Simultaneous triangularization over max-algebras
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918458081411072 |
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| author | M, Askar Ali Jayaraman, Sachindranath Mukherjee, Himadri |
| author_facet | M, Askar Ali Jayaraman, Sachindranath Mukherjee, Himadri |
| contents | The purpose of this article is to investigate triangularization and simultaneous triangularization of matrices over max algebras using graph theoretic methods. We establish a connection between commutators and commutants with simultaneous triangularization over max algebras. We also define the notion of characteristic polynomial of a collection in terms of the tropical determinant and determine when it can be written as a product of linear terms. Algorithms for all of the above are also brought out. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simultaneous triangularization over max-algebras M, Askar Ali Jayaraman, Sachindranath Mukherjee, Himadri Rings and Algebras 15A80, 15A21, 15A15, 15A99 The purpose of this article is to investigate triangularization and simultaneous triangularization of matrices over max algebras using graph theoretic methods. We establish a connection between commutators and commutants with simultaneous triangularization over max algebras. We also define the notion of characteristic polynomial of a collection in terms of the tropical determinant and determine when it can be written as a product of linear terms. Algorithms for all of the above are also brought out. |
| title | Simultaneous triangularization over max-algebras |
| topic | Rings and Algebras 15A80, 15A21, 15A15, 15A99 |
| url | https://arxiv.org/abs/2510.07855 |