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Semi-local Convergence in Right Abstract Fractional Calculus
, 2017 We provide a semi-local convergence analysis for a class of iterative methods under generalized conditions in order to solve equations in a Banach space setting. Some applications are suggested including Banach space valued functions of right fractional calculus, where all integrals are of Bochner-type. It follows [5].
George A. Anastassiou +1 more
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Local and semi-local convergence and dynamic analysis of a time-efficient nonlinear technique
Applied Numerical MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K Argyros +2 more
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Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmin Ren, Ioannis K Argyros
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmin Ren, Ioannis K Argyros
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On the Semi-local Convergence Analysis of Higher Order Iterative Method in Two Folds
International Journal of Applied and Computational Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Neha Gupta, J P Jaiswal, Jaiswal J P
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Semi-Local Convergence of a Derivative Free Method
The Theory and Applications of Iteration Methods, 2021I. Argyros
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Semi-Local Convergence of the Lagrange-Newton Method with Application to Optimal Control
1995This paper investigates semi-local convergence of the Lagrange Newton method for optimization problems in Banach spaces. Explicit estimates for the radius of convergence are derived. The results are applied to optimal control problems and their discretization by the control parameterization Ritz method.
W. Alt
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Local Convergence of the Continuous and Semi-Discrete Wavelet Transform in Lp(R)
Mathematics, 2021 The smoothness of functions f in the space Lp(R) with 1<p<∞ is studied through the local convergence of the continuous wavelet transform of f. Additionally, we study the smoothness of functions in Lp(R) by means of the local convergence of the semi-
OSCAR Herrera-Alcántara
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Convergence Analysis and Latency Minimization for Retransmission-Based Semi-Federated Learning
Global Communications Conference, 2023In this paper, we propose a semi-federated learning (SemiFL) framework to ameliorate the performance of conventional federated learning. The base station and devices are coordinated to collaboratively train a shared model.
Jingheng Zheng +4 more
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2021
Summary: This paper deals with the study of relaxed conditions for semi-local convergence for a general iterative method, \(k\)-step Newton's method, using majorizing sequences. Dynamical behavior of the mentioned method is also analyzed via Julia set and basins of attraction.
Lotfi, Taher, Moccari, Mandana
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Summary: This paper deals with the study of relaxed conditions for semi-local convergence for a general iterative method, \(k\)-step Newton's method, using majorizing sequences. Dynamical behavior of the mentioned method is also analyzed via Julia set and basins of attraction.
Lotfi, Taher, Moccari, Mandana
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Semi-local convergence of a Newton-like method for solving equations with a singular derivative
Creative Mathematics and Informatics, 2018We present a semi-local convergence analysis for a Newton-like method to approximate solutions of equations when the derivative is not necessarily non-singular in a Banach space setting. In the special case when the equation is defined on the real line the convergence domain is improved for this method when compared to earlier results.
IOANNIS K. ARGYROS, GEORGE SANTHOSH
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