Open AccessIncreasing the order of convergence of multistep methods for solving systems of equations under weak conditions
Author(s) -
Ioannis K. Argyros,
Santhosh George,
Shobha M. Erappa
Publication year - 2019
Publication title -
analele universităţii din timişoara. seria matematică-informatică/analele universităţii de vest din timişoara. seria matematică-informatică
Language(s) - English
Resource type - Journals
eISSN - 1841-3307
pISSN - 1841-3293
DOI - 10.2478/awutm-2019-0006
Subject(s) - convergence (economics) , order (exchange) , mathematics , computer science , mathematical optimization , economics , finance , economic growth
In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2 m under weaker assumptions. Using the idea of restricted convergence domains we extend the applicability of the method considered by Xiao and Yin (2016). Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.