Results 11 to 20 of about 6,990,633 (245)
Local Convergence of Exquerro-Hernandez Method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
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On the local convergence of the Modified Newton method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 The aim of this paper is to investigate the local convergence of the Modified Newton method, i.e. the classical Newton method in which the first derivative is re-evaluated periodically after m steps. The convergence order is shown to be m + 1.
Măruşter Ştefan
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An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations [PDF]
The Scientific World Journal, 2014 We study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained ...
Fangqin Zhou
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Local Comparison between Two Ninth Convergence Order Algorithms for Equations
Algorithms, 2020 A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence.
Samundra Regmi +2 more
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Local convergence of Newton's method using Kantorovich convex majorants [PDF]
Journal of Numerical Analysis and Approximation Theory, 2010 We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the
Ioannis K. Argyros
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +3 more
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017 This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is ...
Ioannis K. Argyros, Santhosh George
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Axioms, 2021 We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros +4 more
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A note on "Convergence radius of Osada s method under Hölder continuous condition" [PDF]
, 2018 [EN] In this paper we revise the proofs of the results obtained in "Convergence radius of Osada's method under Holder continuous condition"[4], because the remainder of the Taylor's expansion used for the obtainment of the local convergence radius is not
Fabricio Cevallos +7 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 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.
Argyros Ioannis K. +2 more
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