</li>
<li>
<p>
decreased EPS by a factor of 0.9 to correct problem with orthogonality of U in certain cases
</p>
</li>
<li>
<p>
corrected by Rodney on Tue April 7th 2011
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_strong_span_class_green_bug0077_span_strong_ds_gesvd_minimum_worksize_comments_need_clarification"><strong><span class="green">bug0077</span></strong> :: [DS]GESVD Minimum Worksize comments need clarification</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
bug report sent by squartz on Sep 19th
</p>
</li>
<li>
<p>
see forum topic 2011
</p>
</li>
<li>
<p>
corrected by Julie on Tue April 5th 2011