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  • 标题:A new approach for computing the solution of Sylvester matrix equation
  • 本地全文:下载
  • 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
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