Software Search - zbMATH Open

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autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>  </span>description</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>author</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc</a></li> <li><a href="#"><span class="token item">pl:</span><span>  </span>programming language</a></li> <li><a href="#"><span class="token item">si:</span><span>  </span>software ID</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>name</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=sw%3ASage%2A">sw:Sage*</a></span> <span class="search-explanation" role="cell" role="cell">Search for a specific <strong>s</strong>oft<strong>w</strong>are package containing the sequence <em>Sage</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=ab%3Ageometry+%26+ut%3AORMS">ab:geometry & ut:ORMS</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages with the word <em>geometry</em> in the description(<strong>ab</strong>), and which have the keyword(<strong>ut</strong>) <em>ORMS</em> ( Oberwolfach Registry of Mathematical Software).The operator <strong>&</strong> is the default and may be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=cc%3A13+%7C+14">cc:13 | 14</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages which are cited(<strong>cc</strong>) by articles belonging to the <strong><u>c</u>lassification <u>c</u>ode</strong> sections <em>13</em> and <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=GAP+au%3AEick">GAP au:Eick</a></span> <span class="search-explanation" role="cell" role="cell">Search for <em>GAP</em> in the <strong>any</strong> index (which also includes dependencies) and by software <strong><u>au</u>thor</strong> containing the sequence <em>Eick</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=pl%3AJava+%26+ab%3AR">pl:Java & ab:R</a></span> <span class="search-explanation" role="cell" role="cell">Search for software package in the <strong><u>p</u>rogramming <u>l</u>anguage</strong> Java whose description text(<strong>ab</strong>) contains <em>R</em></span> </div> </div> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ab</strong> </span> <span class="search-explanation" role="cell" role="cell"> Text from the description </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name(s) of the author(s) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Main fields of the software (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>pl</strong> </span> <span class="search-explanation" role="cell" role="cell"> Programming language the software is written in </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>si</strong> </span> <span class="search-explanation" role="cell" role="cell"> swMATH software ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>sw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Software name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ut</strong> </span> <span class="search-explanation" role="cell" role="cell"> Keywords </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a & b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="software"> <div class="content-main"> <article> <div class="head"> <h2>LAPACK</h2> </div> <div class="text"> <table> <tr> <td>swMATH ID:</td> <td> 503 </td> </tr> <tr> <td>Software Authors:</td> <td> LAPACK </td> </tr> <tr> <td>Description:</td> <td>LAPACK is written in Fortran 90 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general sparse matrices. In all areas, similar functionality is provided for real and complex matrices, in both single and double precision.<br class="zbmathjax-paragraph">The original goal of the LAPACK project was to make the widely used EISPACK and LINPACK libraries run efficiently on shared-memory vector and parallel processors. On these machines, LINPACK and EISPACK are inefficient because their memory access patterns disregard the multi-layered memory hierarchies of the machines, thereby spending too much time moving data instead of doing useful floating-point operations. LAPACK addresses this problem by reorganizing the algorithms to use block matrix operations, such as matrix multiplication, in the innermost loops. These block operations can be optimized for each architecture to account for the memory hierarchy, and so provide a transportable way to achieve high efficiency on diverse modern machines. We use the term ”transportable” instead of ”portable” because, for fastest possible performance, LAPACK requires that highly optimized block matrix operations be already implemented on each machine.<br class="zbmathjax-paragraph">LAPACK routines are written so that as much as possible of the computation is performed by calls to the Basic Linear Algebra Subprograms (BLAS). LAPACK is designed at the outset to exploit the Level 3 BLAS — a set of specifications for Fortran subprograms that do various types of matrix multiplication and the solution of triangular systems with multiple right-hand sides. Because of the coarse granularity of the Level 3 BLAS operations, their use promotes high efficiency on many high-performance computers, particularly if specially coded implementations are provided by the manufacturer.