Results 11 to 20 of about 40,752 (258)
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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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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International Journal of Mathematics and Mathematical Sciences, 1979 Suppose ∑n=0∞anzn has radius of convergence R and σN(z)=|∑n=N∞anzn|. Suppose |z1|
J. D. McCall, G. H. Fricke, W. A. Beyer
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Determining radius of convergence of Newton’s method using radius of curvature
MATEMATIKA, 2017 In this paper, we propose a method on how to manage the convergence of Newton’s method if its iteration process encounters a local extremum. This idea establishes the osculating circle at a local extremum. It then uses the radius of the osculating circle also known as the radius of the curvature as an additional number of the local extremum.
Pandiya, Ridwan, Mohd, Ismail
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Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate the local convergence of the Gauss-Newton-Kurchatov method for solving nonlinear least squares problems. This method is a combination of Gauss-Newton and Kurchatov methods and it is used for problems with the decomposition of the operator.
S.M. Shakhno, H.P. Yarmola
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Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions
Mathematics, 2019 We provide a ball comparison between some 4-order methods to solve nonlinear equations involving Banach space valued operators. We only use hypotheses on the first derivative, as compared to the earlier works where they considered conditions reaching up ...
Ioannis K. Argyros, Ramandeep Behl
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space.
Argyros Ioannis K., George Santhosh
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The Convergence Ball and Error Analysis of the Relaxed Secant Method
Advances in Mathematical Physics, 2017 A relaxed secant method is proposed. Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order.
Rongfei Lin +3 more
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Local convergence radius for the Mann-type iteration
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 A procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method.
Măruşter Ştefan
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Convergence radius of perturbative Lindblad-driven nonequilibrium steady states
Physical Review E, 2017 We address the problem of analyzing the radius of convergence of perturbative expansion of non-equilibrium steady states of Lindblad driven spin chains. A simple formal approach is developed for systematically computing the perturbative expansion of small driven systems.
Lemos, Humberto C. F., Prosen, Tomaž
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