<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>eng</LANGUAGE>
  <TITLE>mucomp</TITLE>
  <TYPE>Scilab Function</TYPE>
  <DATE>April 1993</DATE>
  <SHORT_DESCRIPTION name="mucomp"> mu (structured singular value) calculation</SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
    <CALLING_SEQUENCE_ITEM>[BOUND, D, G] = mucomp(Z, K, T)  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
    <PARAM_INDENT>
      <PARAM_ITEM>
        <PARAM_NAME>Z</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: the complex n-by-n matrix for which the structured singular value is to be computed</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>K</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: the vector of length m containing the block structure of the uncertainty.</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>T</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: the vector of length m indicating the type of each block. T(I) = 1 if the corresponding block is real T(I) = 2 if the corresponding block is complex.</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>BOUND</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: the upper bound on the structured singular value.</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>D, G</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: vectors of length n containing the diagonal entries of the diagonal matrices D and G, respectively, such that the matrix  Z'*D^2*Z + sqrt(-1)*(G*Z-Z'*G) - bound^2*D^2 is negative semidefinite.</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
    </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
    <P>
     To compute an upper bound on the structured singular value for a given square complex matrix and given block structure of the uncertainty.</P>
  </DESCRIPTION>
  <SECTION label="Reference">
    <P>
    Slicot routine AB13MD.</P>
  </SECTION>
</MAN>
