Key Words:matrix equation; centrosymmetric matrix; least squares problem; LSQR; iterative algorithm
Abstract:In this article, we propose an iterative algorithm to compute the minimum norm least-squares solution of AXB + CYD = E, based on a matrix form of the algorithm LSQR for solving the least squares problem. We then apply this algorithm to compute the minimum norm least-squares centrosymmetric solution of min(X) parallel to AXB - E parallel to(F). Numerical results are provided to verify the efficiency of the proposed method.
Volume:87
Issue:6
Translation or Not:no