文章基本信息

标题：A new approach for computing the solution of Sylvester matrix equation
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作者：Amir Sadeghi
期刊名称：Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN：2194-3907
电子版ISSN：2194-3907
出版年度：2016
卷号：2016
期号：2
页码：66-76
DOI：10.5899/2016/jiasc-00094
出版社：ISPACS GmbH
摘要：The aim of this article is modifying the well-known homotopy perturbation method (HPM) to yield the solution of Sylvester matrix equation. Moreover, conditions are deduced to check the convergence of the homotopy series. The numerical implementations will be conducted to measure the accuracy and speed of the homotopy series. Finally, some applications of this linear matrix equation are given.
关键词：Sylvester matrix equation; Homotopy perturbation method; Convergence; Block diagonalization; Matrix sign function