Review of some iterative root-finding methods from a dynamical point of view

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

A variant of Newton's method with accelerated third-order convergence

Sunethra Weerakoon, T.G.I. Fernando · Applied Mathematics Letters · 2000 · 883 citations

Natural Sciences, Mathematics, Differential Equations +9

Complex analytic dynamics on the Riemann sphere

Paul Blanchard · Bulletin of the American Mathematical Society · 1984 · 575 citations · Full text

Natural Sciences, Mathematics, Physics +11

Dynamics in one complex variable: introductory lectures

John Milnor · arXiv (Cornell University) · 1990 · 494 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +11

A Family of Fourth Order Methods for Nonlinear Equations

Richard F. King · SIAM Journal on Numerical Analysis · 1973 · 377 citations

Natural Sciences, Mathematics, Computational Mechanics +11