Anymatrix: an extensible MATLAB matrix collection

NJ Higham, M Mikaitis - Numerical Algorithms, 2022 - Springer
Anymatrix is a MATLAB toolbox that provides an extensible collection of matrices with the
ability to search the collection by matrix properties. Each matrix is implemented as a …

Optimizing and factorizing the Wilson matrix

NJ Higham, MC Lettington - The American Mathematical Monthly, 2022 - Taylor & Francis
The Wilson matrix, W, is a 4× 4 unimodular symmetric positive definite matrix of integers that
has been used as a test matrix since the 1940's, owing to its mild ill-conditioning. We ask …

A study on the determinants of some Hessenberg Toeplitz Bohemians

J Feng, H Fan - 2020 - europepmc.org
In this paper, we deduce explicit formulas to evaluate the determinants of nonsymmetrical
structure Toeplitz Bohemians by two determinants of specific Hessenberg Toeplitz matrices …

Corrigendum to" Determinants of Normalized Bohemian Upper Hessenberg Matrices"

M Fasi, J Feng, GMN Porzio - The Electronic Journal of Linear …, 2021 - journals.uwyo.edu
An amended version of Proposition 3.6 of [Fasi and Negri Porzio, Electron. J. Linear Algebra
36: 352--366, 2020] is presented. The result shows that the set of possible determinants of …

Bohemian matrices: past, present and future

J Sendra - Maple Conference, 2020 - Springer
A matrix family is called Bohemian if its entries come from a fixed finite discrete (and hence
bounded) set, usually integers, called the “population” P. We look at Bohemian matrices …

Upper Hessenberg and Toeplitz Bohemian matrix sequences: a note on their asymptotical eigenvalues and singular values

M Bogoya, S Serra-Capizzano, K Trotti - Electronic Transactions on …, 2022 - diva-portal.org
In previous works, Bohemian matrices have attracted the attention of several researchers for
their rich combinatorial structure, and they have been studied intensively from several points …

Disproving a conjecture of Thornton on Bohemian matrices

Z Du, CM Da Fonseca, Y Xu, J Ye - Open Mathematics, 2021 - degruyter.com
Disproving a conjecture of Thornton on Bohemian matrices Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

Maximum absolute determinants of upper Hessenberg Bohemian matrices

JP Keating, AA Keleş - arxiv preprint arxiv:2003.00454, 2020 - arxiv.org
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 …

Bohemian matrix geometry

R Corless, G Labahn, D Piponi… - Proceedings of the 2022 …, 2022 - dl.acm.org
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 …

[HTML][HTML] Inner Bohemian inverses

EYS Chan, RM Corless, L González-Vega… - Applied Mathematics …, 2022 - Elsevier
In this paper, for certain type of structured {0, 1,− 1}–matrices, we give a complete
description of the inner Bohemian inverses over any population containing the set {0, 1,− 1} …