关于奇异值的多数化的注意事项

IF 0.6 4区数学 Q3 MATHEMATICS

Operators and Matrices Pub Date : 2022-01-01 DOI:10.7153/oam-2022-16-65

Jianguo Zhao

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引用次数: 0

摘要

．在这篇笔记中，我们主要研究矩阵的乘积和的多数化。首先，我们给出了以下结果:设A i, B i, X i∈M n (C) (i = 1,2，···，M)，其中X i (i = 1,2，···，M)是可逆矩阵，设h是一个在[0，+∞)上的非负递增连续函数，h(0) = 0。若f, g是[0，+∞)上的非负连续函数，且对于t∈[0，+∞)，f (t) g (t) = t，则

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Notes on majorizations for singular values

. In this note, we mainly investigate the majorizations on the products and sums of matrices. Firstly, we present the following result: Let A i , B i and X i ∈ M n ( C ) ( i = 1 , 2 , ··· , m ) with X i ( i = 1 , 2 , ··· , m ) are invertible matrices, and let h be a nonnegative increasing continuous function on [ 0 , + ∞ ) with h ( 0 ) = 0. If f , g are nonnegative continuous functions on [ 0 , + ∞ ) with f ( t ) g ( t ) = t for t ∈ [ 0 , + ∞ ) , then

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来源期刊

Operators and Matrices 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

7 months

期刊介绍： ''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews. ''OaM'' is published quarterly, in March, June, September and December.