Properties of core-EP matrices and binary relationships
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909244100444160 |
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| author | Kheirandish, Ehsan Salemi, Abbas Thome, Néstor |
| author_facet | Kheirandish, Ehsan Salemi, Abbas Thome, Néstor |
| contents | In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with $A$ and by means of it, some properties and equivalent conditions of core-EP matrices can be obtained. Also, properties of MPD, DMP, and CMP inverses are studied and we prove that in the class of core-EP matrices, DMP, MPD, and Drazin inverses are the same. Moreover, DMP and MPD binary relation orders are introduced and the relationship between these orders and other binary relation orders are considered. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_02602 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Properties of core-EP matrices and binary relationships Kheirandish, Ehsan Salemi, Abbas Thome, Néstor Numerical Analysis 15A09, 15A45 In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with $A$ and by means of it, some properties and equivalent conditions of core-EP matrices can be obtained. Also, properties of MPD, DMP, and CMP inverses are studied and we prove that in the class of core-EP matrices, DMP, MPD, and Drazin inverses are the same. Moreover, DMP and MPD binary relation orders are introduced and the relationship between these orders and other binary relation orders are considered. |
| title | Properties of core-EP matrices and binary relationships |
| topic | Numerical Analysis 15A09, 15A45 |
| url | https://arxiv.org/abs/2407.02602 |