An iterative method for the least squares skew-symmetric solution of the linear matrix equation AXB=C
Shaohui Wang · Journal of Henan Polytechnic University · 2009
An iterative method is constructed to solve the least squares skew-symmetric solution of the matrix equation AXB=C.By this method,in any given initial skew-symmetric matrix X0,the skew-symmetric solution can be obtained within finite iteration steps in the absence of roundoff errors.Also,the solution with least norm can be obtained by choosing a special kind of initial skew-symmetric matrix.The unique optimal approximation solution to a given matrix can be obtained by finding the least norm skew-symmetric solution of the new minimum residual problem:min ‖AB-‖.