Refinements of Kantorovich Inequality for Hermitian Matrices
Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/483624 |
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| _version_ | 1832548351847956480 |
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| author | Feixiang Chen |
| author_facet | Feixiang Chen |
| author_sort | Feixiang Chen |
| collection | DOAJ |
| description | Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results. |
| format | Article |
| id | doaj-art-c52a7e7ac3df4f95a2f3404111047dd0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c52a7e7ac3df4f95a2f3404111047dd02025-02-03T06:14:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/483624483624Refinements of Kantorovich Inequality for Hermitian MatricesFeixiang Chen0School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404000, ChinaSome new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.http://dx.doi.org/10.1155/2012/483624 |
| spellingShingle | Feixiang Chen Refinements of Kantorovich Inequality for Hermitian Matrices Journal of Applied Mathematics |
| title | Refinements of Kantorovich Inequality for Hermitian Matrices |
| title_full | Refinements of Kantorovich Inequality for Hermitian Matrices |
| title_fullStr | Refinements of Kantorovich Inequality for Hermitian Matrices |
| title_full_unstemmed | Refinements of Kantorovich Inequality for Hermitian Matrices |
| title_short | Refinements of Kantorovich Inequality for Hermitian Matrices |
| title_sort | refinements of kantorovich inequality for hermitian matrices |
| url | http://dx.doi.org/10.1155/2012/483624 |
| work_keys_str_mv | AT feixiangchen refinementsofkantorovichinequalityforhermitianmatrices |