control_systems_torbox 0.2.1

Control systems toolbox
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<HTML>
<HEAD><TITLE>MB01SS - SLICOT Library Routine Documentation</TITLE>
</HEAD>
<BODY>

<H2><A Name="MB01SS">MB01SS</A></H2>
<H3>
Symmetric scaling of a symmetric matrix
</H3>
<A HREF ="#Specification"><B>[Specification]</B></A>
<A HREF ="#Arguments"><B>[Arguments]</B></A>
<A HREF ="#Method"><B>[Method]</B></A>
<A HREF ="#References"><B>[References]</B></A>
<A HREF ="#Comments"><B>[Comments]</B></A>
<A HREF ="#Example"><B>[Example]</B></A>

<P>
<B><FONT SIZE="+1">Purpose</FONT></B>
<PRE>
  To scale a symmetric N-by-N matrix A using the row and column
  scaling factors stored in the vector D.

</PRE>
<A name="Specification"><B><FONT SIZE="+1">Specification</FONT></B></A>
<PRE>
      SUBROUTINE MB01SS( JOBS, UPLO, N, A, LDA, D )
C     .. Scalar Arguments ..
      CHARACTER          JOBS, UPLO
      INTEGER            LDA, N
C     .. Array Arguments ..
      DOUBLE PRECISION   A(LDA,*), D(*)

</PRE>
<A name="Arguments"><B><FONT SIZE="+1">Arguments</FONT></B></A>
<P>

<B>Mode Parameters</B>
<PRE>
  JOBS    CHARACTER*1
          Specifies the scaling operation to be done, as follows:
          = 'D':  row and column scaling with D, i.e., A will be
                  transformed to diag(D)*A*diag(D);
          = 'I':  row and column scaling with inv(D), i.e., A will
                  be transformed to inv(diag(D))*A*inv(diag(D)).

  UPLO    CHARACTER*1
          Specifies which triangle of the matrix A is stored, as
          follows:
          = 'U':  Upper triangle is stored;
          = 'L':  Lower triangle is stored.

</PRE>
<B>Input/Output Parameters</B>
<PRE>
  N       (input) INTEGER
          The order of the matrix A.  N &gt;= 0.

  A       (input/output) DOUBLE PRECISION array, dimension (LDA,N)
          On entry, the leading N-by-N upper triangular part
          (if UPLO = 'U') or lower triangular part (if UPLO = 'L')
          of this array must contain the upper triangular part or
          lower triangular part, respectively, of the symmetric
          matrix A.
          On exit, the leading N-by-N upper triangular part
          (if UPLO = 'U') or lower triangular part (if UPLO = 'L')
          of this array contains the corresponding triangular part
          of the matrix diag(D)*A*diag(D), if JOBS = 'D', or of the
          matrix inv(diag(D))*A*inv(diag(D)), JOBS = 'I'.
          The stricly lower triangular part (if UPLO = 'U') or
          stricly upper triangular part (if UPLO = 'L') is not
          referenced.

  LDA     INTEGER
          The leading dimension of the array A.  LDA &gt;= max(1,M).

  D       (input) DOUBLE PRECISION array, dimension (N)
          The diagonal elements of the diagonal matrix D.

</PRE>

<A name="Comments"><B><FONT SIZE="+1">Further Comments</FONT></B></A>
<PRE>
  None
</PRE>

<A name="Example"><B><FONT SIZE="+1">Example</FONT></B></A>
<P>
<B>Program Text</B>
<PRE>
  None
</PRE>
<B>Program Data</B>
<PRE>
  None
</PRE>
<B>Program Results</B>
<PRE>
  None
</PRE>

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