A Characterization on Singular Value Inequalities of Matrices
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-18
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where sjX denotes the j-th largest singular values of X.
It can imply not only some well-known singular value inequalities for sums and direct sums of matrices but also Zhan’s result related to singular values of differences of positive semidefinite matrices.
In addition, some related and new inequalities are also obtained.
American Psychological Association (APA)
Dai, Wei& Ye, Yongsheng. 2020. A Characterization on Singular Value Inequalities of Matrices. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1185193
Modern Language Association (MLA)
Dai, Wei& Ye, Yongsheng. A Characterization on Singular Value Inequalities of Matrices. Journal of Function Spaces No. 2020 (2020), pp.1-4.
https://search.emarefa.net/detail/BIM-1185193
American Medical Association (AMA)
Dai, Wei& Ye, Yongsheng. A Characterization on Singular Value Inequalities of Matrices. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1185193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185193
