Document Zbl 0755.65028

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The <strong>and-operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b & au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; <strong>b</strong>: book; <strong>a</strong>: book article)</td> </tr> </table> </div> <div id="help-operators"> <h2>Operators</h2> <table> <tr> <td class="nowrap padding" role="rowheader">a <strong>&</strong> b</td> <td class="padding">logic and</td> </tr> <tr> <td class="nowrap padding" role="rowheader">a <strong>|</strong> b</td> <td class="padding">logic or</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>!</strong>ab</td> <td class="padding">logic not</td> </tr> <tr> <td class="nowrap padding" role="rowheader">abc<strong>*</strong></td> <td class="padding">right wildcard</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>"</strong>ab c<strong>"</strong></td> <td class="padding">phrase</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>(</strong>ab c<strong>)</strong></td> <td class="padding">parentheses</td> </tr> </table> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main"> <div class="content-item"><div class="item"> <article> <div class="author"><a href="/authors/?q=ai%3Aanderson.e-i%7Canderson.eric-c%7Canderson.eugene-w%7Canderson.elizabeth%7Canderson.edwin%7Canderson.eric-t%7Canderson.evan-w%7Canderson.evan-e%7Canderson.eric-j%7Canderson.edward%7Canderson.erin%7Canderson.edmund-h%7Canderson.erik-j%7Canderson.e-clay%7Canderson.e-r" title="Author Profile">Anderson, E.</a>; <a href="/authors/bai.zhaojun" title="Author Profile">Bai, Z.</a>; <a href="/authors/bischof.christian-h" title="Author Profile">Bischof, C.</a></div> <h2 class="title"> <strong>LAPACK users’ guide.</strong> <i>(English)</i> <a class="label nowrap" href="/0755.65028">Zbl 0755.65028</a> </h2> <div class="source"> Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xv, 235 p. (1992). </div> <div class="abstract">LAPACK represents a transportable library of FORTRAN 77 routines devoted to the usual linear algebra problems. It was designed as a successor of the popular packages LINPACK and EISPACK, integrating these two packages into a unified one and adding some new algorithms or restructuring some of the old versions. At the same time LAPACK aims to increase the software efficiency by using recent facilities such as: vector processors, high-performance “superscalar” workstations, shared memory multiprocessors.<br class="zbmathjax-paragraph">The book is organized in seven chapters : l. Essentials; 2. Contents of LAPACK; 3. Perfomance of LAPACK; 4. Accuracy and stability, 5. Documentation and software conventions; 6. Installing LAPACK routines; 7. Troubleshooting, and five annexes: A. Index of driver and computational routines; B. Index of auxiliary routines; C. Quick reference guide to the BLAS; D. Converting from LINPACK or EISPACK; E. LAPACK working notes.<br class="zbmathjax-paragraph">A separate section (102 pages) gives complete specifications for calling LAPACK routines.<div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1918">O.Pastravanu (Ia艧i)</a></div> <div class="clearfix"></div></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A53686">Cited in <strong>4</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A53686">Cited in <strong>107</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A65Fxx" title="MSC2020">65Fxx</a> </td> <td class="space"> Numerical linear algebra </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65Yxx" title="MSC2020">65Yxx</a> </td> <td class="space"> Computer aspects of numerical algorithms </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65-00" title="MSC2020">65-00</a> </td> <td class="space"> General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A15-04" title="MSC2020">15-04</a> </td> <td class="space"> Software, source code, etc. for problems pertaining to linear algebra </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68-00" title="MSC2020">68-00</a> </td> <td class="space"> General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to computer science </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68N20" title="MSC2020">68N20</a> </td> <td class="space"> Theory of compilers and interpreters </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Ausers%27+guide">users’ guide</a>; <a href="/?q=ut%3Amanual">manual</a>; <a href="/?q=ut%3ALAPACK">LAPACK</a>; <a href="/?q=ut%3AFORTRAN+77+routines">FORTRAN 77 routines</a>; <a href="/?q=ut%3ALINPACK">LINPACK</a>; <a href="/?q=ut%3AEISPACK">EISPACK</a>; <a href="/?q=ut%3Avector+processors">vector processors</a>; <a href="/?q=ut%3Ahigh-performance+%60%60superscalar%27%27+workstations">high-performance “superscalar” workstations</a>; <a href="/?q=ut%3Ashared+memory+multiprocessors">shared memory multiprocessors</a>; <a href="/?q=ut%3APerfomance">Perfomance</a>; <a href="/?q=ut%3AAccuracy">Accuracy</a>; <a href="/?q=ut%3Astability">stability</a></div> <div class="software"> <h3>Software:</h3><a href="/software/4208">EISPACK</a>; <a href="/software/4209">LINPACK</a>; <a href="/software/503">LAPACK</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0755.65028" data-ciurl="/ci/00053686" data-biburl="/bibtex/00053686.bib" data-amsurl="/amsrefs/00053686.bib" data-xmlurl="/xml/00053686.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00053686.pdf" title="Zbl 0755.65028 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; 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