On the complexity of extending the convergence region for Traub’s method

Iterative Methods for the Solution of Equations.

David M. Young, J. F. Traub · American Mathematical Monthly · 1967 · 2.2K citations

Natural Sciences, Mathematics, Algorithms +15

An adaptive continuation process for solving systems of nonlinear equations

Werner C. Rheinboldt · Banach Center Publications · 1978 · 280 citations · Full text

Natural Sciences, Mathematics, Algorithms +11

Weaker conditions for the convergence of Newton’s method

Ioannis K. Argyros, Saïd Hilout · Journal of Complexity · 2012 · 225 citations

Computing, Computer Science, Algorithms +11

Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

Á. Alberto Magreñán, Alicia Cordero, J.M. Gutiérrez et al. · Mathematics and Computers in Simulation · 2014 · 35 citations · Full text

Computing, Computer Science, Computational Mechanics +11

Low-complexity root-finding iteration functions with no derivatives of any order of convergence

Alicia Cordero, Juan R. Torregrosa · Journal of Computational and Applied Mathematics · 2014 · 35 citations · Full text

Computing, Computer Science, Algorithms +9