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lapack-3.6.1.html
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lapack-3.6.1.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 3.6.1</title>
<style type="text/css">
/* Shared CSS for AsciiDoc xhtml11 and html5 backends */
/* Default font. */
body {
font-family: Georgia,serif;
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/* Title font. */
h1, h2, h3, h4, h5, h6,
div.title, caption.title,
thead, p.table.header,
#toctitle,
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#footer {
font-family: Arial,Helvetica,sans-serif;
}
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margin: 1em 5% 1em 5%;
}
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color: blue;
text-decoration: underline;
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color: fuchsia;
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color: navy;
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color: #083194;
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margin-left: 0;
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margin-bottom: 0.5em;
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margin-top: 0;
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font-size: inherit;
color: navy;
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margin: 0;
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pre {
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color: #527bbd;
font-weight: bold;
font-size: 1.1em;
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}
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margin-bottom: 1.5em;
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div.quoteblock, div.literalblock, div.listingblock, div.sidebarblock,
div.admonitionblock {
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margin-bottom: 1.5em;
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margin-top: 2.0em;
margin-bottom: 2.0em;
margin-right: 10%;
color: #606060;
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div.content { /* Block element content. */
padding: 0;
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color: #527bbd;
font-weight: bold;
text-align: left;
margin-top: 1.0em;
margin-bottom: 0.5em;
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td div.title:first-child {
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span.image img { border-style: none; vertical-align: text-bottom; }
a.image:visited { color: white; }
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dt {
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div.colist td img {
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#footer-badges { display: none; }
}
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font-size: 1.1em;
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margin-top: 1.0em;
margin-bottom: 0.1em;
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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; }
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span.black-background { background: black; }
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span.red-background { background: red; }
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span.teal-background { background: teal; }
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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"] {
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border-right-style: none;
}
div.tableblock > table[frame="vsides"] {
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/*
* html5 specific
*
* */
table.tableblock {
margin-top: 1.0em;
margin-bottom: 1.5em;
}
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color: #527bbd;
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border-spacing: 0px;
border-style: solid;
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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;
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}
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;
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th.tableblock.valign-middle, td.tableblock.valign-middle {
vertical-align: middle;
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th.tableblock.valign-bottom, td.tableblock.valign-bottom {
vertical-align: bottom;
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/*
* manpage specific
*
* */
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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>
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/////////////////////////////////////////////////////////////////////
// Footnotes generator
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<body class="article">
<div id="header">
<h1>LAPACK 3.6.1</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: 06/16.</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, NSF-CCF-00444486,
NSF-CNS 0325873, NSF-EIA 0122599, 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_thanks">2. Thanks</h2>
<div class="sectionbody">
<div class="paragraph"><p>Thanks for bug-report/patches/suggestions to:</p></div>
<div class="paragraph"><p>Forum users:</p></div>
</div>
</div>
<div class="sect1">
<h2 id="_3_lapack_3_6_1_what_8217_s_new">3. LAPACK 3.6.1: What’s new</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
[Mark Gates, UTK] <strong>blocked back-transformation for the non-symmetric eigenvalue problem</strong>
</p>
</li>
</ul></div>
<div class="paragraph"><p>It blocks NB gemv calls into one gemm call inside trevc.
To do that, it needs a new routine, trevc3, because unfortunately the lwork was not passed into trevc.
Attached is the performance speedup for dgeev. It gives a nice 1.5x speedup for N=20000, and that appears to still be increasing with N.
This is not the improvements that Greg Henry recently provided for doing the triangular solves as BLAS-3 instead of BLAS-1.
That will take a while to process, but we expect another, even larger increase in performance when those changes are applied.
