Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices

Minghua Lin; Pingping Zhang

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Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices

机译：统一汤普森的结果以及Fiedler和Markham在块正面矩阵上的结果

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Abstract

We prove a determinant inequality for block positive definite matrices which unifies a result of Thompson (1961) and a result of Fiedler and Markham (1994).

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机译：<！[cdata [ Abstract

我们证明了阻止积极确定矩阵的决定因素不等式，该矩阵统一汤普森（1961）的结果和Fiedler和Markham（1994）的结果。 ]]>

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来源
《Linear Algebra and its Applications》 |2017年第2017期|共6页
作者
Minghua Lin; Pingping Zhang;
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作者单位

Department of Mathematics Shanghai University;

School of Science Chongqing University of Posts and Telecommunications;

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原文格式 PDF
正文语种 eng
中图分类线性代数;
关键词
Elementary symmetric function; Determinant inequality; Positive definite matrix;

机译：基本对称功能;决定因素;正定矩阵;

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专利

1. Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices [J] . Minghua Lin, Pingping Zhang Linear Algebra and its Applications . 2017,第期

机译：统一汤普森的结果以及Fiedler和Markham在块正面矩阵上的结果
2. Diagonal blocks of two mutually inverse positive definite block matrices [J] . Fiedler Miroslav, Pták Vlastimil Czechoslovak Mathematical Journal . 1997,第1期

机译：两个相互逆的正定块矩阵的对角块
3. On a result of Bo(z) over dotejko on extension of positive definite kernels [J] . Qiu Yanqi Bulletin of the London Mathematical Society . 2019,第Pta5期

机译：关于Dotejko的Bo（Z）在积极明确核的扩展
4. Szasz's Inequalitices for Meta-Positive Definite Matrices and Similar Generalized Positive Definite Matrices [C] . Yanxi Li The Third International Workshop on Applied Matrix Theory（第三届国际矩阵分析与应用会议）论文集 . 2009

机译：亚正定矩阵和类似广义正定矩阵的Szasz不等式
5. Statistical Analysis of Random Symmetric Positive Definite Matrices via Eigen-Decomposition [D] . Rooks, Brian. 2018

机译：基于特征分解的随机对称正定矩阵的统计分析
6. mbend: an R package for bending non-positive-definite symmetric matrices to positive-definite [O] . Mohammad Ali Nilforooshan 2020

机译：MBEND：用于弯曲非正定对称矩阵的R包到正定的
7. Geometric properties of positive definite matrices cone with respect to the Thompson metric [O] . Ito Masatoshi, Seo Yuki, Yamazaki Takeaki, 2011

机译：关于Thompson度量的正定矩阵锥的几何性质。

Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices

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