A New Ehrlich-Type Sixth-Order Simultaneous Method for Polynomial Complex Zeros

Autor:	Luiz Guerreiro Lopes, Roselaine Neves Machado
Jazyk:	English<br />Portuguese
Rok vydání:	2023
Předmět:	Polynomial zeros Simultaneous iterative methods Ehrlich method Li's fourth-order method Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Zdroj:	Vetor, Vol 33, Iss 2 (2023)
Druh dokumentu:	article
ISSN:	0102-7352 2358-3452
DOI:	10.14295/vetor.v33i2.16434
Popis:	This paper presents a new iterative method for the simultaneous determination of simple polynomial zeros. The proposed method is obtained from the combination of the third-order Ehrlich iteration with an iterative correction derived from Li's fourth-order method for solving nonlinear equations. The combined method developed has order of convergence six. Some examples are presented to illustrate the convergence and efficiency of the proposed Ehrlich-type method with Li correction for the simultaneous approximation of polynomial zeros.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cbea06cce704436db381df26ef82be8b Zobrazit plný text záznamu View record in DOAJ