An iterative method for the least squares symmetric solutions of the generalized coupled Sylvester matrix equations

摘要：

In this paper, an iterative method is proposed to solve the minimum Frobenius norm residual problem: min‖ AXB + CYD-E MXN + GYH-F || with unknown symmetric matrices X and Y. By this method, its solutions can be obtained for any initial symmetric matrices X_1 and Y_1 in finite iterative steps. In addition, the least-norm solutions can also be obtained by choosing a special kind of initial symmetric matrices.

关键词： least squares symmetric solutions generalized coupled sylvester matrix equations least-norm solutions

作者: Sheng-Kun Li

作者单位: College of Mathematics Chengdu University of Information Technology Sichuan, China

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 650-653

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）