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<?xml version="1.0" encoding="ISO-8859-1"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2009 - DIGITEO - Vincent COUVERT
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
-->
<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:id="eig">
<refnamediv>
<refname>eig</refname>
<refpurpose>(Matlab function) Find eigenvalues and eigenvectors</refpurpose>
</refnamediv>
<refsection>
<title>Matlab/Scilab equivalent</title>
<para>
<informaltable border="1" pgwide="1">
<tr>
<td align="center">
<emphasis role="bold">Matlab</emphasis>
</td>
<td align="center">
<emphasis role="bold">Scilab</emphasis>
</td>
</tr>
<tr>
<td>
<programlisting role="example"><![CDATA[
eig
]]></programlisting>
</td>
<td>
<programlisting role="example"><![CDATA[
spec - bdiag
]]></programlisting>
</td>
</tr>
</informaltable>
</para>
</refsection>
<refsection>
<title>Particular cases</title>
<variablelist>
<varlistentry>
<term>eig(A)</term>
<listitem>
<para>Scilab equivalent for eig(A) is spec(A). Scilab eigen vector matrix can differ from Matlab one.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>eig(A,'nobalance')</term>
<listitem>
<para>There is no Scilab equivalent for <emphasis role="bold">"nobalance"</emphasis> option. See examples.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>eig(A,B,flag)</term>
<listitem>
<para>There is no Scilab equivalent for <emphasis role="bold">flag</emphasis>.</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Examples</title>
<informaltable border="1" pgwide="1">
<tr>
<td align="center">
<emphasis role="bold">Matlab</emphasis>
</td>
<td align="center">
<emphasis role="bold">Scilab</emphasis>
</td>
</tr>
<tr>
<td>
<programlisting role="example"><![CDATA[
d = eig(A,'balance')
[V,D] = eig(A,'balance')
d = eig(A,B)
[V,D] = eig(A,B)
]]></programlisting>
</td>
<td>
<programlisting role="example"><![CDATA[
d = spec(A)
[V,D] = bdiag(A+%i,1/%eps)
[al,be] = spec(A); d = al./be;
[al,be,V] = spec(A); D = spec(al./be);
]]></programlisting>
</td>
</tr>
</informaltable>
</refsection>
</refentry>
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