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lapack-3.10.1.html
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<?xml version="1.0" encoding="UTF-8"?>
<!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 10.1.1" />
<title>LAPACK 3.10.1</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;
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div.quoteblock, div.verseblock {
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margin-left: 1.0em;
margin-right: 10%;
border-left: 5px solid #f0f0f0;
color: #888;
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div.quoteblock > div.attribution {
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div.verseblock > pre.content {
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font-size: inherit;
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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 overridden 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);
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for (i = 0; i < tocEntriesToRemove.length; i++) {
toc.removeChild(tocEntriesToRemove[i]);
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// 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 == "")
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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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entriesToRemove.push(entry);
}
for (i = 0; i < entriesToRemove.length; i++) {
noteholder.removeChild(entriesToRemove[i]);
}
// Rebuild footnote entries.
var cont = document.getElementById("content");
var spans = cont.getElementsByTagName("span");
var refs = {};
var n = 0;
for (i=0; i<spans.length; i++) {
if (spans[i].className == "footnote") {
n++;
var note = spans[i].getAttribute("data-note");
if (!note) {
// Use [\s\S] in place of . so multi-line matches work.
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<body class="article">
<div id="header">
<h1>LAPACK 3.10.1</h1>
<div id="toc">
<div id="toctitle">Table of Contents</div>
<noscript><p><b>JavaScript must be enabled in your browser to display the table of contents.</b></p></noscript>
</div>
</div>
<div id="content">
<div id="preamble">
<div class="sectionbody">
<div class="paragraph"><p>Release date: 04/12/22.</p></div>
<div class="paragraph"><p>This material is based upon work supported by the National Science Foundation
and the Department of Energy.</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 class="paragraph"><p><a href="https://github.com/Reference-LAPACK/lapack/">https://github.com/Reference-LAPACK/lapack/</a></p></div>
</div>
</div>
<div class="sect1">
<h2 id="_2_lapack_3_10_1_what_8217_s_new">2. LAPACK 3.10.1: What’s new</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
Download: <a href="https://github.com/Reference-LAPACK/lapack/archive/refs/tags/v3.10.1.tar.gz">lapack-3.10.1.tar.gz</a>
</p>
</li>
</ul></div>
<div class="paragraph"><p>This is a minor release addressing multiple bug fixes and improvements.</p></div>
</div>
</div>
<div class="sect1">
<h2 id="_2_1_principal_bug_fixes">2.1. Principal Bug fixes</h2>
<div class="sectionbody">
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/657">657</a>: Fix workspace size returned by getsls</div><p><strong>Description:</strong> Make least squares solver getsls work as a drop-in replacement of gels
- [dz]getsls: cast workspace size with dble, not real
- Move workspace write to precede xerbla. Follow the documentation and return the optimal workspace in work(1) even on quick return</p></div>
<div class="paragraph"><p>Clean up unused variables.</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/angsch">angsch</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/654">654</a>, <a href="https://github.com/Reference-LAPACK/lapack/pull/656">656</a>, <a href="https://github.com/Reference-LAPACK/lapack/pull/646">646</a>: Fix some argument checks</div><p><strong>Description:</strong> Various argument check and typo corrections</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/angsch">angsch</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/649">649</a>: Fix a bug in the Blue’s scaling constants</div><p><strong>Description:</strong> Fixes a bug in the Blue’s scaling constants of nrm2 thanks to Arm Performance Libraries!
This is the same bug fixed on #559 for la_constants.f90.</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/weslleyspereira">Weslley S. Pereira</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/638">638</a>: Fix workspace query of xGEQRF and xGERQF</div><p><strong>Description:</strong> xGEQRF and xGERQF return wrong optimal dimension LWORK when M and N equals zero, respectively. This applies the fixes proposed by @andreasvarga and @VasileSima4 in <a href="https://github.com/Reference-LAPACK/lapack/pull/633">PR
#633</a>.</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/andreasvarga">Andreas Varga</a> and <a href="https://github.com/VasileSima4">Vasile Sima</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/625">625</a>: Fix out of bounds read in xLARRV which resolves CVE-2021-4048</div><p><strong>Description:</strong> See <a href="https://nvd.nist.gov/vuln/detail/CVE-2021-4048">CVE-2021-4048</a></p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/Keno">Keno Fischer</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/624">624</a>: Fix use of 8-byte integers on Windows</div><p><strong>Description:</strong> CBLAS and LAPACKE layers are not built with 8 byte integers when cmake option BUILD_INDEX64=ON is passed.
