Results on the generalized numerical ranges in max algebra
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_ | 1866913611429969920 |
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| author | Aboutalebi, Narges Haj Fallat, Shaun Peperko, Aljosa Taghizadeh, Davod Zahraei, Mohsen |
| author_facet | Aboutalebi, Narges Haj Fallat, Shaun Peperko, Aljosa Taghizadeh, Davod Zahraei, Mohsen |
| contents | Let $n$ and $k$ be two positive integers with $k\leq n$ and $C$ an $n \times n$ matrix with nonnegative entries. In this paper, the rank-$k$ numerical range in the max algebra setting is introduced and studied. The related notions of the max joint $k$-numerical range and the max joint $C$-numerical range of an entry-wise nonnegative matrix and an $m$-tuple of nonnegative matrices are also introduced. Some interesting algebraic properties of these concepts are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Results on the generalized numerical ranges in max algebra Aboutalebi, Narges Haj Fallat, Shaun Peperko, Aljosa Taghizadeh, Davod Zahraei, Mohsen General Mathematics Primary 39B82, Secondary 44B20, 46C05 Let $n$ and $k$ be two positive integers with $k\leq n$ and $C$ an $n \times n$ matrix with nonnegative entries. In this paper, the rank-$k$ numerical range in the max algebra setting is introduced and studied. The related notions of the max joint $k$-numerical range and the max joint $C$-numerical range of an entry-wise nonnegative matrix and an $m$-tuple of nonnegative matrices are also introduced. Some interesting algebraic properties of these concepts are investigated. |
| title | Results on the generalized numerical ranges in max algebra |
| topic | General Mathematics Primary 39B82, Secondary 44B20, 46C05 |
| url | https://arxiv.org/abs/2412.10375 |