Results 131 to 140 of about 471,231 (165)

A New Semi-local Convergence Analysis of the Secant Method

International Journal of Applied and Computational Mathematics, 2017
We provide a new semi-local convergence analysis for the secant method in a Banach space setting. Argyros and other authors have analyzed the method using a Lipschitz condition and a simple center Lipschitz condition. However, the secant method has two starting vectors \(u_0\), \(u_{-1}\), and it makes sense to analyze it using a mixed center-Lipschitz
Ioannis K. Argyros, Livinus U. Uko, Ekaterina Nathanson   +2 more
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On the Semi-local Convergence Analysis of Higher Order Iterative Method in Two Folds

International Journal of Applied and Computational Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, Neha, Jaiswal, J. P.
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Extended Semi-Local Convergence of Newton's Method using the Center Lipschitz Condition and the Restricted Convergence Domain

Applied Mathematics and Computation, 2018
The objective of this study is to extend the usage of Newton's method for Banach space valued operators. We use our new idea of restricted convergence domain in combination with the center Lipschitz hypothesis on the Frechet-derivatives where the center is not necessarily the initial point.
Argyros, IIoannis K, GEORGE, Santhosh
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Semi-local Convergence in Right Abstract Fractional Calculus

2017
We provide a semi-local convergence analysis for a class of iterative methods under generalized conditions in order to solve equations in a Banach space setting. Some applications are suggested including Banach space valued functions of right fractional calculus, where all integrals are of Bochner-type. It follows [5].
George A. Anastassiou, Ioannis K. Argyros   +1 more
openaire   +1 more source

A new semi-local convergence theorem for the inexact Newton methods

Applied Mathematics and Computation, 2008
The semi-local convergence of an inexact Newton method is proved under a weak integral type Lipschitz condition for the derivative.
openaire   +1 more source

Improved semi-local convergence of the Newton-HSS method for solving large systems of equations

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K. Argyros, Santhosh George, Alberto Magreñán   +2 more
openaire   +1 more source

Semi-local convergence of a Newton-like method for solving equations with a singular derivative

Creative Mathematics and Informatics, 2018
We present a semi-local convergence analysis for a Newton-like method to approximate solutions of equations when the derivative is not necessarily non-singular in a Banach space setting. In the special case when the equation is defined on the real line the convergence domain is improved for this method when compared to earlier results.
IOANNIS K. ARGYROS, GEORGE SANTHOSH
openaire   +1 more source

Using majorizing sequences for the semi-local convergence of a high-order and multipoint iterative method along with stability analysis

2021
Summary: This paper deals with the study of relaxed conditions for semi-local convergence for a general iterative method, \(k\)-step Newton's method, using majorizing sequences. Dynamical behavior of the mentioned method is also analyzed via Julia set and basins of attraction.
Lotfi, Taher, Moccari, Mandana
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Semi-local Convergence of Iterative Procedures and Their Applications in k-Multivariate Fractional Calculus

2016
We provide new semi-local convergence results for general iterative methods in order to approximate a solution of a nonlinear operator equation.
George A. Anastassiou, Ioannis K. Argyros   +1 more
openaire   +1 more source

Local and semi-local convergence and dynamic analysis of a time-efficient nonlinear technique

Applied Numerical Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K. Argyros, Krzysztof Gdawiec, Sania Qureshi, Amanullah Soomro, Evren Hincal, Samundra Regmi   +5 more
openaire   +1 more source