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<?xml version="1.0" encoding="UTF-8"?>
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* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
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* Copyright (C) 2008 - INRIA
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* This file must be used under the terms of the CeCILL.
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* This source file is licensed as described in the file COPYING, which
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* you should have received as part of this distribution. The terms
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* are also available at
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* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
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<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="kernel">
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<refname>kernel</refname>
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<refpurpose> kernel, nullspace</refpurpose>
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<title>Calling Sequence</title>
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<synopsis>W=kernel(A [,tol,[,flag])</synopsis>
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<title>Arguments</title>
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<para>full real or complex matrix or real sparse matrix</para>
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character string <literal>'svd'</literal> (default) or <literal>'qr'</literal>
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<para>real number</para>
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<para>full column rank matrix</para>
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<title>Description</title>
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<literal>W=kernel(A)</literal> returns the kernel (nullspace) of <literal>A</literal>. If A has full column rank then an empty matrix [] is returned.
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<literal>flag</literal> and <literal>tol</literal> are optional parameters: <literal>flag = 'qr'</literal>
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or <literal>'svd'</literal> (default is <literal>'svd'</literal>).
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<literal>tol</literal> = tolerance parameter (of order <literal>%eps</literal> as default value).
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<title>Examples</title>
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<programlisting role="example"><![CDATA[
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A=rand(3,1)*rand(1,3);
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<refsection role="see also">
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<title>See Also</title>
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<simplelist type="inline">
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<link linkend="colcomp">colcomp</link>
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<link linkend="fullrf">fullrf</link>
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<link linkend="fullrfk">fullrfk</link>
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<link linkend="linsolve">linsolve</link>