Core EP, Dual Core EP and Composite Generalized Inverses for a Class of Structured Matrices
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911516003926016 |
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| author | Maciala, Faustino Araújo, C. Mendes Patrício, Pedro |
| author_facet | Maciala, Faustino Araújo, C. Mendes Patrício, Pedro |
| contents | We study generalized inverses for matrices associated with double star digraphs. Explicit block formulas and existence criteria are obtained for core, dual core, core EP, and dual core EP inverses, expressed in terms of explicit algebraic criteria derived from the underlying block structure. Other combined outer pseudoinverses, combining Moore--Penrose and core-type inverses, are derived with existence criteria. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_14142 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Core EP, Dual Core EP and Composite Generalized Inverses for a Class of Structured Matrices Maciala, Faustino Araújo, C. Mendes Patrício, Pedro Rings and Algebras Combinatorics 15A09 (Primary) 05C20, 05C50 (Secondary) We study generalized inverses for matrices associated with double star digraphs. Explicit block formulas and existence criteria are obtained for core, dual core, core EP, and dual core EP inverses, expressed in terms of explicit algebraic criteria derived from the underlying block structure. Other combined outer pseudoinverses, combining Moore--Penrose and core-type inverses, are derived with existence criteria. |
| title | Core EP, Dual Core EP and Composite Generalized Inverses for a Class of Structured Matrices |
| topic | Rings and Algebras Combinatorics 15A09 (Primary) 05C20, 05C50 (Secondary) |
| url | https://arxiv.org/abs/2603.14142 |