Modification on the convergence results of the Sylvester matrix equation AX+XB=C
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DOI码：10.1016/j.jfranklin.2022.02.021
发表刊物：Journal of the Franklin Institute
关键字：Gradient iterative, Sylvester matrix equation, iterative factor, relaxed gradient iterative, modified gradient iterative
摘要：In this paper, we investigate some convergence results of the gradient based iterative algorithm for solving the Sylvester matrix equation $AX+XB=C$. We first review the development of the gradient based iterative algorithm and correct mistakes of some convergence results. Then, the idea of "two iterative factors" is applied to propose some new relaxed gradient iterative algorithms to improve the convergence performance of their previous algorithms. Finally, some numerical examples are taken to illustrate the correctness of the concluded results.
第一作者：Zebin Chen
论文类型：期刊论文
通讯作者：Xuesong Chen
卷号：359
期号：7
页面范围：3126-3147
是否译文：否
发表时间：2022-05-01
收录刊物：SCI
发布期刊链接：https://doi.org/10.1016/j.jfranklin.2022.02.021
附件：