Some modified Newton-type methods with order of convergence varied from two to siz under weak conditions

摘要：

We present some modified Newton-type methods for solving nonlinear equations. These algorithms are free from second derivatives and permit f(x) = 0 in some iteration points. The convergent analysis demonstrates that the order of convergence and the efficiency index of the present methods are better than that of the classical Newtons method. Some numerical examples are given to illustrate their efficiency and performance.

作者: Liang Fang Guoping He Yunhong Hu Li Sun

作者单位: Taishan University College of Mathematics and System Science, Taian, 271021, China Shanghai Jiao To Shandong University of Science and Technology, College of Information Science and Engineering, Qingd Yuncheng University Department of Applied Mathematics, Yuncheng, 044000, China Shandong University o Shanghai Jiao Tong University Department of Mathematics, Shanghai, 200240, 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: 1687-1690

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）