Interval matrices: realization of ranks by rational matrices
| Autor: | Rubei, Elena |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Linear Algebra and its Applications 608, 299-321 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.laa.2020.09.01 |
| Popis: | Let $\alpha $ be a $p \times q$ interval matrix with $p \geq q$ and with the endpoints of all its entries in the set of the rational numbers. We prove that, if $\alpha $ contains a rank-$r$ real matrix with $r \in \{2, q-2,q-1,q\}$, then it contains a rank-$r$ rational matrix. |
| Databáze: | arXiv |
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