Correction to : on the numerical ranges of matrices in max algebra

Thaghizadeh, Davod (author), Zahraei, Mohsen (author), Haj Aboutalebi, Narges (author), Peperko, Aljoša (author), Fallat, Shaun M. (author)

We correct some unfortunate mistakes that appeared in the article D. Thaghizadeh, M. Zahraei, A. Peperko, and N. H. Aboutalebi, On the numerical ranges of matrices in max algebra, Banach J. Math. Anal., 14 (2020), 1773–1792, concerning certain notions of the numerical range in the max algebra setting. Along the way we also include a study of the characteristic max polynomial and correspondingly the max k-spectrum and the k-tropical spectrum. We also pose a related and intriguing open question.

• Language: English
• Keywords: numerical range, tropical algebra, max algebra, k-numerical range, C-numerical range
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 26 str.
• Numbering: Vol. 19, iss. 1, [art. no.] 3
• PID: 20.500.12556/RUL-166302
• UDC: 512.643
• ISSN on article: 1735-8787
• DOI: 10.1007/s43037-024-00391-5
• COBISS.SI-ID: 213997571
• Publication date in RUL: 07.01.2025

Record is a part of a journal

• Title: Banach journal of mathematical analysis : an international electronic journal
• Publisher: Springer, Banach Mathematical Research Group
• ISSN: 1735-8787
• COBISS.SI-ID: 14518617

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian

Abstract

Gre za popravek članka objavljenega v: Banach J. Math. Anal. (2020) 14:1773–1792 https://doi.org/10.1007/s43037-020-00082-x Popravimo nekatere napake, ki so bile objavljene v članku D. Thaghizadeh, M. Zahraei, A. Peperko, and N. H. Aboutalebi, On the numerical ranges of matrices in max algebra, Banach J. Math. Anal., 14 (2020), 1773–1792, o nekaterih verzijah numeričnega zaklada v max algebri. Vključimo tudi študijo max-karakterističnega polinoma in pripadajoče max k-spektre in k-tropske spektre. Postavimo tudi sorodno in zanimivo odprto vprašanje.

• Keywords: numerični zaklad, tropska algebra, max-algebra, k-numerični zaklad, C-numerični zaklad