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<HTML>
<HEAD><TITLE>MA02OD - SLICOT Library Routine Documentation</TITLE>
</HEAD>
<BODY>
<H2><A Name="MA02OD">MA02OD</A></H2>
<H3>
Compute the number of zero rows (and zero columns) of a real (skew-)Hamiltonian 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 compute the number of zero rows (and zero columns) of a real
(skew-)Hamiltonian matrix,
( A D )
H = ( ).
( E +/-A' )
</PRE>
<A name="Specification"><B><FONT SIZE="+1">Specification</FONT></B></A>
<PRE>
INTEGER FUNCTION MA02OD( SKEW, M, A, LDA, DE, LDDE )
C .. Scalar Arguments ..
CHARACTER SKEW
INTEGER LDA, LDDE, M
C .. Array Arguments ..
DOUBLE PRECISION A( LDA, * ), DE( LDDE, * )
</PRE>
<B><FONT SIZE="+1">Function Value</FONT></B>
<PRE>
MA02OD INTEGER
The number of zero rows.
</PRE>
<A name="Arguments"><B><FONT SIZE="+1">Arguments</FONT></B></A>
<P>
<B>Mode Parameters</B>
<PRE>
SKEW CHARACTER*1
Specifies whether the matrix is Hamiltonian or skew-
Hamiltonian as follows:
= 'H': The matrix is Hamiltonian;
= 'S': The matrix is skew-Hamiltonian.
</PRE>
<B>Input/Output Parameters</B>
<PRE>
M (input) INTEGER
The order of the matrices A, D, and E. M >= 0.
A (input) DOUBLE PRECISION array, dimension (LDA,M)
The leading M-by-M part of this array must contain the
matrix A.
LDA INTEGER
The leading dimension of the array A. LDA >= max(1,M).
DE (input) DOUBLE PRECISION array, dimension (LDDE,M+1)
The leading M-by-M lower triangular part of this array
must contain the lower triangular part of the (skew-)
symmetric matrix E, and the M-by-M upper triangular
part of the submatrix in the columns 2 to M+1 of this
array must contain the upper triangular part of the
(skew-)symmetric matrix D. If S is skew-Hamiltonian, the
parts containing the diagonal and the first superdiagonal
of this array, which should be zero, are not referenced.
LDDE INTEGER
The leading dimension of the array DE. LDDE >= MAX(1,M).
</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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