Results 51 to 60 of about 80 (71)

Local convergence of deformed Euler–Halley-type methods in Banach space under weak conditions

Asian-European Journal of Mathematics, 2017
We present a unified local convergence analysis for deformed Euler–Halley-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Euler, Halley and other high order methods. The convergence ball and error estimates are given for these methods under hypotheses up to the first Fréchet ...
Argyros, Ioannis K., George, Santhosh
openaire   +3 more sources

Improved local convergence for Euler–Halley-like methods with a parameter

Rendiconti del Circolo Matematico di Palermo (1952 -), 2015
The article deals with Euler-Halley-like iterative methods for solving approximately the nonlinear operator equation \(F(x) = 0\) with an operator \(f:\;X \to Y\), \(X\) and \(Y\) are Banach spaces. These methods are described by formulas \[ x_{n+1,\alpha} = HE_{F,\alpha}(x_{n,\alpha}), \quad n = 0,1,2,\dots, \] where \[ \begin{aligned} & HE_{F,\alpha}(
Argyros, Ioannis K., George, Santhosh
openaire   +1 more source

Extending the Radius of Convergence for a Class of Euler-Halley Type Methods

Revue d'analyse numérique et de théorie de l'approximation, 2020
Santhosh George
exaly  

Convergence of the Family of Euler-Halley Type Methods on Riemannian Manifolds Under the γ-Condition

Taiwanese Journal of Mathematics, 2009
Chong Li, Jin-Hua Wang
exaly  

Improved Local Convergence for Euler–Halley-Like Methods With a Parameter

Rendiconti Del Circolo Matematico Di Palermo, 2016
Santhosh George, Ioannis Konstantinos Argyros   +1 more
exaly  

On a Family of Halley-Like Methods to Find Simple Roots of Nonlinear Equations

Applied Mathematics and Computation, 2013
Beny Neta
exaly  

Convergence of the Family of the Deformed Euler–Halley Iterations Under the Hölder Condition of the Second Derivative

Journal of Computational and Applied Mathematics, 2006
Chong Li
exaly  

On the R-Order of the Halley Method

Journal of Mathematical Analysis and Applications, 2005
J A Ezquerro, M Á Hernández
exaly  

The Improvements of Chebyshev–Halley Methods With Fifth-Order Convergence

Applied Mathematics and Computation, 2007
Jisheng Kou, Yitian Li
exaly