A Characterization on Singular Value Inequalities of Matrices
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 va...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1657381 |
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| _version_ | 1849402299081818112 |
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| author | Wei Dai Yongsheng Ye |
| author_facet | Wei Dai Yongsheng Ye |
| author_sort | Wei Dai |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8ae0b0e7d95f4494bef033ec6e3cc415 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8ae0b0e7d95f4494bef033ec6e3cc4152025-08-20T03:37:34ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/16573811657381A Characterization on Singular Value Inequalities of MatricesWei Dai0Yongsheng Ye1School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, ChinaSchool of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, ChinaWe 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.http://dx.doi.org/10.1155/2020/1657381 |
| spellingShingle | Wei Dai Yongsheng Ye A Characterization on Singular Value Inequalities of Matrices Journal of Function Spaces |
| title | A Characterization on Singular Value Inequalities of Matrices |
| title_full | A Characterization on Singular Value Inequalities of Matrices |
| title_fullStr | A Characterization on Singular Value Inequalities of Matrices |
| title_full_unstemmed | A Characterization on Singular Value Inequalities of Matrices |
| title_short | A Characterization on Singular Value Inequalities of Matrices |
| title_sort | characterization on singular value inequalities of matrices |
| url | http://dx.doi.org/10.1155/2020/1657381 |
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