Submatrices with the best-bounded inverses: the equality criteria for $\mathds{R}^{n \times 2}$
arXiv:2604.140504.9
AI Analysis
Provides theoretical completeness for a known result in numerical linear algebra, but is incremental.
The paper complements a recent proof of the Goreinov-Tyrtyshnikov-Zamarashkin hypothesis for two-column matrices by providing equality criteria for submatrices with best-bounded inverses.
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.