Newton's method for solving a class of nonlinear matrix equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:256

Article

Liu, Panpan¹  Zhang, Shugong¹ 

[1] Jilin Univ, Inst Math, Key Lab Symbol Computat & Knowledge Engn, Minist Educ, Changchun 130012, Peoples R China

关键词: Nonlinear matrix equations;    Properties of solutions;    Newton's iterative method;   

DOI  :  10.1016/j.cam.2013.07.038

来源: Elsevier

【 摘 要 】

In this paper, a class of nonlinear matrix equations X = Q + A(H) (I circle times X - C)(-1) A is considered. An equivalent form of this equation is derived, and the properties of the solutions are studied. Then Newton's iterative method is applied to solve this equivalent one. Finally, two numerical examples are given to illustrate the efficiency of Newton's method. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

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