Iterative solutions to matrix equations of form

— To solve systems of linear matrix equations A1XB1 = F1 and A2XB2 = F2, we present iterative algorithms to get the solutions. For any initial value, we prove that the iterative solutions consistently converge to the true one. The proposed algorithms are concerned on new iterative solutions to the equations under some condition. Finally, a simulation example is given and the results verify the theoretical findings.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Jie Ding, Yanjun Liu, Feng Ding
• Keywords: CDC 2009, Control Systems, Iterative Algorithms, Iterative Solutions, Linear Matrix Equations