Dynamics of iterative families with memory based on weight functions procedure

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:354

Article; Proceedings Paper

Chicharro, Francisco I.¹  Cordero, Alicia¹  Torregrosa, Juan R.¹ 

[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Camino Vera S-N, E-46022 Valencia, Spain

关键词: Nonlinear equations;    Acceleration of convergence;    Methods with memory;    Real dynamics;    Bifurcation diagram;   

DOI  :  10.1016/j.cam.2018.01.019

来源: Elsevier

【 摘 要 】

In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth -order schemes without memory designed by means of weight functions procedure. By studying the real fixed and critical points of the rational function resulting from the application of the family with memory on quadratic polynomials, the best elements of the family, in terms of absence of chaotic behavior, are selected. Finally, a numerical study is performed verifying the dynamical theoretical results. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free