The reason is because long’s in windows are 4 bytes (MSVC c/c++, intel compilers). This patch uses int64_t and int32_t
to ensure ILP interface is built.</p></div>
<div class="paragraph"><p>Additionally, this patch adds support ifort’s 8 byte integer flag to cmake system for building BLAS and LAPACK.</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/ericlars">Eric Lars</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/621">621</a>: Fix support to IBM XL Fortran compiler</div><p><strong>Description:</strong> This PR addresses <a href="https://github.com/Reference-LAPACK/lapack/issues/606">Issue #606</a>, by adding correct detection for the IBM XL Fortran (xlf) recursive option (-qrecur).</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/quellyn">QuellynSnead</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/617">617</a>: Fix use of integer64 flag for Cray and NVIDIA Fortran compilers</div><p><strong>Description:</strong> use default64 flag for Cray ftn compiler when BUILD_INDEX64 is ON.</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/ajaypanyala">Ajay Panyala</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/607">607</a>: Fix xLAPY2 and xLAPY3 for infinity inputs</div><p><strong>Description:</strong> If some of the inputs are inf, {s,d}lapy{2,3} and the new {s,d}nrm2 routines return inconsistent results, NaN in contrast to inf.</p></div>
<div class="ulist"><ul>
<li>
<p>
lapy2 if both inputs are inf
</p>
</li>
<li>
<p>
lapy3 if at least one of the 3 inputs is inf
</p>
</li>
</ul></div>
<div class="paragraph"><p>This commit adds a check to avoid the divisions inf / inf that introduce NaN.</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/angsch">angsch</a></p></div>
<div class="paragraph"><div class="title">Pull Request <a href="https://github.com/Reference-LAPACK/lapack/pull/605">605</a>: Fix workspace computation for GESDD routines</div><p><strong>Description:</strong> There is a known bug in LAPACK related to workspaces smaller than the value computed by the routine. This is because the routines use a floating-point variable to return the integer workspace size. See <a href="https://github.com/Reference-LAPACK/lapack/issues/600">Issue #600</a>. The intent here is to mitigate the problem of overestimating the workspace when doing the conversion INTEGER → REAL (or DOUBLE PRECISION) highlighted in #600. I do not solve the problem of a possible overflow in LWORK.</p></div>
<div class="paragraph"><p>This PR applies the same strategy from the MAGMA package to solve the issue (See <a href="https://github.com/Reference-LAPACK/lapack/issues/600#issuecomment-884426097">Isse #600 (comment) from @mgates3</a>).</p></div>
<div class="paragraph"><p><strong>Contribution by:</strong> <a href="https://github.com/mgates3">Mark Gates</a></p></div>
</div>
</div>
<div class="sect1">
<h2 id="_2_2_build_improvements">2.2 Build Improvements</h2>
<div class="sectionbody">
<div class="paragraph"><div class="title"><a href="https://github.com/Reference-LAPACK/lapack/pull/570">Pull Request 570</a></div><p>Deprecate xCOMBSSQ and use xLASSQ directly</p></div>
<div class="paragraph"><div class="title"><a href="https://github.com/Reference-LAPACK/lapack/pull/637">Pull Request 637</a> and <a href="https://github.com/Reference-LAPACK/lapack/pull/616">Pull Request 616</a></div><p>Improve build and installation via CMake</p></div>
<div class="paragraph"><div class="title"><a href="https://github.com/Reference-LAPACK/lapack/pull/588">Pull Request 588</a></div><p>Use CBLAS_INDEX and CBLAS_INT integer types in CBLAS as in previous versions of LAPACK</p></div>
</div>
</div>
<div class="sect1">
<h2 id="_2_3_all_bug_fixes_and_improvements">2.3 All Bug fixes and Improvements</h2>
<div class="sectionbody">
<div class="paragraph"><p>For details please see our Github repository</p></div>
<div class="ulist"><ul>
<li>
<p>
<a href="https://github.com/Reference-LAPACK/lapack">LAPACK Github Repository</a>
</p>
</li>
<li>
<p>
<a href="https://github.com/Reference-LAPACK/lapack/issues?q=is%3Aclosed+milestone%3A%22LAPACK+3.10.1">LAPACK 3.10.1 Milestone</a>
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_2_6_notes_about_compiler_dependency">2.6 Notes about compiler dependency</h2>
<div class="sectionbody">
<div class="paragraph"><p>Some LAPACK routines rely on trustworthy complex division and ABS routines in the FORTRAN compiler.
