SherbyNet - /page/wikibook/entry.mu

Micron Document

<!DOCTYPE html>

<title>Math.NET Numerics</title>

</head>

<span id="openzim-page-title" class="mw-page-title-main"><span class="mw-page-title-main">Math.NET Numerics</span></span>

</h1>

</header>

/* start https://en.wikipedia.org/ */

.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}

/* end https://en.wikipedia.org/ */

</style><table class="infobox vevent"><tbody><tr><th colspan="2" class="infobox-above summary">Math.NET Numerics</th></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="Programmer" title="Programmer">Developer(s)</a></th><td class="infobox-data">C. Rüegg, M. Cuda, et al.</td></tr><tr style="display: none;"><td colspan="2" class="infobox-full-data"></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="Software_release_life_cycle" title="Software release life cycle">Stable release</a></th><td class="infobox-data"><div style="margin:0px;">4.15.0

/ 7 January 2021<span style="display:none"> (<span class="bday dtstart published updated">2021-01-07</span>)</span></div></td></tr><tr style="display:none"><td colspan="2">

</td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="Repository_(version_control)" title="Repository (version control)">Repository</a></th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1126788409">

/* start https://en.wikipedia.org/ */

.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}

/* end https://en.wikipedia.org/ */

</style><div class="plainlist"><ul><li><span class="url"><a rel="nofollow" class="external text" href="https://github.com/mathnet/mathnet-numerics">github<wbr>.com<wbr>/mathnet<wbr>/mathnet-numerics</a></span> </li></ul>

</div></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Written in</th><td class="infobox-data"><a href="C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a>, <a href="F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a>, <a href="Common_Language_Runtime" title="Common Language Runtime">.NET CLR</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="Operating_system" title="Operating system">Operating system</a></th><td class="infobox-data"><a href="Cross-platform" class="mw-redirect" title="Cross-platform">Cross-platform</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="Software_categories#Categorization_approaches" title="Software categories">Type</a></th><td class="infobox-data"><a href="List_of_numerical_analysis_software" class="mw-redirect" title="List of numerical analysis software">Numerical library</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="Software_license" title="Software license">License</a></th><td class="infobox-data"><a href="MIT_License" title="MIT License">MIT/X11</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="http://numerics.mathdotnet.com/">numerics<wbr>.mathdotnet<wbr>.com</a></span></td></tr></tbody></table>

<p><b>Math.NET Numerics</b> is an <a href="Open-source_software" title="Open-source software">open-source</a> numerical library for <a href="Microsoft_.NET" class="mw-redirect" title="Microsoft .NET">.NET</a> and <a href="Mono_(software)" title="Mono (software)">Mono</a>, written in <a href="C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a> and <a href="F_Sharp_(programming_language)" title="F Sharp (programming language)">F#</a>. It features functionality similar to <a href="Basic_Linear_Algebra_Subprograms" title="Basic Linear Algebra Subprograms">BLAS</a> and <a href="LAPACK" title="LAPACK">LAPACK</a>.

</p>

<div class="mw-heading mw-heading2"><h2 id="History">History</h2></div>

<p>Math.NET Numerics started 2009 by merging code and teams of <a href="DnAnalytics" title="DnAnalytics">dnAnalytics</a> with Math.NET Iridium. It is influenced by <a href="ALGLIB" title="ALGLIB">ALGLIB</a>, <a href="JAMA_(numerical_linear_algebra_library)" title="JAMA (numerical linear algebra library)">JAMA</a> and <a href="Boost_(C%2B%2B_libraries)" title="Boost (C++ libraries)">Boost</a>, among others, and has accepted numerous code contributions.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> It is part of the Math.NET initiative to build and maintain open mathematical toolkits for the .NET platform since 2002.

