Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

Autor: Argyros Ioannis K., George Santhosh, Erappa Shobha M.
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 57, Iss 1, Pp 53-65 (2019)
Druh dokumentu: article
ISSN: 1841-3307
DOI: 10.2478/awutm-2019-0006
Popis: 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 + 2m 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.
Databáze: Directory of Open Access Journals