Results 11 to 20 of about 1,003,682 (268)
Ball Convergence for Steffensen-type Fourth-order Methods [PDF]
International Journal of Interactive Multimedia and Artificial Intelligence, 2015 We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation.
Ioannis K. Argyros, Santhosh George
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Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence
Journal of Numerical Analysis and Approximation Theory, 2021 We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used.
Ioannis K. Argyros, Santhosh George
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Ball convergence for an Aitken-Newton method
Journal of Numerical Analysis and Approximation Theory, 2018 We present a local convergence analysis of an eighth-order Aitken-Newton method for approximating a locally unique solution of a nonlinear equation. Earlier studies have shown convergence of these methods under hypotheses up to the eighth derivative of ...
Ioannis K. Argyros +2 more
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The Newtonian Operator and Global Convergence Balls for Newton’s Method [PDF]
Mathematics, 2020 We obtain results of restricted global convergence for Newton’s method from ideas based on the Fixed-Point theorem and using the Newtonian operator and auxiliary points.
José A. Ezquerro +1 more
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Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls [PDF]
Abstract and Applied Analysis, 2013 An estimation of uniqueness ball of a zero point of a mapping on Lie group is established. Furthermore, we obtain a unified estimation of radius of convergence ball of Newton’s method on Lie groups under a generalized L-average Lipschitz condition.
Jinsu He, Jinhua Wang, Jen-Chih Yao
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The convergence ball of Wang’s method for finding a zero of a derivative
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingbiao Wu, Hongmin Ren, Weihong Bi
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The Convergence Ball and Error Analysis of the Relaxed Secant Method [PDF]
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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Non-Ergodic Convergence Analysis of Heavy-Ball Algorithms
Proceedings of the AAAI Conference on Artificial Intelligence, 2019 In this paper, we revisit the convergence of the Heavy-ball method, and present improved convergence complexity results in the convex setting. We provide the first non-ergodic O(1/k) rate result of the Heavy-ball algorithm with constant step size for coercive objective functions.
Tao Sun 0005 +5 more
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On the Convergence Ball and Error Analysis of the Modified Secant Method
Advances in Mathematical Physics, 2018 We aim to study the convergence properties of a modification of secant iteration methods. We present a new local convergence theorem for the modified secant method, where the derivative of the nonlinear operator satisfies Lipchitz condition. We introduce
Rongfei Lin +3 more
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Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization
SIAM Journal on Optimization, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-François Aujol, Aude Rondepierre
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