Simultaneous extension of generalized BT-inverses and core-EP inverses
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913655506862080 |
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| author | Kara, Abdessalam Thome, Néstor Djordjevi'c, Dragan S. |
| author_facet | Kara, Abdessalam Thome, Néstor Djordjevi'c, Dragan S. |
| contents | In this paper we introduce the generalized inverse of complex square matrix with respect to other matrix having same size. Some of its representations, properties and characterizations are obtained. Also some new representation matrices of W-weighted BT-inverse and W-weighted core-EP inverse are determined as well as characterizations of generalized inverses A A^\odagger, A^{odagger,W}, A^\diamond, A^{\diamond,W}. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_10417 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simultaneous extension of generalized BT-inverses and core-EP inverses Kara, Abdessalam Thome, Néstor Djordjevi'c, Dragan S. Rings and Algebras Functional Analysis 15A09 In this paper we introduce the generalized inverse of complex square matrix with respect to other matrix having same size. Some of its representations, properties and characterizations are obtained. Also some new representation matrices of W-weighted BT-inverse and W-weighted core-EP inverse are determined as well as characterizations of generalized inverses A A^\odagger, A^{odagger,W}, A^\diamond, A^{\diamond,W}. |
| title | Simultaneous extension of generalized BT-inverses and core-EP inverses |
| topic | Rings and Algebras Functional Analysis 15A09 |
| url | https://arxiv.org/abs/2501.10417 |