非线性矩阵方程Xs+A*X-tA=Q的Hermitian正定解的界的新估计（英文）

论文摘要

研究了非线性矩阵方程Xs+A*X-tA=Q的Hermitian正定解的范围和存在条件,其中A为n阶非奇异复矩阵,Q为n阶Hermitian正定矩阵,参数s,t> 0.基于矩阵几何理论、相关矩阵不等式和线性代数技术,针对参数s,t的不同取值范围,给出了Hermitian正定解的存在区间和方程可解的必要条件.比较已有的相关结果,所给出的Hermitian正定解的上界和下界估计更加精准,适用范围更广.

论文目录

文章来源

类型: 期刊论文

作者: 蔡静,陈建龙

关键词: 非线性,矩阵方程,正定解,解的界,矩阵不等式

来源: Journal of Southeast University(English Edition) 2019年01期

年度: 2019

分类: 工程科技Ⅱ辑,基础科学

专业: 数学

单位: 东南大学数学学院,湖州师范学院理学院

基金: The National Natural Science Foundation of China(No.11371089),the China Postdoctoral Science Foundation(No.2016M601688)

分类号: O241.7

页码: 142-146

总页数: 5

文件大小: 174K

下载量: 60

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标签：非线性论文;  矩阵方程论文;  正定解论文;  解的界论文;  矩阵不等式论文;