An iterative algorithm for solving a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices |
| |
Authors: | Tongxin Yan and Changfeng Ma |
| |
Affiliation: | College of Mathematics and Informatics & FJKLMAA, Fujian Normal University and College of Mathematics and Informatics & FJKLMAA, Fujian Normal University |
| |
Abstract: | This paper presents an iterative algorithm to solve a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices. When the matrix equations are consistent, the bisymmetric or skew-anti-symmetric solutions can be obtained within finite iteration steps in the absence of round-off errors for any initial bisymmetric or skew-anti-symmetric matrices by the proposed iterative algorithm. In addition, we can obtain the least norm solution by choosing the special initial matrices. Finally, numerical examples are given to demonstrate the iterative algorithm is quite efficient. The merit of our method is that it is easy to implement. |
| |
Keywords: | Generalized coupled Sylvester-transpose matrix equations Bisymmetric matrix Skew-anti-symmetric matrix Iterative algorithm. |
|
| 点击此处可从《Journal of Applied Analysis & Computation》浏览原始摘要信息 |
|
点击此处可从《Journal of Applied Analysis & Computation》下载免费的PDF全文 |