On the matrix equation X − A∗X−nA = I

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摘要

The nonlinear matrix equation X − A∗X−nA = I is discussed (n is a positive integer). Convergence of the iterative methods proposed by El-Sayed [Comput. Math. Appl. 41 (2001) 579–588] is proved under weaker restrictions for the matrix A and an arbitrary integer n.

论文关键词：Nonlinear matrix equation,Positive definite solution,Cauchy matrix sequence

论文评审过程：Available online 18 December 2004.

论文官网地址：https://doi.org/10.1016/j.amc.2004.10.032