[doc] misc. patchs & small improvements
[scilab.git] / scilab / modules / cacsd / help / en_US / linear_system_factorization / rowinout.xml
index 5ce83ec..5df6562 100644 (file)
  * along with this program.
  *
  -->
-<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" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="rowinout">
+<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" xmlns:scilab="http://www.scilab.org"
+          xml:lang="en" xml:id="rowinout">
     <refnamediv>
         <refname>rowinout</refname>
         <refpurpose>inner-outer factorization</refpurpose>
     </refnamediv>
     <refsynopsisdiv>
         <title>Syntax</title>
-        <synopsis>[Inn,X,Gbar]=rowinout(G)</synopsis>
+        <synopsis>[Inn, X, Gbar] = rowinout(G)</synopsis>
     </refsynopsisdiv>
     <refsection>
         <title>Arguments</title>
         <para>
             <literal>G</literal> admits the following inner-outer factorization:
         </para>
-        <programlisting role=""><![CDATA[
+        <screen><![CDATA[
  G = [ Inn ] | Gbar |
              |  0   |
- ]]></programlisting>
+]]></screen>
         <para>
             where <literal>Inn</literal> is square and inner (all pass and stable) and <literal>Gbar</literal>
             square and outer i.e:
         <para>
             Note that:
         </para>
-        <programlisting role=""><![CDATA[
+        <screen><![CDATA[
       [ Gbar ]
 X*G = [  -   ]
       [  0   ]
- ]]></programlisting>
+]]></screen>
         <para>
-            is a row compression of <literal>G</literal> where <literal>X</literal> = <literal>Inn</literal> inverse is all-pass i.e:
-        </para>
-        <programlisting role=""><![CDATA[
- T
-X (-s) X(s) = Identity
- ]]></programlisting>
-        <para>
-            (for the continuous time case).
+            is a row compression of <literal>G</literal> where <literal>X</literal> = <literal>Inn</literal>
+          inverse is all-pass i.e: <literal>X<superscript>t</superscript>(-s).X(s) = Identity</literal>
+          (for the continuous time case).
         </para>
     </refsection>
     <refsection role="see also">