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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>eng</LANGUAGE>
  <TITLE>colinout</TITLE>
  <TYPE>Scilab Function</TYPE>
  <DATE>April 1993</DATE>
  <SHORT_DESCRIPTION name="colinout"> inner-outer factorization</SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
    <CALLING_SEQUENCE_ITEM>[Inn,X,Gbar]=colinout(G)  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
    <PARAM_INDENT>
      <PARAM_ITEM>
        <PARAM_NAME>G</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: linear system (<VERB>syslin</VERB> list) <VERB>[A,B,C,D]</VERB></SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>Inn</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>:  inner factor (<VERB>syslin</VERB> list)</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>Gbar</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>:  outer factor (<VERB>syslin</VERB> list)</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>X</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>:  row-compressor of <VERB>G</VERB> (<VERB>syslin</VERB> list)</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
    </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
    <P>
    Inner-outer factorization (and column compression) of (lxp) <VERB>G =[A,B,C,D]</VERB> with l&lt;=p.</P>
    <P><VERB>G</VERB> is assumed to be fat (<VERB>l&lt;=p</VERB>) without zero on the imaginary axis
    and with a <VERB>D</VERB> matrix which is full row rank.</P>
    <P><VERB>G</VERB> must also be stable for having <VERB>Gbar</VERB> stable.</P>
    <P>
    Dual of <VERB>rowinout</VERB>.</P>
  </DESCRIPTION>
  <SEE_ALSO>
    <SEE_ALSO_ITEM>
      <LINK>syslin</LINK>
    </SEE_ALSO_ITEM>
    <SEE_ALSO_ITEM>
      <LINK>rowinout</LINK>
    </SEE_ALSO_ITEM>
  </SEE_ALSO>
</MAN>
