|
|
In article <1162252140.218225.224600@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
amitsoni.1984@xxxxxxxxx <amitsoni.1984@xxxxxxxxx> wrote:
>Hi,
>
>I have got this interesting optimization problem which I need to code
>over Matlab. It goes like this:
>
>I am given 5 4X4 matrices, say A,B,C,D,E. I have to find 5 unitary
>matrices Q,R,S,T,U such that the absolute value of trace of
>(AQ+BR+CS+DT+EU) is minimized.
>
>Can anyone help me with this?
Not with the Matlab, but you might note that for any n x n
matrix A (with n > 1) there is a unitary matrix Q such that
trace(AQ) = 0. This can be obtained with the help of the
singular value decomposition of A.
Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
|
|