</p><p>Math.NET is used by several open source libraries and research projects, like MyMediaLite,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> FermiSim<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> and LightField Retrieval,<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> and various theses<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> and papers.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup>

</p>

<div class="mw-heading mw-heading2"><h2 id="Features">Features</h2></div>

<p>The software library provides facilities for:

</p>

<ul><li>Probability distributions: discrete, continuous and multivariate.</li>

<li>Pseudo-random number generation, including <a href="Mersenne_twister" class="mw-redirect" title="Mersenne twister">Mersenne Twister MT19937</a>.</li>

<li>Real and complex linear algebra types and solvers with support for sparse matrices and vectors.</li>

<li><a href="LU_decomposition" title="LU decomposition">LU</a>, <a href="QR_decomposition" title="QR decomposition">QR</a>, <a href="Singular_value_decomposition" title="Singular value decomposition">SVD</a>, <a href="Eigendecomposition_of_a_matrix" title="Eigendecomposition of a matrix">EVD</a>, and <a href="Cholesky_decomposition" title="Cholesky decomposition">Cholesky</a> decompositions.</li>

<li>Matrix IO classes that read and write matrices from/to Matlab and delimited files.</li>

<li><a href="Complex_number" title="Complex number">Complex number</a> arithmetic and trigonometry.</li>

<li>“Special” routines including the <a href="Gamma_function" title="Gamma function">Gamma</a>, <a href="Beta_function" title="Beta function">Beta</a>, <a href="Error_function" title="Error function">Erf</a>, modified <a href="Bessel_function" title="Bessel function">Bessel</a> and <a href="Struve_function" title="Struve function">Struve</a> functions.</li>

<li>Interpolation routines, including <a href="Lagrange_polynomial#Barycentric_form" title="Lagrange polynomial">Barycentric</a>, Floater-Hormann.</li>

<li>Linear Regression/Curve Fitting routines.</li>

<li>Numerical Quadrature/Integration.</li>

<li>Root finding methods, including Brent, Robust Newton-Raphson and Broyden.</li>

<li>Descriptive Statistics, Order Statistics, Histogram, and <a href="Pearson_product-moment_correlation_coefficient" class="mw-redirect" title="Pearson product-moment correlation coefficient">Pearson Correlation Coefficient</a>.</li>

<li><a href="Markov_chain_Monte_Carlo" title="Markov chain Monte Carlo">Markov chain Monte Carlo</a> sampling.</li>

<li>Basic financial statistics.</li>

<li>Fourier and Hartley transforms (FFT).</li>

<li>Overloaded mathematical operators to simplify complex expressions.</li>

<li>Runs under Microsoft Windows and platforms that support Mono.</li>

<li>Optional support for Intel Math Kernel Library (Microsoft Windows and Linux)</li>

<li>Optional F# extensions for more idiomatic usage.</li></ul>

<ul><li><a href="List_of_numerical_analysis_software" class="mw-redirect" title="List of numerical analysis software">List of numerical analysis software</a></li>

<li><a href="List_of_numerical_libraries" title="List of numerical libraries">List of numerical libraries</a></li></ul>

<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>

/* start https://en.wikipedia.org/ */

.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}

/* end https://en.wikipedia.org/ */

</style><div class="reflist">

/* start https://en.wikipedia.org/ */

.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("./mw/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("./mw/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("./mw/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("./mw/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}

/* end https://en.wikipedia.org/ */

</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://github.com/mathnet/mathnet-numerics/blob/master/README.md">"Math.NET Numerics ReadMe"</a>. GitHub.com<span class="reference-accessdate">. Retrieved <span class="nowrap">2013-05-08</span></span>.</cite></span>

</li>

<li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://github.com/mathnet/mathnet-numerics/blob/master/CONTRIBUTORS.md">"Math.NET Numerics Contributors"</a>. GitHub.com<span class="reference-accessdate">. Retrieved <span class="nowrap">2013-05-08</span></span>.</cite></span>

