Extensions of inequalities for sector matrices
Abstract In this note, we first prove an inequality for sector matrices. This complements a result due to Kittaneh and Sakkijha (Linear Multilinear Algebra, 2018, https://doi.org/10.1080/03081087.2018.1441800) concerning accretive–dissipative matrices. And then we present two singular value inequali...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2069-8 |
| _version_ | 1818132581678317568 |
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| author | Song Lin Xiaohui Fu |
| author_facet | Song Lin Xiaohui Fu |
| author_sort | Song Lin |
| collection | DOAJ |
| description | Abstract In this note, we first prove an inequality for sector matrices. This complements a result due to Kittaneh and Sakkijha (Linear Multilinear Algebra, 2018, https://doi.org/10.1080/03081087.2018.1441800) concerning accretive–dissipative matrices. And then we present two singular value inequalities for sector matrices which are similar to Yang and Lu’s inequalities (J. Inequal. Appl. 2018:183, 2018). |
| first_indexed | 2024-12-11T08:39:06Z |
| format | Article |
| id | doaj.art-480687efb7c348d788131fcf37afedf9 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T08:39:06Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-480687efb7c348d788131fcf37afedf92022-12-22T01:14:18ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-05-01201911910.1186/s13660-019-2069-8Extensions of inequalities for sector matricesSong Lin0Xiaohui Fu1School of Mathematics and Statistics, Hainan Normal UniversitySchool of Mathematics and Statistics, Hainan Normal UniversityAbstract In this note, we first prove an inequality for sector matrices. This complements a result due to Kittaneh and Sakkijha (Linear Multilinear Algebra, 2018, https://doi.org/10.1080/03081087.2018.1441800) concerning accretive–dissipative matrices. And then we present two singular value inequalities for sector matrices which are similar to Yang and Lu’s inequalities (J. Inequal. Appl. 2018:183, 2018).http://link.springer.com/article/10.1186/s13660-019-2069-8Sector matricesAccretive-dissipative matricesNumerical rangesSchatten p-norms |
| spellingShingle | Song Lin Xiaohui Fu Extensions of inequalities for sector matrices Journal of Inequalities and Applications Sector matrices Accretive-dissipative matrices Numerical ranges Schatten p-norms |
| title | Extensions of inequalities for sector matrices |
| title_full | Extensions of inequalities for sector matrices |
| title_fullStr | Extensions of inequalities for sector matrices |
| title_full_unstemmed | Extensions of inequalities for sector matrices |
| title_short | Extensions of inequalities for sector matrices |
| title_sort | extensions of inequalities for sector matrices |
| topic | Sector matrices Accretive-dissipative matrices Numerical ranges Schatten p-norms |
| url | http://link.springer.com/article/10.1186/s13660-019-2069-8 |
| work_keys_str_mv | AT songlin extensionsofinequalitiesforsectormatrices AT xiaohuifu extensionsofinequalitiesforsectormatrices |