A New Method for Solving Matrix Equation AXB + CXT D = E

Mathematical and Computational Applications

Wang, Minghui¹ 

关键词: Iterative algorithm;    Kronecker product;    LSQR;    Matrix equation;    Least Squares;   

DOI  :  10.3390/mca18010012

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this paper, we propose a new iterative algorithm to solve the matrix equation AXB + CXT 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 + CXT D = E, Appl. Math. Comput. 187, 622-629, 2007]

【 授权许可】

CC BY