</li>

<li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20130601153212/http://www.ismll.uni-hildesheim.de/mymedialite/">"MyMediaLite Recommender System Library"</a>. Archived from <a rel="nofollow" class="external text" href="http://www.ismll.uni-hildesheim.de/mymedialite/">the original</a> on 2013-06-01<span class="reference-accessdate">. Retrieved <span class="nowrap">2013-05-08</span></span>.</cite></span>

</li>

<li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://launchpad.net/fermisim">"FermiSim, studying potential solutions to the Fermi paradox via computational simulation of models for space colonisation"</a>. 14 January 2011.</cite></span>

</li>

<li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://code.google.com/p/lightfieldretrieval/">"Three-Dimensional Model Shape Description and Retrieval Based on LightField Descriptors"</a>.</cite></span>

</li>

<li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><cite id="CITEREFSchräder2011" class="citation thesis cs1">Schräder, Niklas (2011). <i>Detecting falls and poses in image silhouettes</i> (M.Sc). Chalmers University of Technology, Gothenburg, Sweden. <a href="ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1652-8557">1652-8557</a>.</cite></span>

</li>

<li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><cite id="CITEREFSchindlberger2011" class="citation thesis cs1">Schindlberger, Michael (2011). <i>Elastic Properties of Growing 2D Foam</i> (M.Sc). University of Zurich.</cite></span>

</li>

<li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><cite id="CITEREFFerreira" class="citation thesis cs1">Ferreira, André Filipe Mateus. <i>SoundLog: Make More Noise</i> (M.Sc). Universidade Técnica de Lisboa.</cite></span>

</li>

<li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><cite id="CITEREFMiller2010" class="citation thesis cs1">Miller, Justin (2010). <i>Design of a Wireless Acquisition System for a Digital Stethoscope</i> (B.Sc). University of Southern Queensland.</cite></span>

</li>

<li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><cite id="CITEREFLÍŠKAŽIDEK2010" class="citation journal cs1">LÍŠKA, Ondrej; ŽIDEK, Kamil (2010). "Accelerometers usability for danger tilt off-highway vehicles and signal filtration with kalman filter". <i>Journal of Applied Science in the Thermodynamics and Fluid Mechanics</i>. <b>4</b> (2): <span class="nowrap">1–</span>6. <a href="ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1802-9388">1802-9388</a>.</cite></span>

</li>

<li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><cite id="CITEREFKrejcarJirkaJanckulik2011" class="citation journal cs1">Krejcar, Ondrej; Jirka, Jakub; Janckulik, Dalibor (2011). <a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3231421">"Use of Mobile Phones as Intelligent Sensors for Sound Input Analysis and Sleep State Detection"</a>. <i>Sensors</i>. <b>11</b> (6): <span class="nowrap">6037–</span>6055. <a href="Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2011Senso..11.6037K">2011Senso..11.6037K</a>. <a href="Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.3390%2Fs110606037">10.3390/s110606037</a></span>. <a href="ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1424-8220">1424-8220</a>. <a href="PMC_(identifier)" class="mw-redirect" title="PMC (identifier)">PMC</a> <span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3231421">3231421</a></span>. <a href="PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/22163941">22163941</a>.</cite></span>

</li>

</ol></div></div>

<div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div>

<ul><li><a rel="nofollow" class="external text" href="http://numerics.mathdotnet.com">Math.NET Numerics Website</a></li>

<li><a rel="nofollow" class="external text" href="http://www.mathdotnet.com">Math.NET Initiative</a></li></ul></div><div><div class="zim-footer">

This article is issued from <a class="external text" title="Last edited on 2024-09-20" href="https://en.wikipedia.org/wiki/?title=Math.NET_Numerics&oldid=1246666974">Wikipedia</a>. The text is available under <a class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Creative Commons Attribution-Share Alike 4.0</a> unless otherwise noted. Additional terms may apply for the media files.

</div>

</div></div>

</div>

</main>

</div>

</body></html>