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<HTML>
<HEAD><TITLE>MB03BA - SLICOT Library Routine Documentation</TITLE>
</HEAD>
<BODY>
<H2><A Name="MB03BA">MB03BA</A></H2>
<H3>
Computing maps for Hessenberg index and signature array
</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 compute the suitable maps for Hessenberg index H and
signature array S. Auxiliary routine for the periodic QZ
algorithms.
</PRE>
<A name="Specification"><B><FONT SIZE="+1">Specification</FONT></B></A>
<PRE>
SUBROUTINE MB03BA( K, H, S, SMULT, AMAP, QMAP )
C .. Scalar Arguments ..
INTEGER K, H, SMULT
C .. Array Arguments ..
INTEGER AMAP(*), QMAP(*), S(*)
</PRE>
<A name="Arguments"><B><FONT SIZE="+1">Arguments</FONT></B></A>
<P>
</PRE>
<B>Input/Output Parameters</B>
<PRE>
K (input) INTEGER
The number of factors. K >= 1.
H (input) INTEGER
Index which corresponds to A_1.
S (input) INTEGER array, dimension (K)
The signature array. Each entry of S must be 1 or -1.
SMULT (output) INTEGER
Signature multiplier. Entries of S are virtually
multiplied by SMULT.
AMAP (output) INTEGER array, dimension (K)
The map for accessing the factors, that is,
if AMAP(I) = J, then the factor A_I is stored at the J-th
position in A.
QMAP (output) INTEGER array, dimension (K)
The map for accessing the orthognal transformation
matrices, that is, if QMAP(I) = J, then the matrix Q_I is
stored at the J-th position in Q.
</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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