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lapack-3.12.0.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 3.12.0</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 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);
}
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));
var div = document.createElement("div");
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");
if (!noteholder) {
return;
}
var entriesToRemove = [];
for (i = 0; i < noteholder.childNodes.length; i++) {
var entry = noteholder.childNodes[i];
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 3.12.0</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: 11/24/23.</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>
<h1 id="_support_and_questions">Support and questions:</h1>
<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>
<h1 id="_lapack_3_12_0_what_8217_s_new">LAPACK 3.12.0: What’s new</h1>
<div class="ulist"><ul>
<li>
<p>
Download: <a href="https://github.com/Reference-LAPACK/lapack/archive/refs/tags/v3.12.0.tar.gz">lapack-3.12.0.tar.gz</a>
</p>
</li>
</ul></div>
<div class="paragraph"><p>This is a major release and also addressing multiple bug fixes.</p></div>
<h1 id="_dynamic_mode_decomposition_dmd">Dynamic Mode Decomposition (DMD)</h1>
<div class="ulist"><ul>
<li>
<p>
xGEDMD computes the Dynamic Mode Decomposition (DMD) for a pair of data snapshot matrices. For the input matrices X and Y such that Y = A*X with an inaccessible matrix A, xGEDMD computes a certain number of Ritz pairs of A using the standard Rayleigh-Ritz extraction from a subspace of range(X) that is determined using the leading left singular vectors of X. Optionally, xGEDMD returns the residuals of the computed Ritz pairs, the information needed for a refinement of the Ritz vectors, or the eigenvectors of the Exact DMD.
</p>
</li>
<li>
<p>
xGEDMDQ does the same as xGEDMD but uses a QR factorization based compression of the data.
</p>
</li>
<li>
<p>
See: Z. Drmac: A LAPACK implementation of the Dynamic Mode Decomposition I. Technical report. AIMDyn Inc. and LAPACK Working Note 298.
</p>
</li>
<li>
<p>
Developed and coded by Zlatko Drmac, Faculty of Science, University of Zagreb. In cooperation with AIMdyn Inc., Santa Barbara, CA. And supported by (1) DARPA SBIR project "Koopman Operator-Based Forecasting for Nonstationary Processes from Near-Term, Limited Observational Data", Contract No: W31P4Q-21-C-0007; (2) DARPA PAI project "Physics-Informed Machine Learning Methodologies", Contract No: HR0011-18-9-0033; (3) DARPA MoDyL project "A Data-Driven, Operator-Theoretic Framework for Space-Time Analysis of Process Dynamics", Contract No: HR0011-16-C-0116. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the DARPA SBIR Program Office. Distribution Statement A: Approved for Public Release, Distribution Unlimited. Cleared by DARPA on September 29, 2022
</p>
</li>
<li>
<p>
Adding Dynamic Mode Decomposition (DMD) into LAPACK by <a href="https://github.com/dbielich">@dbielich</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/736">PR 736</a>
</p>
</li>
<li>
<p>
Update C prototypes and LAPACKE interfaces for ?GEDMD/?GEDMDQ by <a href="https://github.com/martin-frbg">@martin-frbg</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/880">PR 880</a>
</p>
</li>
</ul></div>
<h1 id="_truncated_qr_with_column_pivoting">Truncated QR with Column Pivoting</h1>
<div class="ulist"><ul>
<li>
<p>
The routine computes a truncated (rank K) or full rank Householder QR factorization with column pivoting of a real M-by-N matrix A using Level 3 BLAS.
</p>
</li>
<li>
<p>
The truncation criteria (i.e. when to stop the factorization) can be any of the following: (1) The input parameter KMAX, the maximum number of columns KMAX to factorize; (2) The input parameter ABSTOL, the absolute tolerance for the maximum column 2-norm of the residual matrix R22(K); (3) The input parameter RELTOL, the tolerance for the maximum column 2-norm matrix of the residual matrix R22(K) divided by the maximum column 2-norm of the original matrix A, which is equal to abs(R(1,1)). The algorithm stops when any of these conditions is first satisfied, otherwise the whole matrix A is factorized.
</p>
</li>
<li>
<p>
Truncated QR with Column Pivoting by <a href="https://github.com/scr2016">@scr2016</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/891">PR 891</a>
</p>
</li>
</ul></div>
<h1 id="_reciprocal_scaling_of_complex_vectors">Reciprocal Scaling of complex vectors</h1>
<div class="ulist"><ul>
<li>
<p>
[C/Z]RSCL multiplies an n-element complex vector x by the complex scalar 1/a. This is done without overflow or underflow as long as the final result x/a does not overflow or underflow.
