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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.01471 |
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| _version_ | 1866913184407879680 |
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| author | Clark, Benjamin J. Paparella, Pietro |
| author_facet | Clark, Benjamin J. Paparella, Pietro |
| contents | A recently-established necessary condition for polynomials that preserve the class of entrywise nonnegative matrices of a fixed order is shown to be necessary and sufficient for the class of nonnegative monomial matrices. Along the way, we provide a formula for computing an arbitrary power of a monomial matrix and a formula for computing the polynomial of a nonnegative monomial matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomials that preserve nonnegative monomial matrices Clark, Benjamin J. Paparella, Pietro Rings and Algebras A recently-established necessary condition for polynomials that preserve the class of entrywise nonnegative matrices of a fixed order is shown to be necessary and sufficient for the class of nonnegative monomial matrices. Along the way, we provide a formula for computing an arbitrary power of a monomial matrix and a formula for computing the polynomial of a nonnegative monomial matrix. |
| title | Polynomials that preserve nonnegative monomial matrices |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2401.01471 |