<br class="zbmathjax-paragraph">Highly efficient machine-specific implementations of the BLAS are available for many modern high-performance computers. For details of known vendor- or ISV-provided BLAS, consult the BLAS FAQ. Alternatively, the user can download ATLAS to automatically generate an optimized BLAS library for the architecture. A Fortran 77 reference implementation of the BLAS is available from netlib; however, its use is discouraged as it will not perform as well as a specifically tuned implementation.</td> </tr> <tr> <td>Homepage:</td> <td> <a href="http://www.netlib.org/lapack/">http://www.netlib.org/lapack/</a> </td> </tr> <tr> <td>Programming Languages:</td> <td> FORTRAN </td> </tr> <tr> <td>Keywords:</td> <td> <a href="/software/?q=ut%3Aorms">orms</a>; <a href="/software/?q=ut%3ALAPACK+software">LAPACK software</a>; <a href="/software/?q=ut%3Alibrary+of+FORTRAN+77+routines">library of FORTRAN 77 routines</a>; <a href="/software/?q=ut%3Anonsymmetric+eigenproblem">nonsymmetric eigenproblem</a>; <a href="/software/?q=ut%3Alinear+least+squares+problems">linear least squares problems</a>; <a href="/software/?q=ut%3Asingular+value+decomposition">singular value decomposition</a>; <a href="/software/?q=ut%3AQR+and+RQ+factorizations">QR and RQ factorizations</a>; <a href="/software/?q=ut%3Areduction+of+a+band+matrix">reduction of a band matrix</a> </td> </tr> <tr> <td>Related Software:</td> <td> <a href="/software/3216">BLAS</a>; <a href="/software/830">ScaLAPACK</a>; <a href="/software/558">Matlab</a>; <a href="/software/4827">mctoolbox</a>; <a href="/software/4209">LINPACK</a>; <a href="/software/4218">ARPACK</a>; <a href="/software/4208">EISPACK</a>; <a href="/software/3112">CLAPACK</a>; <a href="/software/4012">PETSc</a>; <a href="/software/4629">SparseMatrix</a>; <a href="/software/7031">JDQZ</a>; <a href="/software/56">ATLAS</a>; <a href="/software/4021">JDQR</a>; <a href="/software/4013">MUMPS</a>; <a href="/software/6975">MKL</a>; <a href="/software/771">R</a>; <a href="/software/3258">CUDA</a>; <a href="/software/6496">MPI</a>; <a href="/software/12583">Algorithm 679</a>; <a href="/software/23170">GitHub</a> </td> </tr> <tr class="indexed"> <td>Cited in:</td> <td> <a href="/?q=si%3A503">1,812 Documents</a> <br> <a href="https://orms.mfo.de/project?id=269">This software is also referenced in ORMS.</a> </td> </tr> </table> </div> <div class="profile"> <div class="standard_articles publications"> <h3 style="margin-bottom: 0"> Standard Articles </h3> <table> <thead> <tr> <th> <strong> 4 Publications describing the Software, including <a href="/?q=an%3A5187736%7C1372110%7C781814%7C53686">4 Publications in zbMATH </a></strong> </th> <th> Year </th> </tr> </thead> <tbody> <tr> <td> <a class="black" href="/1122.68745">Improving test coverage of LAPACK.</a> <a class="label" href="/1122.68745">Zbl 1122.68745</a><br><a href="/authors/barnes.david-j" title="Author Profile">Barnes, David J.</a>; <a href="/authors/hopkins.tim-r" title="Author Profile">Hopkins, Tim R.</a> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr> <td> <a class="black" href="/0934.65030">LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed.</a> <a class="label" href="/0934.65030">Zbl 0934.65030</a><br><a href="/authors/?q=ai%3Aanderson.eric-c%7Canderson.edwin%7Canderson.edgar%7Canderson.e-w%7Canderson.e-m.1%7Canderson.elizabeth%7Canderson.eugene-w%7Canderson.e-i%7Canderson.evan-w%7Canderson.evan-e%7Canderson.e-r%7Canderson.erin%7Canderson.eric-t%7Canderson.edmund-h%7Canderson.eric-j%7Canderson.e-clay%7Canderson.edward%7Canderson.erik-j" 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>; <a href="/authors/blackford.susan" title="Author Profile">Blackford, S.</a>; <a href="/authors/demmel.james-weldon" title="Author Profile">Demmel, J.</a>; <a href="/authors/dongarra.jack-j" title="Author Profile">Dongarra, J.</a>; <a href="/authors/du-croz.jeremy-j" title="Author Profile">Du Croz, J.</a>; <a href="/authors/greenbaum.anne" title="Author 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href="/authors/demmel.james-weldon" title="Author Profile">Demmel, J.</a>; <a href="/authors/dongarra.jack-j" title="Author Profile">Dongarra, J.</a>; <a href="/authors/du-croz.jeremy-j" title="Author Profile">Du Croz, J.</a>; <a href="/authors/greenbaum.anne" title="Author Profile">Greenbaum, A.</a>; <a href="/authors/hammarling.sven-j" title="Author Profile">Hammarling, S.</a>; <a href="/authors/mckenney.alan" title="Author Profile">McKenney, A.</a>; <a href="/authors/ostrouchov.susan" title="Author Profile">Ostrouchov, S.</a>; <a href="/authors/sorensen.danny-c" title="Author Profile">Sorensen, D.</a> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr> <td> <a class="black" href="/0755.65028">LAPACK users’ guide.