Work

Derivative-free optimal multiple-root finding family of iterative methods

Year: 2026

Type: article

Abstract: A new family of iterative methods for finding multiple roots of nonlinear problems is proposed. The family is derivative-free and optimal in the sense of Kung–Traub’s conjecture. The two-step family includes a weight function. The stability analysis uses two different weight functions: a polynomial and a rational function. Furthermore, a numerical benchmark is carried out on these two weight functions, showing the competitiveness concerning similar methods in the literature.

Source: Computational and Applied Mathematics

DOI: 10.1007/s40314-026-03702-8

Authors: Julissa H. Jerezano, Francisco I. Chicharro, Neus Garrido-Saez

Institutions: National Autonomous University of Honduras, Universitat Politècnica de València

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funder: Universitat Politècnica de València