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Research PaperResearchia:202604.17023

Submatrices with the best-bounded inverses: the equality criteria for $\mathds{R}^{n \times 2}$

Yuri Nesterenko

Abstract

The long-standing hypothesis formulated by Goreinov, Tyrtyshnikov and Zamarashkin \cite{GTZ1997} has been recently solved by Sengupta and Pautov \cite{SP2026} in the case of two-column matrices. In this paper, we complement their elegant proof with the equality criteria. --- Source: arXiv:2604.14050v1 - http://arxiv.org/abs/2604.14050v1 PDF: https://arxiv.org/pdf/2604.14050v1 Original Link: http://arxiv.org/abs/2604.14050v1

Submitted: April 17, 2026Subjects: Mathematics; Mathematics

Description / Details

The long-standing hypothesis formulated by Goreinov, Tyrtyshnikov and Zamarashkin \cite{GTZ1997} has been recently solved by Sengupta and Pautov \cite{SP2026} in the case of two-column matrices. In this paper, we complement their elegant proof with the equality criteria.


Source: arXiv:2604.14050v1 - http://arxiv.org/abs/2604.14050v1 PDF: https://arxiv.org/pdf/2604.14050v1 Original Link: http://arxiv.org/abs/2604.14050v1

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Date:
Apr 17, 2026
Topic:
Mathematics
Area:
Mathematics
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