Bohemian Matrix Geometry
release_qypw2wbetjb7pjz6bssvu26zki
by
Robert M. Corless, George Labahn, Dan Piponi, Leili Rafiee Sevyeri
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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