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<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><title>Chapter 8. Matrices en GEL</title><meta name="generator" content="DocBook XSL Stylesheets Vsnapshot"><link rel="home" href="index.html" title="Manuel de Genius"><link rel="up" href="index.html" title="Manuel de Genius"><link rel="prev" href="ch07s06.html" title="Chargement de programmes"><link rel="next" href="ch08s02.html" title="Opérateur de transposition conjuguée et de transposition"></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Chapter 8. Matrices en GEL</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="ch07s06.html">Prev</a> </td><th width="60%" align="center"> </th><td width="20%" align="right"> <a accesskey="n" href="ch08s02.html">Next</a></td></tr></table><hr></div><div class="chapter"><div class="titlepage"><div><div><h1 class="title"><a name="genius-gel-matrices"></a>Chapter 8. Matrices en GEL</h1></div></div></div><div class="toc"><p><b>Table of Contents</b></p><dl class="toc"><dt><span class="sect1"><a href="ch08.html#genius-gel-matrix-support">Saisie de matrices</a></span></dt><dt><span class="sect1"><a href="ch08s02.html">Opérateur de transposition conjuguée et de transposition</a></span></dt><dt><span class="sect1"><a href="ch08s03.html">Algèbre linéaire</a></span></dt></dl></div><p lang="en">
Genius has support for vectors and matrices and possesses a sizable library of
matrix manipulation and linear algebra functions.
</p><div class="sect1"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a name="genius-gel-matrix-support"></a>Saisie de matrices</h2></div></div></div><p lang="en">
To enter matrices, you can use one of the following two syntaxes. You can either enter
the matrix on one line, separating values by commas and rows by semicolons. Or you
can enter each row on one line, separating
values by commas.
You can also just combine the two methods.
So to enter a 3x3 matrix
of numbers 1-9 you could do
</p><pre lang="en" class="programlisting">[1,2,3;4,5,6;7,8,9]
</pre><p lang="en">
or
</p><pre lang="en" class="programlisting">[1, 2, 3
4, 5, 6
7, 8, 9]
</pre><p lang="en">
Do not use both ';' and return at once on the same line though.
</p><p lang="en">
You can also use the matrix expansion functionality to enter matrices.
For example you can do:
</p><pre lang="en" class="programlisting">a = [ 1, 2, 3
4, 5, 6
7, 8, 9]
b = [ a, 10
11, 12]
</pre><p lang="en">
and you should get
</p><pre lang="en" class="programlisting">[1, 2, 3, 10
4, 5, 6, 10
7, 8, 9, 10
11, 11, 11, 12]
</pre><p lang="en">
similarly you can build matrices out of vectors and other stuff like that.
</p><p lang="en">
Another thing is that non-specified spots are initialized to 0, so
</p><pre lang="en" class="programlisting">[1, 2, 3
4, 5
6]
</pre><p lang="en">
will end up being
</p><pre lang="en" class="programlisting">
[1, 2, 3
4, 5, 0
6, 0, 0]
</pre><p lang="en">
</p><p lang="en">
When matrices are evaluated, they are evaluated and traversed row-wise. This is just
like the <code class="literal">M@(j)</code> operator, which traverses the matrix row-wise.
</p><div class="note" style="margin-left: 0.5in; margin-right: 0.5in;"><h3 class="title">Note</h3><p>Faites attention lorsque vous utilisez des retours à la ligne à l'intérieur des crochets <code class="literal">[ ]</code> car ils ont une signification légèrement différente dans ce cas. Vous commencez une nouvelle ligne.</p></div></div></div><div class="navfooter"><hr><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="ch07s06.html">Prev</a> </td><td width="20%" align="center"> </td><td width="40%" align="right"> <a accesskey="n" href="ch08s02.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">Chargement de programmes </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> Opérateur de transposition conjuguée et de transposition</td></tr></table></div></body></html>
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