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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.09699 |
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| _version_ | 1866914679780016128 |
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| author | Maharanaa, G. Sahooa, J. K. Thome, Nestor |
| author_facet | Maharanaa, G. Sahooa, J. K. Thome, Nestor |
| contents | This paper introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and representations of these inverses. The explicit expressions of these inverses have been established via core-nilpotent decomposition. Further, we introduce a binary relation for GD1 inverse and 1GD inverse, along with a few derived properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | G-Drazin inverse combined with inner inverse Maharanaa, G. Sahooa, J. K. Thome, Nestor Numerical Analysis This paper introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and representations of these inverses. The explicit expressions of these inverses have been established via core-nilpotent decomposition. Further, we introduce a binary relation for GD1 inverse and 1GD inverse, along with a few derived properties. |
| title | G-Drazin inverse combined with inner inverse |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2402.09699 |