</a> <a class="label" href="/0755.65028">Zbl 0755.65028</a><br><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> </td> <td> <div class="citation_year">1992</div> </td> </tr> </tbody> </table> </div> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited by 3,009 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=si%3A503+ai%3Adongarra.jack-j" title="Citing Publications by this Author">55</a> </td> <td class="text"> <a href="/authors/dongarra.jack-j" title="Author Profile"> Dongarra, Jack J. </a> </td></tr><tr> 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title="Citing Publications in this Field">44</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences <span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A78" title="Citing Publications in this Field">40</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory <span style="white-space: nowrap;">(78-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A49" title="Citing Publications in this Field">26</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A00" title="Citing Publications in this Field">22</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections <span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A37" title="Citing Publications in this Field">22</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A70" title="Citing Publications in this Field">21</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A86" title="Citing Publications in this Field">21</a> </td> <td class="text"> <a href="/classification/?q=cc%3A86" title="Mathematics Subject Classification"> Geophysics <span style="white-space: nowrap;">(86-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A80" title="Citing Publications in this Field">19</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer <span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A94" title="Citing Publications in this Field">18</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits <span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A05" title="Citing Publications in this Field">17</a> </td> <td class="text"> <a href="/classification/?q=cc%3A05" title="Mathematics Subject Classification"> Combinatorics <span style="white-space: nowrap;">(05-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A41" title="Citing Publications in this Field">17</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A60" title="Citing Publications in this Field">15</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes <span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A12" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A12" title="Mathematics Subject Classification"> Field theory and polynomials <span style="white-space: nowrap;">(12-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A91" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A47" title="Citing Publications in this Field">13</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A30" title="Citing Publications in this Field">12</a> </td> <td class="text"> <a href="/classification/?q=cc%3A30" title="Mathematics Subject Classification"> Functions of a complex variable <span style="white-space: nowrap;">(30-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A26" title="Citing Publications in this Field">11</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions <span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A45" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations <span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A85" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A85" title="Mathematics Subject Classification"> Astronomy and astrophysics <span style="white-space: nowrap;">(85-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A13" title="Citing Publications in this Field">9</a> </td> <td class="text"> <a href="/classification/?q=cc%3A13" title="Mathematics Subject Classification"> Commutative algebra <span style="white-space: nowrap;">(13-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A83" title="Citing Publications in this Field">9</a> </td> <td class="text"> <a href="/classification/?q=cc%3A83" title="Mathematics Subject Classification"> Relativity and gravitational theory <span style="white-space: nowrap;">(83-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A14" title="Citing Publications in this Field">7</a> </td> <td class="text"> <a href="/classification/?q=cc%3A14" title="Mathematics Subject Classification"> Algebraic geometry <span style="white-space: nowrap;">(14-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A01" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography <span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A42" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A42" title="Mathematics Subject Classification"> Harmonic analysis on Euclidean spaces <span style="white-space: nowrap;">(42-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A33" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A33" title="Mathematics