Some matrix inequalities related to norm and singular values
In this short note, we presented a new proof of a weak log-majorization inequality for normal matrices and obtained a singular value inequality related to positive semi-definite matrices. What's more, we also gave an example to show that some conditions in an existing norm inequality are necess...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024207?viewType=HTML |
| _version_ | 1797324495147499520 |
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| author | Xiaoyan Xiao Feng Zhang Yuxin Cao Chunwen Zhang |
| author_facet | Xiaoyan Xiao Feng Zhang Yuxin Cao Chunwen Zhang |
| author_sort | Xiaoyan Xiao |
| collection | DOAJ |
| description | In this short note, we presented a new proof of a weak log-majorization inequality for normal matrices and obtained a singular value inequality related to positive semi-definite matrices. What's more, we also gave an example to show that some conditions in an existing norm inequality are necessary. |
| first_indexed | 2024-03-08T05:56:55Z |
| format | Article |
| id | doaj.art-b06517e4ce6b4666be48965aeffac157 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T05:56:55Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-b06517e4ce6b4666be48965aeffac1572024-02-05T01:32:58ZengAIMS PressAIMS Mathematics2473-69882024-01-01924205421010.3934/math.2024207Some matrix inequalities related to norm and singular valuesXiaoyan Xiao0Feng Zhang1 Yuxin Cao2Chunwen Zhang 31. Department of Mathematics, Southeast University Chengxian College, Nanjing 210000, China1. Department of Mathematics, Southeast University Chengxian College, Nanjing 210000, China2. Department of Electrical and Computer Engineering, Southeast University Chengxian College, Nanjing 210000, China2. Department of Electrical and Computer Engineering, Southeast University Chengxian College, Nanjing 210000, ChinaIn this short note, we presented a new proof of a weak log-majorization inequality for normal matrices and obtained a singular value inequality related to positive semi-definite matrices. What's more, we also gave an example to show that some conditions in an existing norm inequality are necessary.https://www.aimspress.com/article/doi/10.3934/math.2024207?viewType=HTMLsingular valuesweak log-majorizationnormal matrices |
| spellingShingle | Xiaoyan Xiao Feng Zhang Yuxin Cao Chunwen Zhang Some matrix inequalities related to norm and singular values AIMS Mathematics singular values weak log-majorization normal matrices |
| title | Some matrix inequalities related to norm and singular values |
| title_full | Some matrix inequalities related to norm and singular values |
| title_fullStr | Some matrix inequalities related to norm and singular values |
| title_full_unstemmed | Some matrix inequalities related to norm and singular values |
| title_short | Some matrix inequalities related to norm and singular values |
| title_sort | some matrix inequalities related to norm and singular values |
| topic | singular values weak log-majorization normal matrices |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024207?viewType=HTML |
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