Submatrices with the best-bounded inverses: the equality criterion for $\mathbb{R}^{n \times 2}$
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918477747453952 |
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| author | Nesterenko, Yuri |
| author_facet | Nesterenko, Yuri |
| contents | The long-standing hypothesis formulated by Goreinov, Tyrtyshnikov and Zamarashkin \cite{GTZ1997} has recently been solved positively by Sengupta and Pautov \cite{SP2026} in the case of two-column matrices. In this paper, we complement their elegant proof with the equality criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14050 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Submatrices with the best-bounded inverses: the equality criterion for $\mathbb{R}^{n \times 2}$ Nesterenko, Yuri Numerical Analysis The long-standing hypothesis formulated by Goreinov, Tyrtyshnikov and Zamarashkin \cite{GTZ1997} has recently been solved positively by Sengupta and Pautov \cite{SP2026} in the case of two-column matrices. In this paper, we complement their elegant proof with the equality criterion. |
| title | Submatrices with the best-bounded inverses: the equality criterion for $\mathbb{R}^{n \times 2}$ |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.14050 |