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<p><a href="lin__alg_8hpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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Namespaces</h2></td></tr>
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<tr class="memitem:namespacemlpack"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack.html">mlpack</a></td></tr>
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<tr class="memdesc:namespacemlpack"><td class="mdescLeft"> </td><td class="mdescRight">Linear algebra utility functions, generally performed on matrices or vectors. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:af20ca29adeac02601e8f4386bda3588e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#af20ca29adeac02601e8f4386bda3588e">mlpack::math::Center</a> (const arma::mat &x, arma::mat &xCentered)</td></tr>
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<tr class="memdesc:af20ca29adeac02601e8f4386bda3588e"><td class="mdescLeft"> </td><td class="mdescRight">Creates a centered matrix, where centering is done by subtracting the sum over the columns (a column vector) from each column of the matrix. <a href="namespacemlpack_1_1math.html#af20ca29adeac02601e8f4386bda3588e">More...</a><br /></td></tr>
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<tr class="separator:af20ca29adeac02601e8f4386bda3588e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a33495d8fdb79a9b5783d683cf11b0d6b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a33495d8fdb79a9b5783d683cf11b0d6b">mlpack::math::Orthogonalize</a> (const arma::mat &x, arma::mat &W)</td></tr>
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<tr class="memdesc:a33495d8fdb79a9b5783d683cf11b0d6b"><td class="mdescLeft"> </td><td class="mdescRight">Orthogonalize x and return the result in W, using eigendecomposition. <a href="namespacemlpack_1_1math.html#a33495d8fdb79a9b5783d683cf11b0d6b">More...</a><br /></td></tr>
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<tr class="separator:a33495d8fdb79a9b5783d683cf11b0d6b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a532da68daa876aaa1060fbe54eaa3722"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a532da68daa876aaa1060fbe54eaa3722">mlpack::math::Orthogonalize</a> (arma::mat &x)</td></tr>
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<tr class="memdesc:a532da68daa876aaa1060fbe54eaa3722"><td class="mdescLeft"> </td><td class="mdescRight">Orthogonalize x in-place. <a href="namespacemlpack_1_1math.html#a532da68daa876aaa1060fbe54eaa3722">More...</a><br /></td></tr>
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<tr class="separator:a532da68daa876aaa1060fbe54eaa3722"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a27732f0088e81d179a8e6c92c4f9c4b8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a27732f0088e81d179a8e6c92c4f9c4b8">mlpack::math::RandVector</a> (arma::vec &v)</td></tr>
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<tr class="memdesc:a27732f0088e81d179a8e6c92c4f9c4b8"><td class="mdescLeft"> </td><td class="mdescRight">Overwrites a dimension-N vector to a random vector on the unit sphere in R^N. <a href="namespacemlpack_1_1math.html#a27732f0088e81d179a8e6c92c4f9c4b8">More...</a><br /></td></tr>
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<tr class="separator:a27732f0088e81d179a8e6c92c4f9c4b8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac03fe146911a97bef099efc9e99296ff"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#ac03fe146911a97bef099efc9e99296ff">mlpack::math::RemoveRows</a> (const arma::mat &input, const std::vector< size_t > &rowsToRemove, arma::mat &output)</td></tr>
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<tr class="memdesc:ac03fe146911a97bef099efc9e99296ff"><td class="mdescLeft"> </td><td class="mdescRight">Remove a certain set of rows in a matrix while copying to a second matrix. <a href="namespacemlpack_1_1math.html#ac03fe146911a97bef099efc9e99296ff">More...</a><br /></td></tr>
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<tr class="separator:ac03fe146911a97bef099efc9e99296ff"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acf1d819071707267cdce9c78abd32e2e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#acf1d819071707267cdce9c78abd32e2e">mlpack::math::Smat</a> (const arma::vec &input, arma::mat &output)</td></tr>
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<tr class="memdesc:acf1d819071707267cdce9c78abd32e2e"><td class="mdescLeft"> </td><td class="mdescRight">The inverse of Svec. <a href="namespacemlpack_1_1math.html#acf1d819071707267cdce9c78abd32e2e">More...</a><br /></td></tr>
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<tr class="separator:acf1d819071707267cdce9c78abd32e2e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a76535efa4f447182fed1a2ad789d5340"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a76535efa4f447182fed1a2ad789d5340">mlpack::math::Svec</a> (const arma::mat &input, arma::vec &output)</td></tr>
