New Family of Combined Iterative Methods for Solving Nonlinear Equations

摘要：

In this paper, a new family of combined iterative methods for the solution of nonlinear equations is presented. The new family of methods is based on Newtons method and the family of sixth-order iterative methods developed by Chun. Per iteration the new methods require three evaluations of the function and two evaluations of its first derivative. Numerical tests show that it takes less number of iterations than Newtons method and some methods with third-order convergence. It is found that it only adds evaluation of the function at another point but its convergence order will be increased (p + 1)-order above the original level.

作者: Shuping Chen Fabao Gao Wei Zhang Minghui Yao

作者单位: College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China College College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

会议类型: 国际会议

会议名称: The Second International Joint Conference on Computational Science and Optimization(CSO 2009)(2009 国际计算科学与优化会议)

会议地点: 三亚

会议语种:英文

页码: 547-550

在线出版日期: 2009-04-24（万方平台首次上网日期，不代表论文的发表时间）