A fourth-order derivative-free algorithm for nonlinear equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Peng, Yehui¹  Feng, Heying²  Li, Qiyong³  Zhang, Xiaoqing² 

[1] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Energy & Power Engn, Wuhan 430074, Hubei, Peoples R China

[3] Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R China

关键词: Nonlinear equation;    Derivative-free algorithm;    Root finding;    Error analysis;   

DOI  :  10.1016/j.cam.2010.11.007

来源: Elsevier

【 摘 要 】

A two-step derivative-free iterative algorithm is presented for solving nonlinear equations. Error analysis shows that the algorithm is fourth-order with efficiency index equal to 1.5874. A lot of numerical results show that the algorithm is effective and is preferable to some existing derivative-free methods in terms of computation cost. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free