Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices

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Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices

机译：Wenzel猜想的证明关于排名换向器的奇异值

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We determine the region of singular values of the commutator XY - YX when X and Y vary over the set of norm one rank one matrices. This answers in affirmative a conjecture raised in Wenzel (2015) [7]. (C) 2020 Elsevier Inc. All rights reserved.

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《Linear Algebra and its Applications》 |2020年第2020期|共10页
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正文语种 eng
中图分类线性代数;
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Singular values; Commutator;

机译：奇异值;换向器;
入库时间 2022-08-20 04:53:35

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专利

1. Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices [J] . Linear Algebra and its Applications . 2020,第期

机译：Wenzel猜想的证明关于排名换向器的奇异值
2. Singular Values, Eigenvalues and Diagonal Elements Of The Commutator Of 2x2 Rank One Matrices [J] . Che-Man Cheng, Yaru Liang The Electronic Journal of Linear Algebra . 2020,第36期

机译：2x2换向器的奇异值，特征值和对角线元素等级为一个矩阵
3. A strange phenomenon for the singular values of commutators with rank one matrices [J] . Wenzel David The Electronic Journal of Linear Algebra . 2015,第1期

机译：具有一阶矩阵的换向器的奇异值的奇异现象
4. Rank identities of commutator and Jordan product of scalar idempotent matrices independently of coefficients [C] . Mei-xiang Chen, Zhong-peng Yang MAO;International conference of matrices and operators . 2011

机译：标量幂等矩阵的换向器和约旦积的秩恒等式与系数无关
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. COMMUTATORS OF SINGULAR INTEGRAL OPERATORS [O] . A. P. Calderón 1965

机译：奇异积分算子的交换子
7. Proof of Böttcher and Wenzel’s conjecture on commutator norms for 3-by-3 matrices [O] . László L. 2007

机译：Böttcher和Wenzel关于3×3矩阵换向器范数的猜想的证明

Proof of Wenzel's conjecture concerning singular values of the commutator of rank one matrices

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