Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices
Symbolic Computation
2020-05-12 v2 Numerical Analysis
Combinatorics
Numerical Analysis
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 and upper triangular entries are sampled from , extending previous results for and and proving a recent conjecture of Fasi & Negri Porzio [8]. Furthermore, we generalize the problem to non-integer-valued entries.
Cite
@article{arxiv.2003.00454,
title = {Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices},
author = {Jonathan P. Keating and Ahmet Abdullah Keleş},
journal= {arXiv preprint arXiv:2003.00454},
year = {2020}
}