Disproving a conjecture of Thornton on Bohemian matrices-Reference-Cited by-同舟云学术

Disproving a conjecture of Thornton on Bohemian matrices

Published:2021-01-01 Issue:1 Volume:19 Page:505-514
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Du Zhibin¹,da Fonseca Carlos M.²³,Xu Yingqiu¹,Ye Jiahao¹

Affiliation:

1. School of Software, South China Normal University , Foshan , Guangdong 528225 , China

2. Kuwait College of Science and Technology, Doha District, Block 4 , P.O. Box 27235 , Safat 13133 , Kuwait

3. Chair of Computational Mathematics, University of Deusto , 48007 Bilbao , Spain

Abstract

Abstract In this paper, we disprove a remaining conjecture about Bohemian matrices, in which the numbers of distinct determinants of a normalized Bohemian upper-Hessenberg matrix were conjectured.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0045/pdf

Reference18 articles.

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2. O. Taussky , Matrices of rational integers, Bull. Am. Math. Soc. 66 (1960), 327–345.

3. E. Y. S. Chan , R. M. Corless , L. Gonzalez-Vega , J. R. Sendra , J. Sendra , and S. E. Thornton , Upper Hessenberg and Toeplitz Bohemians, Linear Algebra Appl. 601 (2020), 72–100, https://doi.org/10.1016/j.laa.2020.03.037.

4. R. M. Corless and S. E. Thornton , The Bohemian eigenvalue project, ACM Commun. Comput. Algebra 50 (2016), no. 4, 158–160.

5. R. M. Corless and S. E. Thornton , Visualizing eigenvalues of random matrices, ACM Commun. Comput. Algebra 50 (2016), 35–39.

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