Bohemian Matrix Geometry release_qypw2wbetjb7pjz6bssvu26zki

by Robert M. Corless, George Labahn, Dan Piponi, Leili Rafiee Sevyeri

Released as a article .

2022  

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.
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Date   2022-02-15
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arXiv  2202.07769v1
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