This <a href="https://github.com/Reference-LAPACK/lapack/files/6672436/complexDivisionFound.txt">link</a> lists the LAPACK COMPLEX*16 algorithms that contain compiler dependent complex divisions of the form</p></div>
<div class="literalblock">
<div class="content">
<pre><code>REAL / COMPLEX or COMPLEX / COMPLEX</code></pre>
</div></div>
<div class="paragraph"><p>See <a href="https://github.com/Reference-LAPACK/lapack/issues/575">Issue #575</a> and <a href="https://github.com/Reference-LAPACK/lapack/issues/577">Issue #577</a> for a more complete discussion on this topic.</p></div>
</div>
</div>
<div class="sect1">
<h2 id="_3_developer_list">3. Developer list</h2>
<div class="sectionbody">
<div class="ulist"><div class="title">LAPACK developers involved in this release</div><ul>
<li>
<p>
Weslley da Silva Pereira (University of Colorado Denver, USA)
</p>
</li>
<li>
<p>
Julie Langou (University of Tennessee, USA)
</p>
</li>
</ul></div>
<div class="ulist"><div class="title">Principal Investigators</div><ul>
<li>
<p>
Jim Demmel (University of California, 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>
</div>
<div class="sect1">
<h2 id="_4_thanks">4. Thanks</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
MathWorks: Penny Anderson, Mary Ann Freeman, Bobby Cheng,
Pat Quillen, Christine Tobler, Heiko Weichelt.
</p>
</li>
<li>
<p>
GitHub Users:
<a href="https://github.com/angsch">angsch</a>,
<a href="https://github.com/jip">jip</a>,
<a href="https://github.com/ajaypanyala">Ajay Panyala</a>,
<a href="https://github.com/isuruf">Isuru Fernando</a>,
<a href="https://github.com/christoph-conrads">Christoph Conrads</a>
<a href="https://github.com/nakatamaho">Nakata Maho</a>,
<a href="https://github.com/quellyn">QuellynSnead</a>,
<a href="https://github.com/svillemot">Sebastien Villemot</a>,
<a href="https://github.com/mathstuf">Ben Boeckel</a>,
<a href="https://github.com/Keno">Keno Fisher</a>,
<a href="https://github.com/bjack205">Brian Jackson</a>,
<a href="https://github.com/ericlars">Eric Lars</a>
</p>
</li>
</ul></div>
<div class="paragraph"><p>Github contribution details <a href="https://github.com/Reference-LAPACK/lapack/graphs/contributors?from=2021-06-27&to=2022-04-12&type=c">here</a></p></div>
</div>
</div>
<div class="sect1">
<h2 id="_5_bug_fix">5. Bug Fix</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
<a href="https://github.com/Reference-LAPACK/lapack/milestone/6?closed=1">Closed bugs</a>
</p>
</li>
<li>
<p>
<a href="https://github.com/Reference-LAPACK/lapack/issues?utf8=✓&q=is%3Aissue%20is%3Aopen%20label%3A%22Type%3A%20Bug%22%20">Open bugs</a>
</p>
</li>
<li>
<p>
<a href="https://github.com/Reference-LAPACK/lapack/issues">All open issues</a>
</p>
</li>
</ul></div>
</div>
</div>
</div>
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