Zobrazeno 1 - 10
of 1 194
pro vyhledávání: '"Argyros Ioannis K."'
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 8, Iss 1, Pp 92-101 (2022)
The applicability of an efficient sixth convergence order scheme is extended for solving Banach space valued equations. In previous works, the seventh derivative has been used not appearing on the scheme. But we use only the first derivative that app
Externí odkaz:
https://doaj.org/article/dcc4e401317445a19123b191dec33e73
Autor:
Argyros Ioannis K., George Santhosh
Publikováno v:
Annales Mathematicae Silesianae, Vol 33, Iss 1, Pp 21-40 (2019)
We present a local convergence analysis of the super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting. The convergence analysis in earlier studies was based on hypotheses reaching up to the
Externí odkaz:
https://doaj.org/article/ff71e582be7e46d8a654db4506434c9f
Autor:
Argyros Ioannis K., George Santhosh
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 57, Iss 1, Pp 43-52 (2019)
The γ − theory for solving variational inequality problems using Newton’s method is extended using restricted convergence domains and the center γ − criterion.
Externí odkaz:
https://doaj.org/article/a005e4d56d6b49fd8f8cb9e475b0f884
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 57, Iss 1, Pp 53-65 (2019)
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
Externí odkaz:
https://doaj.org/article/ba048df90d03445f9ee8ca2f4b13f159
Autor:
Argyros Ioannis K., George Santhosh
Publikováno v:
Nonlinear Engineering, Vol 8, Iss 1, Pp 74-79 (2019)
The aim of this study is to extend the applicability of an eighth convergence order method from the k−dimensional Euclidean space to a Banach space setting. We use hypotheses only on the first derivative to show the local convergence of the method.
Externí odkaz:
https://doaj.org/article/ac8bc00d297b42d9bf1f9fdedf03e954
Local Convergence Analysis of an Efficient Fourth Order Weighted-Newton Method under Weak Conditions
Autor:
Argyros Ioannis K., George Santhosh
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 56, Iss 1, Pp 23-34 (2018)
Local convergence analysis of a fourth order method considered by Sharma et. al in [19] for solving systems of nonlinear equations. Using conditions on derivatives upto the order five, they proved that the method is of order four. In this study using
Externí odkaz:
https://doaj.org/article/50ba7bf8cdf34753ad6020ea2585078b
Autor:
Argyros Ioannis K., Parida P.K.
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 56, Iss 1, Pp 86-98 (2018)
In this paper we have provided sufficient conditions to study semilocal and local convergence of the Stirling’s method. The method is used to find fixed points of nonlinear operator equation. We assume Lipschtiz continuity type conditions on the fi
Externí odkaz:
https://doaj.org/article/b013218de8d445f3b987e52f7bad5615
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 55, Iss 2, Pp 17-31 (2017)
The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space va
Externí odkaz:
https://doaj.org/article/6cd6fbebe0644971838bf812c292054f