New Ninth Order J-Halley Method for Solving Nonlinear Equations

• 作者: Arif Rafiq Farooq Ahmad Sajjad Hussain Sifat Hussain
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: HALLEY METHOD Jarratt METHOD ITERATIVE Methods CONVERGENCE Order Numerical EXAMPLES
• 年，卷（期）: yysxyw_2013,（12）
• 页码范围: 1709-1713
• 页数: 5页
• 分类号: O1

摘要

In the paper [1], authors have suggested and analyzed a predictor-corrector Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which had a quantic convergence. We have compared this modified Halley method with some other iterative methods of ninth order, which shows that this new proposed method is a robust one. Some examples are given to illustrate the efficiency and the performance of this new method.