Computation of the zeros of a quaternionic polynomial using matrix methods

Autor:	N. A. Rather, Tanveer Bhat, Ishfaq Dar, Bilal Khan, Arjika Sama
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Companion matrix quaternionic polynomials right (and left) quaternionic eigenvalues 30A10 30C10 30C15 Science
Zdroj:	Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 65-70 (2024)
Druh dokumentu:	article
ISSN:	25765299 2576-5299
DOI:	10.1080/25765299.2023.2301237
Popis:	AbstractIn a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques. In this paper, we use those newly developed matrix methods to locate the left eigenvalues of the quaternion companion matrix of the polynomial, which in turn yield various results concerning the location of the zeros of quaternionic polynomials including extensions of the results of Rubinstein and A. Aziz to the quaternionic setting as well.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/42cd972f465a44159b9d72400d31cf12 Zobrazit plný text záznamu View record in DOAJ