Key Words:Matrix algebra;Algorithms - Iterative methods;Iterative algorithm - Kronecker product - Least Square - LSQR - Matrix equations
Abstract:In this paper, we propose a new iterative algorithm to solve the matrix equation = AXB+CX<sup>T</sup> D=E . The algorithm can obtain the minimal Frobenius norm solution or the least-squares solution with minimal Frobenius norm. Our algorithm is better than Algorithm II of the paper [M. Wang, etc., Iterative algorithms for solving the matrix equation = AXB+CX<sup>T</sup> D=E , Appl. Math. Comput. 187, 622-629, 2007].
Volume:18
Issue:1
Translation or Not:no