文献类型：会议论文

英文题名：A one-step Steffensen-type method with super-cubic convergence for solving nonlinear equations

作者：Liu, Zhongli[1];Zheng, Quan[2]

第一作者：刘忠礼

通讯作者：Liu, ZL[1]

机构：[1]Beijing Union Univ, Coll Biochem Engn, Beijing, Peoples R China;[2]North China Univ Technol, Coll Sci, Beijing, Peoples R China

第一机构：北京联合大学生物化学工程学院

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Biochem Engn, Beijing, Peoples R China.|[1141726]北京联合大学生物化学工程学院;[11417]北京联合大学;

会议论文集：14th Annual International Conference on Computational Science

会议日期：JUN 10-12, 2014

会议地点：Cairns, AUSTRALIA

语种：英文

外文关键词：Nonlinear equation; Newton's method; Steffensen's method; Derivative free; Self-accelerating

摘要：In this paper, a one-step Steffensen-type method of order 3.383 is designed and proved for solving nonlinear equations. This super-cubic convergence is obtained by self-accelerating second-order Steffensen's method twice with memory, but without any new function evaluations. The proposed method is very efficient and convenient, since it is still a derivative-free two-point method. Numerical examples confirm the theoretical results and high computational efficiency.