Results 141 to 150 of about 241,421 (169)
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Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization
SIAM Journal on Optimization, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aujol, J.-F. +2 more
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Ball Convergence of Multipoint Methods for Non-linear Systems
2021We study Multipoint methods using only the first derivative. Earlier studies use higher than three order derivatives not on the methods. Moreover Lipschitz constants are used to find error estimates not presented in earlier papers. Numerical examples complete this paper.
Ioannis K. Argyros +2 more
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Convergence ball of iterations with one parameter
Applied Mathematics-A Journal of Chinese Universities, 2005This article looks at a general family of iterative methods with one parameter to solve the equation \(F(\vec{x})=0\), which includes the super-Halley, the Chebyshev as well as the Halley method. Under a weak Lipschitz condition the author proves a convergence theorem and estimates the convergence radius.
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Homocentric convergence ball of the secant method
Applied Mathematics-A Journal of Chinese Universities, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ball Convergence of a Sixth Order Iterative Method
2015We present a local convergence analysis of a sixth order iterative method for approximate a locally unique solution of an equation defined on the real line.
George A. Anastassiou +1 more
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Convergence ball and error analysis of a family of iterative methods with cubic convergence
Applied Mathematics and Computation, 2009A family of iterative methods covering various third order variants of Newton's method is proposed, and their convergence is studied. Assuming Lipschitz continuous second derivatives, cubic convergence is obtained. Some numerical examples are included.
Ren, Hongmin, Wu, Qingbiao
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On the Convergence of Projections of Uniform Distributions on Balls
Theory of Probability & Its Applications, 1991See the review in Zbl 0717.60037.
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Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
SeMA Journal, 2015The local convergence of a method presented by Cordero et al. (see references [10, 12-14] in the paper under review) of convergence order at least five to approximate a locally unique solution of a nonlinear equation is studied. The convergence in this study is shown under hypotheses on the first derivative. The applicability of the method is expanded.
Á. Alberto Magreñán +1 more
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Ball convergence for a three-point method with optimal convergence order eight under weak conditions
Asian-European Journal of Mathematics, 2018We present a local convergence analysis of an optimal eighth-order family of Ostrowski like methods for approximating a locally unique solution of a nonlinear equation. Earlier studies [T. Lotfi, S. Sharifi, M. Salimi and S. Siegmund, A new class of three-point methods with optimal convergence and its dynamics, Numer.
Argyros, Ioannis K. +2 more
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