Iterative solutions to matrix equations of the form A(i)XB(i) = F-i

作者：Ding, Jie^*; Liu, Yanjun; Ding, Feng

来源：Computers & Mathematics with Applications, 2010, 59(11): 3500-3507.

DOI：10.1016/j.camwa.2010.03.041

• Matrix equations
• Identification
• Parameter estimation
• Iterative algorithms

This paper is concerned with the numerical solutions to the linear matrix equations A(1)XB(1) = F-1 and A(2)XB(2) = F-2; two iterative algorithms are presented to obtain the solutions. For any initial value, it is proved that the iterative solutions obtained by the proposed algorithms converge to their true values. Finally, simulation examples are given to verify the proposed convergence theorems.

• 出版日期2010-6
• 单位江南大学