Characteristic polynomials of some min and max matrices

Autor:	Wei Xie
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Min and Max matrices binomial coefficient characteristic polynomial principal minor generalized Fibonacci number Mathematics QA1-939
Zdroj:	Mathematics Open, Vol 03, Iss (2024)
Druh dokumentu:	article
ISSN:	28110072 2811-0072
DOI:	10.1142/S2811007224500019
Popis:	In this paper, we investigate Min matrices [Formula: see text] and Max matrices [Formula: see text] whose entries are [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] and [Formula: see text]. By utilizing combinatorial identities, we derive the characteristic polynomials of M and U. Additionally, relationship between generalized Fibonacci numbers and the characteristic polynomials of these matrices is established. Finally, some examples are given to illustrate our results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/68f38535217949aea7817e3f9cdb9341 Zobrazit plný text záznamu View record in DOAJ