关于矩阵海因茨均值和雷尼发散

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-07-16 DOI:10.1080/03081087.2024.2379397

Raluca Dumitru, Jose A. Franco

引用次数: 0

摘要

Bhatia、Lim 和 Yamazaki 获得了关于正半有限矩阵的 Kubo-Ando Heinz 均值的规范最小性的结果。也就是说，他们证明了|||A♯αB+A♯1-αB|||≤|||AαB1-α+A1-αBα|||，对于...

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On the matrix Heinz means and Rényi divergences

Bhatia, Lim and Yamazaki obtained results on the norm minimality of the Kubo-Ando Heinz means of positive semidefinite matrices. Namely, they proved that |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||, for...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.