On generalized multipoint root-solvers with memory

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Dzunic, Jovana¹  Petkovic, Miodrag S.¹ 

[1] Univ Nis, Fac Elect Engn, Dept Math, Nish 18000, Serbia

关键词: Nonlinear equations;    Multipoint iterative methods;    Iterative methods with memory;    Acceleration of convergence;    Computational efficiency;   

DOI  :  10.1016/j.cam.2012.01.035

来源: Elsevier

【 摘 要 】

The improved versions of the Kung-Traub family and the Zheng-Li-Huang family of n-point derivative free methods for solving nonlinear equations are proposed. The convergence speed of the modified families is considerably accelerated by employing a self-correcting parameter. This parameter is calculated in each iteration using information from the current and previous iteration so that the proposed families can be regarded as the families with memory.The increase of convergence order is attained without any additional function evaluations meaning that these families with memory possess high computational efficiency. Numerical examples are included to confirm theoretical results and demonstrate convergence behaviour of the proposed methods. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free