Combined matrices of almost strictly sign regular matrices
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911779304505344 |
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| author | Alonso, Pedro Peña, Juan Manuel Serrano, María Luisa |
| author_facet | Alonso, Pedro Peña, Juan Manuel Serrano, María Luisa |
| contents | The combined matrix is a very useful concept for many applications. Almost strictly sign regular (ASSR) matrices form an important structured class of matrices with two possible zero patterns, which are either type-I staircase or type-II staircase. We prove that, under an irreducibility condition, the pattern of zero and nonzero entries of an ASSR matrix is preserved by the corresponding combined matrix. Without the irreducibility condition, it is proved that type-I and type-II staircases are still preserved. Illustrative numerical examples are included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10933 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combined matrices of almost strictly sign regular matrices Alonso, Pedro Peña, Juan Manuel Serrano, María Luisa Combinatorics Rings and Algebras 65F05, 65F15, 65F35 The combined matrix is a very useful concept for many applications. Almost strictly sign regular (ASSR) matrices form an important structured class of matrices with two possible zero patterns, which are either type-I staircase or type-II staircase. We prove that, under an irreducibility condition, the pattern of zero and nonzero entries of an ASSR matrix is preserved by the corresponding combined matrix. Without the irreducibility condition, it is proved that type-I and type-II staircases are still preserved. Illustrative numerical examples are included. |
| title | Combined matrices of almost strictly sign regular matrices |
| topic | Combinatorics Rings and Algebras 65F05, 65F15, 65F35 |
| url | https://arxiv.org/abs/2402.10933 |