期刊论文

Tian, Zhaolu

英文

Journal of the Franklin Institute

0016-0032

2020

357

6

3656-3679

10.1016/j.jfranklin.2020.02.026

We would appreciate the anonymous reviewers for their valuable and estimable comments and suggestions, which greatly improve the presentation of this paper. The work is supported by the National Natural Science Foundation of China (Grant no. 11371075 ), the Hunan Key Laboratory of mathematical modeling and analysis in engineering, the NSF of Jiangsu Province (Grant no. BK20170064) and QingLan Project of Jiangsu Province.

本校为其他机构

In this paper, combining the Smith method [30] with inner-outer (IO) iteration [4], a multi-step Smith-IO (MSIO) iteration algorithm for solving the Sylvester matrix equation and coupled Lyapunov matrix equations (CLMEs) is proposed. Moreover, some convergence conditions and comparison results are also given for the MSIO iteration algorithm. Finally, several numerical examples are used to verify the effectiveness of the proposed nu...