Bohemian Matrix Geometry
Symbolic Computation
2022-05-25 v2 Combinatorics
Abstract
A Bohemian matrix family is a set of matrices all of whose entries are drawn from a fixed, usually discrete and hence bounded, subset of a field of characteristic zero. Originally these were integers -- hence the name, from the acronym BOunded HEight Matrix of Integers (BOHEMI) -- but other kinds of entries are also interesting. Some kinds of questions about Bohemian matrices can be answered by numerical computation, but sometimes exact computation is better. In this paper we explore some Bohemian families (symmetric, upper Hessenberg, or Toeplitz) computationally, and answer some open questions posed about the distributions of eigenvalue densities.
Cite
@article{arxiv.2202.07769,
title = {Bohemian Matrix Geometry},
author = {Robert M. Corless and George Labahn and Dan Piponi and Leili Rafiee Sevyeri},
journal= {arXiv preprint arXiv:2202.07769},
year = {2022}
}
Comments
22 pages; 12 figures