Frozen divided difference scheme for solving systems of nonlinear equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Grau-Sanchez, Miquel¹  Grau, Angela¹  Noguera, Miquel¹ 

[1] Tech Univ Catalonia, Dept Appl Math 2, Barcelona 08034, Spain

关键词: Divided difference;    Order of convergence;    Nonlinear equations;    Iterative methods;    Efficiency;   

DOI  :  10.1016/j.cam.2010.09.019

来源: Elsevier

【 摘 要 】

The development of an inverse first-order divided difference operator for functions of several variables, as well as a direct computation of the local order of convergence of an iterative method is presented. A generalized algorithm of the secant method for solving a system of nonlinear equations is studied and the maximum computational efficiency is computed. Furthermore, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the methods is well deduced. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free