m-weak group MP inverse
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866916464249798656 |
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| author | Jiang, Wanlin Gao, Jiale Zhang, Xiangyu Zuo, Shengxi |
| author_facet | Jiang, Wanlin Gao, Jiale Zhang, Xiangyu Zuo, Shengxi |
| contents | In this paper, we introduce a new matrix decomposition called the m-Core-nilpotent decomposition which is an extension of the Core-nilpotent decomposition. By this new decomposition, we propose a new generalized inverse named the m-weak group MP inverse which unifies the DMP-inverse and weak core inverse. Some characterizations, properties and representations of the m-weak group MP inverse are presented. In addition, the proposed generalized inverse is applicable to solving a restricted matrix equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00022 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | m-weak group MP inverse Jiang, Wanlin Gao, Jiale Zhang, Xiangyu Zuo, Shengxi Rings and Algebras 15A09 In this paper, we introduce a new matrix decomposition called the m-Core-nilpotent decomposition which is an extension of the Core-nilpotent decomposition. By this new decomposition, we propose a new generalized inverse named the m-weak group MP inverse which unifies the DMP-inverse and weak core inverse. Some characterizations, properties and representations of the m-weak group MP inverse are presented. In addition, the proposed generalized inverse is applicable to solving a restricted matrix equation. |
| title | m-weak group MP inverse |
| topic | Rings and Algebras 15A09 |
| url | https://arxiv.org/abs/2411.00022 |