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arXiv · 2003.00454

Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices

Jonathan P. Keating·Ahmet Abdullah Keleş
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Abstract

A matrix is called Bohemian if its entries are sampled from a finite set of integers. We determine the maximum absolute determinant of upper Hessenberg Bohemian Matrices for which the subdiagonal entries are fixed to be $1$ and upper triangular entries are sampled from $\{0,1,\cdots,n\}$, extending previous results for $n=1$ and $n=2$ and proving a recent conjecture of Fasi & Negri Porzio [8]. Furthermore, we generalize the problem to non-integer-valued entries.

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Jonathan P. Keating, Ahmet Abdullah Keleş. 2020-03-01. Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices. https://arxiv.org/abs/2003.00454

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