TITLE:
Modified Efficient Families of Two and Three-Step Predictor-Corrector Iterative Methods for Solving Nonlinear Equations
AUTHORS:
Sanjeev Kumar, Vinay Kanwar, Sukhjit Singh
KEYWORDS:
Nonlinear Equations, Iterative Methods, Multipoint Iterative Methods, Newton’s Method, Traub-Ostrowski’s Method, Predictor-Corrector Methods, Order of Convergence
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.3,
September
29,
2010
ABSTRACT: In this paper, we present and analyze modified families of predictor-corrector iterative methods for finding simple zeros of univariate nonlinear equations, permitting near the root. The main advantage of our methods is that they perform better and moreover, have the same efficiency indices as that of existing multipoint iterative methods. Furthermore, the convergence analysis of the new methods is discussed and several examples are given to illustrate their efficiency.