Real dynamics for damped Newton's method applied to cubic polynomials

摘要

In this paper we study the real dynamics of the damped Newton's methods applied to cubic polynomials, but instead of taking a value of the damping factor lambda is an element of (0,1), we consider all values of lambda is an element of R. The method for unusual values of A presents different behaviors such as convergence to n-cycles or even chaos. (C) 2013 Elsevier B.V. All rights reserved.