Modified Efficient Families of Two and Three-Step Predictor-Corrector Iterative Methods for Solving Nonlinear Equations

• 作者: Sanjeev Kumar Sukhjit Singh Vinay Kanwar
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Nonlinear Equations ITERATIVE METHODS Multipoint ITERATIVE METHODS Newton’s METHOD Traub-Ostrowski’s METHOD PREDICTOR-CORRECTOR METHODS Order of Convergence
• 年，卷（期）: yysxyw_2010,（3）
• 页码范围: 153-158
• 页数: 6页
• 分类号: O1

摘要

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.