equil1(1)

NAME
equil1 - balancing (nonnegative) pair of matrices

CALLING SEQUENCE
[T [,siz]]=equil1(P,Q [,tol])

PARAMETERS

P, Q
    : two non-negative symmetric matrices

T   : nonsingular matrix

siz : vector of three integers

tol : threshold

DESCRIPTION
equil1 computes t such that:

P1=T*P*T' and Q1=inv(T)'*Q*inv(T) are as follows:

P1 = diag(S1,S2,0,0) and Q1 = diag(S1,0,S3,0) with S1,S2,S3 positive and diagonal matrices with respective dimensions siz=[n1,n2,n3]

tol is a threshold for rank determination in SVD

SEE ALSO
balreal, minreal, equil

AUTHOR
S. Steer 1987