An Efficient Derivative-Free Method for the Solution of Systems of Equations. (1st July 2021)

• Record Type: Journal Article
• Authors: Chun, Changbum; Neta, Beny
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 7(2021)
• Page Start: 834
• Page End: 848
• Publication Date: 2021-07-01
• Subjects: Derivative free methods -- divided differences -- iterative method -- Steffensen's method -- systems of nonlinear equations; 65H10 -- 41A58 -- 49M15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1931313
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We have modified our previously developed fourth order method to approximate solution of systems of equations including non-differentiable ones. The most recent article by Kumar et al. (Numer. Algor. 86:1051–1070, 2021) compared fourth order and seventh order methods to show the efficiency of their fourth order. We have shown that our method compares favorably with methods in the literature.