This also does not include doing multiple (BLAS-1) triangular solves in parallel, which is available in MAGMA, since that requires OpenMP or pthreads.</p></div>
<div class="paragraph"><p>Added:</p></div>
<div class="literalblock">
<div class="content">
<pre><code>SRC/strevc3.f
SRC/dtrevc3.f
SRC/ctrevc3.f
SRC/ztrevc3.f</code></pre>
</div></div>
<div class="paragraph"><p>Modified:</p></div>
<div class="literalblock">
<div class="content">
<pre><code>SRC/sgeev.f
SRC/dgeev.f
SRC/cgeev.f
SRC/zgeev.f
SRC/sgeevx.f
SRC/dgeevx.f
SRC/cgeevx.f
SRC/zgeevx.f</code></pre>
</div></div>
</div>
</div>
<div class="sect1">
<h2 id="_3_external_contributors">3. External Contributors</h2>
<div class="sectionbody">
</div>
</div>
<div class="sect1">
<h2 id="_4_thanks">4. Thanks</h2>
<div class="sectionbody">
<div class="ulist"><ul>
<li>
<p>
Edward Smyth (NAG): r1683, r1684
</p>
</li>
<li>
<p>
Tim Hopkins (University of Kent): r1734, r1735, r1764, r1765, r1766, r1764, r1765, r1766
</p>
</li>
<li>
<p>
Eugene Chereshnev (Intel): r1670, r1737, r1759, r1760, r1761, r1762, r1763
</p>
</li>
<li>
<p>
Dmitry Baksheev (Intel): r1686, r1687, r1689-r1730
</p>
</li>
<li>
<p>
Alex Zotkevich (Intel): r1755, r1756, r1757, r1758
</p>
</li>
<li>
<p>
Nathan Whitehead: r1740, r1742, r1744
</p>
</li>
<li>
<p>
Lawrence Mulholland (NAG): r1649, r1654, r1655, r1656, r1688, r1746
</p>
</li>
<li>
<p>
Orion Poplawski (NWRA): r1653, r1751, r1754
</p>
</li>
<li>
<p>
Vladimir Chalupecky: r1752
</p>
</li>
<li>
<p>
Pavel Holoborodko: r1648
</p>
</li>
<li>
<p>
Julien Schueller: r1650, r1651, r1748, r1749
</p>
</li>
<li>
<p>
Mathieu Faverge: r1658, r1662, r1663
</p>
</li>
<li>
<p>
Martin Köhler Max Planck Institute for Dynamics of Complex Technical Systems): r1660
</p>
</li>
<li>
<p>
Tracey Brendan: r1667, r1668
</p>
</li>
<li>
<p>
Andreas Noack (MIT): 1669
</p>
</li>
<li>
<p>
Berend Hasselman: r1671
</p>
</li>
<li>
<p>
Sébastien Villemot: r1672, r1733
</p>
</li>
<li>
<p>
Christoph Conrads: r1673
</p>
</li>
<li>
<p>
Elena Ivanova (Oracle): r1674, r1675, r1676
</p>
</li>
<li>
<p>
David Vowles: r1677, r1679
</p>
</li>
<li>
<p>
Viswanathan Elumalai (University of Pittsburgh): r1681
</p>
</li>
<li>
<p>
Mark Gates: r1739, r1750
</p>
</li>
<li>
<p>
nathanw: r1740
</p>
</li>
<li>
<p>
Nathan Whitehead: r1742, r1744
</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, 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>
Osni Marques (University of California, Berkeley, USA)
</p>
</li>
<li>
<p>
Lawrence Mulholland (NAG Ltd.)
</p>
</li>
<li>
<p>
Mark Gates (University of Tennessee, USA)
</p>
</li>
<li>
<p>
Igor Kozachenko (University of California, Berkeley, USA)
</p>
</li>
</ul></div>
</div>
</div>
<div class="sect1">
<h2 id="_6_more_details">6. More details</h2>
<div class="sectionbody">
</div>
</div>
<div class="sect1">
<h2 id="_7_bug_fix">7. Bug Fix</h2>
<div class="sectionbody">
<div class="paragraph"><p><a href="errata_from_360_to_361.html">see here</a></p></div>
</div>
</div>
</div>
<div id="footnotes"><hr /></div>
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<div id="footer-text">