非线性矩阵方程的厄米正定解

2009 International Conference on Computer Technology and Development Pub Date : 2009-11-13 DOI:10.1109/ICCTD.2009.217

Guangyuan Zhao

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引用次数: 0

摘要

本文研究了非线性矩阵方程$X+A* X^{-2} A+I$的厄米正定解。假设X是这个方程的厄米正定解。我们分别用X$和A$的特征值和特征向量讨论了X$和A$之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Hermitian Positive Definite Solution of Nonlinear Matrix Equations

In this paper, we study the Hermitian positive definite solutions of the nonlinear matrix equation $X+A* X^{-2} A+I$. Suppose $X$ is a Hermitian positive definite solution of this equation. We discuss the relation between $X$ and $A$ by the eigenvalue and eigenvector of $X$ and $A$ respectively.

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2009 International Conference on Computer Technology and Development

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