</p>
</li>
<li>
<p>
See: "An algorithm for scaling vectors by the reciprocal of a complex number", Weslley da Silva Pereira, [arXiv:2311.05736](<a href="https://arxiv.org/abs/2311.05736">https://arxiv.org/abs/2311.05736</a>)
</p>
</li>
<li>
<p>
Adds CRSCL by <a href="https://github.com/weslleyspereira">@weslleyspereira</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/839">PR 839</a>
</p>
</li>
</ul></div>
<h1 id="_improvements_in_the_64_bit_api">Improvements in the 64-bit API</h1>
<div class="ulist"><ul>
<li>
<p>
Fix CBLAS tests with 64-bit indexing by <a href="https://github.com/svillemot">@svillemot</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/767">PR 767</a>
</p>
</li>
<li>
<p>
Add Index-64 API as extended API with _64 suffix for CBLAS by <a href="https://github.com/mkrainiuk">@mkrainiuk</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/846">PR 846</a>
</p>
</li>
<li>
<p>
Revert "Add Index-64 API as extended API with _64 suffix for CBLAS" by <a href="https://github.com/langou">@langou</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/856">PR 856</a>
</p>
</li>
<li>
<p>
Add Index-64 API as extended API with _64 suffix for CBLAS by <a href="https://github.com/mkrainiuk">@mkrainiuk</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/857">PR 867</a>
</p>
</li>
<li>
<p>
Create DOCS/CBLAS.md by <a href="https://github.com/mkrainiuk">@mkrainiuk</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/853">PR 863</a>
</p>
</li>
<li>
<p>
Reduce number of macros in fortran compilation line for BLAS _64 API by <a href="https://github.com/mkrainiuk">@mkrainiuk</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/861">PR 861</a>
</p>
</li>
</ul></div>
<h1 id="_bug_fixes_and_other_changes">Bug fixes and other changes</h1>
<div class="ulist"><ul>
<li>
<p>
Windows build fix by <a href="https://github.com/ACSimon33">@ACSimon33</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/760">PR 760</a>
</p>
</li>
<li>
<p>
Added option to enable flat namespace on macOS by <a href="https://github.com/ACSimon33">@ACSimon33</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/762">PR 762</a>
</p>
</li>
<li>
<p>
Fix bug in new test case for LAPACK 3.11 SLATRS3 by <a href="https://github.com/dklyuchinskiy">@dklyuchinskiy</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/755">PR 755</a>
</p>
</li>
<li>
<p>
Check for NaNs in *GECON by <a href="https://github.com/weslleyspereira">@weslleyspereira</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/765">PR 765</a>
</p>
</li>
<li>
<p>
Fixed bug in array bounds in complex syl01 test by <a href="https://github.com/dklyuchinskiy">@dklyuchinskiy</a>in <a href="https://github.com/Reference-LAPACK/lapack/pull/758">PR 758</a>
</p>
</li>
<li>
<p>
Fix uninitialized M when quick return in DLARRD and SLARRD by <a href="https://github.com/akobotov">@akobotov</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/769">PR 769</a>
</p>
</li>
<li>
<p>
In LAPACKE tgsen, allocate iwork when ijob = 0. Fixes #772. by <a href="https://github.com/mgates3">@mgates3</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/773">PR 773</a>
</p>
</li>
<li>
<p>
Fix SLATRS3 and CLATRS3 tests by @bartoldeman in <a href="https://github.com/Reference-LAPACK/lapack/pull/764">PR 764</a>
</p>
</li>
<li>
<p>
Fix uninitialized out variables in <strong>LARR</strong> functions by <a href="https://github.com/echeresh">@echeresh</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/775">PR 775</a>
</p>
</li>
<li>
<p>
Warnings supression in some LAPACKE functions by <a href="https://github.com/jgpallero">@jgpallero</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/780">PR 780</a>
</p>
</li>
<li>
<p>
Revert "Warnings supression in some LAPACKE functions" by <a href="https://github.com/langou">@langou</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/781">PR 781</a>
</p>
</li>
<li>
<p>
Warnings supression and deletion of unnecessary check in some LAPACKE xLARFB functions by <a href="https://github.com/jgpallero">@jgpallero</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/782">PR 782</a>
</p>
</li>
<li>
<p>
remove redundant space from xerbla call sbgv/hbgv by <a href="https://github.com/dklyuchinskiy">@dklyuchinskiy</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/792">PR 792</a>
</p>
</li>
<li>
<p>
don’t subtract N_DEFLATED from istop twice by <a href="https://github.com/thijssteel">@thijssteel</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/794">PR 794</a>
</p>
</li>
<li>
<p>
fix rfp test for DIAG = U by <a href="https://github.com/dklyuchinskiy">@dklyuchinskiy</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/796">PR 796</a>
</p>
</li>
<li>
<p>
fix bug in complex precision tests (c|z)het21 by <a href="https://github.com/EduardFedorenkov">@EduardFedorenkov</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/798">PR 798</a>
</p>
</li>
<li>
<p>
CMake: Disable TEST_FORTRAN_COMPILER by <a href="https://github.com/jschueller">@jschueller</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/761">PR 761</a>
</p>
</li>
<li>
<p>
Fix typos in documentation by <a href="https://github.com/angsch">@angsch</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/750">PR 750</a>
</p>
</li>
<li>
<p>
Add minimum permissions to workflows by <a href="https://github.com/gabibguti">@gabibguti</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/804">PR 804</a>
</p>
</li>
<li>
<p>
Add numerical tests for trevc3 by <a href="https://github.com/angsch">@angsch</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/682">PR 682</a>
</p>
</li>
<li>
<p>
Remove legacy function LABAD by <a href="https://github.com/angsch">@angsch</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/805">PR 805</a>
</p>
</li>
<li>
<p>
Refactor xGEBAL by <a href="https://github.com/eprovst">@eprovst</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/808">PR 808</a>
</p>
</li>
<li>
<p>
Fix typos and errors in comments by <a href="https://github.com/jip">@jip</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/809">PR 809</a>
</p>
</li>
<li>
<p>
cmake: allow setting a prefix for the library names by <a href="https://github.com/joseeroman">@joseeroman</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/810">PR 810</a>
</p>
</li>
<li>
<p>
Fix typos in comments by <a href="https://github.com/jip">@jip</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/811">PR 811</a>
</p>
</li>
<li>
<p>
fix #813 by <a href="https://github.com/langou">@langou</a> in <a href="https://github.com/Reference-LAPACK/lapack/pull/814">PR 814</a>
</p>
</li>
<li>
<p>