Singular values, diagonal elements, and extreme matrices

Miranda HF.

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Singular values, diagonal elements, and extreme matrices

机译：奇异值，对角线元素和极限矩阵

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For complex matrices A and B there are inequalities related to the diagonal elements of AB and the singular values of A and B. We study the conditions on the matrices for which those inequalities become equalities. In all cases, the conditions are both necessary and sufficient. (C) 2000 Elsevier Science Inc. All rights reserved. [References: 15]

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《Linear Algebra and its Applications 》 |2000年第3期| 共9页
作者
Miranda HF.;
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正文语种 eng
中图分类数理逻辑、数学基础 ;
关键词
Singular values; Diagonal elements; Extreme cases; Trace inequality; Convexity;

机译：奇异值对角元素极端情况迹不等式凸性;

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专利

1. Singular values, diagonal elements, and extreme matrices [J] . Miranda HF. Linear Algebra and its Applications . 2000 ,第1a3期

机译：奇异值，对角线元素和极限矩阵
2. Pre-order between diagonal elements and singular values of real matrices [J] . Lau Pan-shun Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2019 ,第9a12期

机译：在对角元素和实际矩阵的奇异值之间的预订
3. Some results on matrices with prescribed diagonal elements and singular values [J] . Canadian mathematical bulletin . 1976 ,第1976期

机译：对带有规定对角线元素和奇异值的矩阵的一些结果
4. Non-asymptotic Theory of Random Matrices: Extreme Singular Values [C] . Mark Rudelson, Roman Vershynin International Congress of Mathematicians . 2010

机译：无渐近理论的随机矩阵：极端奇异值
5. Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices. [D] . Pugliese, Alessandro. 2008

机译：参数相关矩阵的特征值和奇异值合并的理论和数值方面。
6. Analysis of Metabolic Capabilities Using Singular Value Decomposition of Extreme Pathway Matrices [O] . Nathan D. Price, Jennifer L. Reed, Jason A. Papin, 2003

机译：使用极端路径矩阵的奇异值分解来分析代谢能力
7. Singular values, diagonal elements, and extreme matrices [O] . Miranda Hector F. 2000

机译：奇异值，对角线元素和极限矩阵
8. Singular Values and Diagonal Elements of Complex Symmetric Matrices [R] . Thompson, R. C. 1978

机译：复对称矩阵的奇异值和对角元素

Singular values, diagonal elements, and extreme matrices

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