The W-weighted m-weak group MP inverse and its applications
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916466068029440 |
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| author | Gao, Jiale Zuo, Kezheng Wang, Qing-Wen |
| author_facet | Gao, Jiale Zuo, Kezheng Wang, Qing-Wen |
| contents | We extend the concept of the m-weak group MP inverse of a square matrix to a rectangular matrix, called the W-weighted m-weak group MP inverse, which also unifies the W-weighted weak core inverse and W-weighted DMP inverse. Some properties, characterizations and representations of this new generalized inverse are shown. Additionally, applications of the W-weighted weak group MP inverse are given in solving a constrained optimization problem and a class of consistent matrix equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01481 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The W-weighted m-weak group MP inverse and its applications Gao, Jiale Zuo, Kezheng Wang, Qing-Wen Functional Analysis We extend the concept of the m-weak group MP inverse of a square matrix to a rectangular matrix, called the W-weighted m-weak group MP inverse, which also unifies the W-weighted weak core inverse and W-weighted DMP inverse. Some properties, characterizations and representations of this new generalized inverse are shown. Additionally, applications of the W-weighted weak group MP inverse are given in solving a constrained optimization problem and a class of consistent matrix equations. |
| title | The W-weighted m-weak group MP inverse and its applications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2411.01481 |