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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
changed configure.in to build scilab's own malloc.o, closes: #255869

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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>UNOBS</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="unobs"> unobservable subspace</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>[n,[U]]=unobs(A,C,[tol])   </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>A, C</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: real matrices</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>tol</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: tolerance used when evaluating ranks (QR factorizations).</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>n</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: dimension of unobservable subspace.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>U</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: orthogonal change of basis which puts <VERB>(A,B)</VERB> in canonical form.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P><VERB>[n,[U]]=unobs(A,C,[tol])</VERB> gives the unobservable form of an <VERB>(A,C)</VERB> 
 
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    pair.
 
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    The <VERB>n</VERB> first columns of <VERB>U</VERB> make a basis for the unobservable
 
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    subspace.</P>
 
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    <P>
 
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    The <VERB>(2,1)</VERB> block (made of last <VERB>nx-n</VERB> rows and <VERB>n</VERB> first 
 
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    columns) of <VERB>U'*A*U</VERB> is zero and and the <VERB>n</VERB> first columns 
 
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    of <VERB>C*U</VERB> are zero.</P>
 
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  </DESCRIPTION>
 
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  <EXAMPLE>
 
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<![CDATA[
 
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A=diag([1,2,3]);C=[1,0,0];
 
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unobs(A,C)
 
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 ]]>
 
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  </EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>contr</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>contrss</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>canon</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>cont_mat</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>spantwo</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>dt_ility</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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</MAN>