Date: May 24, 2012 3:39 AM
Author: Frank
Subject: Solving equation

Hello. I have a matrix equation problem.

Ax = b, |x_i| = 1

where the dimensions of the complex matrices A, x, b are (M-2)-by-M, M-by-1 and (M-2)-by-1, respectively. The problem has a constraint that all elements of x should have magnitude 1.

How can I solve this problem?
Is the solution unique?

Thanks a lot.