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CORRIGENDUM TO "DETERMINANTS OF NORMALIZED BOHEMIAN UPPER HESSENBERG MATRICES" [ELECTRON. J. OF LINEAR ALGEBRA 36 (2020) 352-366]
Örebro University, School of Science and Technology.ORCID iD: 0000-0002-6015-391x
School of Mathematics and Statistics, Longdong University, Qingyang, Gansu, People’s Republic of China.
Department of Mathematics, University of Manchester, United Kingdom.
2021 (English)In: The Electronic Journal of Linear Algebra, ISSN 1537-9582, E-ISSN 1081-3810, Vol. 37, p. 160-162Article in journal (Refereed) Published
Abstract [en]

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 upper Hessenberg matrices with ones on the subdiagonal and elements in the upper triangular part drawn from the set {-1, 1} is {2k vertical bar k is an element of <-2(n-2), 2(n-2)>}, instead of {2k vertical bar k is an element of <-n + 1, n - 1 >} as previously stated. This does not affect the main results of the article being corrected and shows that Conjecture 20 in the Characteristic Polynomial Database is true.

Place, publisher, year, edition, pages
International Linear Algebra Society , 2021. Vol. 37, p. 160-162
Keywords [en]
Bohemian matrix, Integer matrix, Normalized upper Hessenberg matrix, Determinant
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:oru:diva-90886DOI: 10.13001/ela.2021.5849ISI: 000628679400001Scopus ID: 2-s2.0-85102025869OAI: oai:DiVA.org:oru-90886DiVA, id: diva2:1542159
Funder
Wenner-Gren Foundations, UPD2019-0067
Note

Funding Agencies:

Royal Society of London European Commission

Istituto Nazionale di Alta Matematica INdAM-GNCS Project 2020 

Available from: 2021-04-06 Created: 2021-04-06 Last updated: 2021-04-06Bibliographically approved

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