Artigo Acesso aberto Produção Nacional

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

2023; Volume: 33; Issue: 2 Linguagem: Inglês

10.14295/vetor.v33i2.16434

ISSN

2358-3452

Autores

Luiz Guerreiro Lopes, Roselaine Neves Machado,

Tópico(s)

Fractional Differential Equations Solutions

Resumo

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.

Referência(s)