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兴发pt登录学报,2019,36(9):73-75https://doi.org/10.16039/j.cnki.cn22-1249.2019.09.017
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矩阵方程X+A*X-1A+B*X-2B=I正定解的一种求解方法
刘丽波,崔晓梅
兴发pt登录 理学院
A Solving Method of Positive Definite Solution About the equation
LIU Libo, CUI Xiaomei
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摘要

主要给出了矩阵方程X+A*X-1A+B*X-2B=I的正定解的一种求解方法,即Hermite正定解. 首先给出一个矩阵迭代序列;然后根据不动点理论给出了方程正定解存在的一个充分条件;最后通过给出一个具体的数值算例来说明本文方法的可行性。

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刘丽波
崔晓梅
关键词:矩阵方程迭代序列正定解正定矩阵半正定矩阵
Abstract:

In this paper, we study the positive definite solution of a class matrix equations, that is the Hermite positive definite solution of the equation. First ,we show a matrix iterative sequence,then, according to the fixed point theory, a sufficient condition for the existence of positive definite solutions is given. Finally, numerical examples show the feasibility of the proposed method.

Key words:matrix equationiterative sequencepositive definite solutionpositive definite matrixpositive semi-definite matrix
出版日期:2019-09-25发布日期:2019-09-25整期出版日期:2019-09-25
ZTFLH: 0151.21
引用本文:
刘丽波, 崔晓梅. 矩阵方程X+A*X-1A+B*X-2B=I正定解的一种求解方法[J]. 兴发pt登录学报, 2019, 36(9): 73-75.
LIU Libo, CUI Xiaomei. A Solving Method of Positive Definite Solution About the equation . Journal of Jilin Institute of Chemical Technology, 2019, 36(9): 73-75.
链接本文:
http://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2019.09.017http://xuebao.jlict.edu.cn/CN/Y2019/V36/I9/73
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