Derivative-free optimal multiple-root finding family of iterative methods
Abstract
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.
Fields of Study & Subjects
Iterative Methods for Nonlinear Equations
Mathematical functions and polynomials
Polynomial and algebraic computation
Publication details
- Journal / source
- Computational and Applied Mathematics
- Volume
- 45
- Issue
- 7
- Publication date
- 13 March 2026
- Language
- EN