File: equil.man

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.TH equil 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an 
.SH NAME
equil - balancing of pair of symmetric matrices
.SH CALLING SEQUENCE
.nf
T=equil(P,Q)
.fi
.SH PARAMETERS
.TP 10
P, Q
: two positive definite symmetric matrices
.TP
T
: nonsingular matrix
.SH DESCRIPTION
\fVequil\fR returns \fVt\fR such that:
.LP
\fVT*P*T'\fR and  \fVinv(T)'*Q*inv(T)\fR  are both equal to a same 
diagonal and positive matrix.
.SH EXAMPLE
.nf
P=rand(4,4);P=P*P';
Q=rand(4,4);Q=Q*Q';
T=equil(P,Q)
clean(T*P*T')
clean(inv(T)'*Q*inv(T))
.fi
.SH SEE ALSO
equil1, balanc, ctr_gram