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<tr class="memdesc:a76535efa4f447182fed1a2ad789d5340"><td class="mdescLeft"> </td><td class="mdescRight">Upper triangular representation of a symmetric matrix, scaled such that, dot(Svec(A), Svec(B)) == dot(A, B) for symmetric A, B. <a href="namespacemlpack_1_1math.html#a76535efa4f447182fed1a2ad789d5340">More...</a><br /></td></tr>
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<tr class="separator:a76535efa4f447182fed1a2ad789d5340"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2e46372873806bdfef7d596dcc78a5ea"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a2e46372873806bdfef7d596dcc78a5ea">mlpack::math::Svec</a> (const arma::sp_mat &input, arma::sp_vec &output)</td></tr>
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<tr class="separator:a2e46372873806bdfef7d596dcc78a5ea"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a630a16e49385717a8fef7d25d0093c37"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a630a16e49385717a8fef7d25d0093c37">mlpack::math::SvecIndex</a> (size_t i, size_t j, size_t n)</td></tr>
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<tr class="memdesc:a630a16e49385717a8fef7d25d0093c37"><td class="mdescLeft"> </td><td class="mdescRight">Return the index such that A[i,j] == factr(i, j) * svec(A)[pos(i, j)], where factr(i, j) = sqrt(2) if i != j and 1 otherwise. <a href="namespacemlpack_1_1math.html#a630a16e49385717a8fef7d25d0093c37">More...</a><br /></td></tr>
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<tr class="separator:a630a16e49385717a8fef7d25d0093c37"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a99efc34a8a0f9ed477baf86cb62adb3f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a99efc34a8a0f9ed477baf86cb62adb3f">mlpack::math::SymKronId</a> (const arma::mat &A, arma::mat &op)</td></tr>
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<tr class="memdesc:a99efc34a8a0f9ed477baf86cb62adb3f"><td class="mdescLeft"> </td><td class="mdescRight">If A is a symmetric matrix, then SymKronId returns an operator Op such that. <a href="namespacemlpack_1_1math.html#a99efc34a8a0f9ed477baf86cb62adb3f">More...</a><br /></td></tr>
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<tr class="separator:a99efc34a8a0f9ed477baf86cb62adb3f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1afb9b62743ad2c961a4f240d8694e1e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a1afb9b62743ad2c961a4f240d8694e1e">mlpack::math::VectorPower</a> (arma::vec &vec, const double power)</td></tr>
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<tr class="memdesc:a1afb9b62743ad2c961a4f240d8694e1e"><td class="mdescLeft"> </td><td class="mdescRight">Auxiliary function to raise vector elements to a specific power. <a href="namespacemlpack_1_1math.html#a1afb9b62743ad2c961a4f240d8694e1e">More...</a><br /></td></tr>
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<tr class="separator:a1afb9b62743ad2c961a4f240d8694e1e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af598b11d41b94720546a10a2ac7adb66"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#af598b11d41b94720546a10a2ac7adb66">mlpack::math::WhitenUsingEig</a> (const arma::mat &x, arma::mat &xWhitened, arma::mat &whiteningMatrix)</td></tr>
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<tr class="memdesc:af598b11d41b94720546a10a2ac7adb66"><td class="mdescLeft"> </td><td class="mdescRight">Whitens a matrix using the eigendecomposition of the covariance matrix. <a href="namespacemlpack_1_1math.html#af598b11d41b94720546a10a2ac7adb66">More...</a><br /></td></tr>
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<tr class="separator:af598b11d41b94720546a10a2ac7adb66"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9498ec73c0c6b0f151a10b2357a11468"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemlpack_1_1math.html#a9498ec73c0c6b0f151a10b2357a11468">mlpack::math::WhitenUsingSVD</a> (const arma::mat &x, arma::mat &xWhitened, arma::mat &whiteningMatrix)</td></tr>
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<tr class="memdesc:a9498ec73c0c6b0f151a10b2357a11468"><td class="mdescLeft"> </td><td class="mdescRight">Whitens a matrix using the singular value decomposition of the covariance matrix. <a href="namespacemlpack_1_1math.html#a9498ec73c0c6b0f151a10b2357a11468">More...</a><br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Nishant Mehta</dd></dl>
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<p>Linear algebra utilities.</p>
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<p>mlpack is free software; you may redistribute it and/or modify it under the terms of the 3-clause BSD license. You should have received a copy of the 3-clause BSD license along with mlpack. If not, see <a href="http://www.opensource.org/licenses/BSD-3-Clause">http://www.opensource.org/licenses/BSD-3-Clause</a> for more information. </p>
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<p>Definition in file <a class="el" href="lin__alg_8hpp_source.html">lin_alg.hpp</a>.</p>
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