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git-svn-id: https://svn.php.net/repository/phpdoc/en/trunk@324194 c90b9560-bf6c-de11-be94-00142212c4b1
112 lines
2.8 KiB
XML
112 lines
2.8 KiB
XML
<?xml version="1.0" encoding="utf-8"?>
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<!-- $Revision$ -->
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<refentry xml:id="lapack.leastsquaresbyfactorisation" xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink">
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<refnamediv>
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<refname>Lapack::leastSquaresByFactorisation</refname>
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<refpurpose>Calculate the linear least squares solution of a matrix using QR factorisation</refpurpose>
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</refnamediv>
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<refsect1 role="description">
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&reftitle.description;
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<methodsynopsis>
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<modifier>public</modifier> <modifier>static</modifier> <type>array</type><methodname>Lapack::leastSquaresByFactorisation</methodname>
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<methodparam><type>array</type><parameter>a</parameter></methodparam>
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<methodparam><type>array</type><parameter>b</parameter></methodparam>
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</methodsynopsis>
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<para>
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Solve the linear least squares problem, find min x in || B - Ax ||
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Returns an array representing x. Expects arrays of arrays, and will
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return an array of arrays in the dimension B num cols x A num cols.
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Uses QR or LQ factorisation on matrix A.
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</para>
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</refsect1>
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<refsect1 role="parameters">
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&reftitle.parameters;
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<variablelist>
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<varlistentry>
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<term><parameter>a</parameter></term>
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<listitem>
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<para>
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Matrix A
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>b</parameter></term>
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<listitem>
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<para>
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Matrix B
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</para>
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</listitem>
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</varlistentry>
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</variablelist>
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</refsect1>
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<refsect1 role="returnvalues">
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&reftitle.returnvalues;
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<para>
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Array of the solution matrix
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</para>
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</refsect1>
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<refsect1 role="examples">
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&reftitle.examples;
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<para>
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<example>
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<title>Using <function>Lapack::leastSquaresByFactorisation</function>:</title>
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<programlisting role="php">
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<![CDATA[
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<?php
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$a = array(
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array( 1.44, -7.84, -4.39, 4.53),
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array(-9.96, -0.28, -3.24, 3.83),
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array(-7.55, 3.24, 6.27, -6.64),
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array( 8.34, 8.09, 5.28, 2.06),
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array( 7.08, 2.52, 0.74, -2.47),
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array(-5.45, -5.70, -1.19, 4.70),
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);
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$b = array(
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array( 8.58, 9.35),
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array( 8.26, -4.43),
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array( 8.48, -0.70),
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array(-5.28, -0.26),
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array( 5.72, -7.36),
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array( 8.93, -2.52),
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);
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$result = Lapack::leastSquaresByFactorisation($a, $b);
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?>
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]]>
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</programlisting>
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</example>
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</para>
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</refsect1>
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</refentry>
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<!-- Keep this comment at the end of the file
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Local variables:
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mode: sgml
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sgml-omittag:t
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sgml-shorttag:t
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sgml-minimize-attributes:nil
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sgml-always-quote-attributes:t
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sgml-indent-step:1
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sgml-indent-data:t
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indent-tabs-mode:nil
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sgml-parent-document:nil
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sgml-default-dtd-file:"~/.phpdoc/manual.ced"
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sgml-exposed-tags:nil
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sgml-local-catalogs:nil
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sgml-local-ecat-files:nil
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End:
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vim600: syn=xml fen fdm=syntax fdl=2 si
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vim: et tw=78 syn=sgml
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vi: ts=1 sw=1
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-->
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