Subject Classification"> Special functions <span style="white-space: nowrap;">(33-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A39" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A39" title="Mathematics Subject Classification"> Difference and functional equations <span style="white-space: nowrap;">(39-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A58" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A58" title="Mathematics Subject Classification"> Global analysis, analysis on manifolds <span style="white-space: nowrap;">(58-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A97" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A97" title="Mathematics Subject Classification"> Mathematics education <span style="white-space: nowrap;">(97-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A11" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A11" title="Mathematics Subject Classification"> Number theory <span style="white-space: nowrap;">(11-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A31" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A31" title="Mathematics Subject Classification"> Potential theory <span style="white-space: nowrap;">(31-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A44" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A44" title="Mathematics Subject Classification"> Integral transforms, operational calculus <span style="white-space: nowrap;">(44-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A46" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A46" title="Mathematics Subject Classification"> Functional analysis <span style="white-space: nowrap;">(46-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A52" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A52" title="Mathematics Subject Classification"> Convex and discrete geometry <span style="white-space: nowrap;">(52-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A53" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A53" title="Mathematics Subject Classification"> Differential geometry <span style="white-space: nowrap;">(53-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A03" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A03" title="Mathematics Subject Classification"> Mathematical logic and foundations <span style="white-space: nowrap;">(03-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A20" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A20" title="Mathematics Subject Classification"> Group theory and generalizations <span style="white-space: nowrap;">(20-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A32" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A32" title="Mathematics Subject Classification"> Several complex variables and analytic spaces <span style="white-space: nowrap;">(32-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A51" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A51" title="Mathematics Subject Classification"> Geometry <span style="white-space: nowrap;">(51-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A503+cc%3A55" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A55" title="Mathematics Subject Classification"> Algebraic topology <span style="white-space: nowrap;">(55-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram si-diagram" aria-label="citing publications by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script src="/static/js/d3.v3.min.js"></script> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".si-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1988, frequency:1 },{ year:1990, frequency:1 },{ year:1991, frequency:4 },{ year:1992, frequency:20 },{ year:1993, frequency:24 },{ year:1994, frequency:27 },{ year:1995, frequency:26 },{ year:1996, frequency:51 },{ year:1997, frequency:59 },{ year:1998, frequency:72 },{ year:1999, frequency:59 },{ year:2000, frequency:72 },{ year:2001, frequency:67 },{ year:2002, frequency:52 },{ year:2003, frequency:50 },{ year:2004, frequency:38 },{ year:2005, frequency:54 },{ year:2006, frequency:61 },{ year:2007, frequency:53 },{ year:2008, frequency:66 },{ year:2009, frequency:69 },{ year:2010, frequency:63 },{ year:2011, frequency:55 },{ year:2012, frequency:74 },{ year:2013, frequency:56 },{ year:2014, frequency:57 },{ year:2015, frequency:66 },{ year:2016, frequency:58 },{ year:2017, frequency:63 },{ year:2018, frequency:72 },{ year:2019, frequency:73 },{ year:2020, frequency:57 },{ year:2021, frequency:43 },{ year:2022, frequency:54 },{ year:2023, frequency:55 },{ year:2024, frequency:39 },{ year:2025, frequency:1 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=si%3A503+py%3A" + d.year ) .attr( "title", d => d.frequency + " Publication" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2024 <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 = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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