Numerical Processes for Approximating Solutions of Nonlinear Equations
Axioms, 2022 In this article, we present generalized conditions of three-step iterative schemes for solving nonlinear equations. The convergence order is shown using Taylor series, but the existence of high-order derivatives is assumed.
Samundra Regmi +3 more
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SAFA : a semi-asynchronous protocol for fast federated learning with low overhead [PDF]
, 2020 Federated learning (FL) has attracted increasing attention as a promising approach to driving a vast number of end devices with artificial intelligence.
He, Ligang +5 more
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Gradient flows and a Trotter--Kato formula of semi-convex functions on CAT(1)-spaces [PDF]
, 2016 We generalize the theory of gradient flows of semi-convex functions on CAT(0)-spaces, developed by Mayer and Ambrosio--Gigli--Savar\'e, to CAT(1)-spaces. The key tool is the so-called "commutativity" representing a Riemannian nature of the space, and all
Ohta, Shin-ichi, Pálfia, Miklós
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A semi-local convergence theorem for a robust revised Newton’s method
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhengyu, Wu, Xinyuan
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Gaussian semi-parametric estimation of fractional cointegration [PDF]
, 2003 We analyse consistent estimation of the memory parameters of a nonstationary fractionally cointegrated vector time series. Assuming that the cointegrating relationship has substantially less memory than the observed series, we show that a multi-variate ...
Velasco, Carlos
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Constrained-DFT method for accurate energy level alignment of metal/molecule interfaces [PDF]
, 2013 We present a computational scheme for extracting the energy level alignment of a metal/molecule interface, based on constrained density functional theory and local exchange and correlation functionals.
Pemmaraju, C. D. +4 more
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Activity Identification and Local Linear Convergence of Douglas--Rachford/ADMM under Partial Smoothness [PDF]
, 2015 Convex optimization has become ubiquitous in most quantitative disciplines of science, including variational image processing. Proximal splitting algorithms are becoming popular to solve such structured convex optimization problems.
A Chambolle +15 more
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On the Ostrowski Method for Solving Equations
European Journal of Mathematical Analysis, 2021 In this paper, we revisited the Ostrowski's method for solving Banach space valued equations. We developed a technique to determine a subset of the original convergence domain and using this new Lipschitz constants derived.
Ioannis K. Argyros +2 more
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Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries [PDF]
, 2015 Well posedness is established for a family of equations modelling particle populations undergoing delocalised coagulation, advection, inflow and outflow in a externally specified velocity field.
Patterson, Robert I. A.
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Fundamental Journal of Mathematics and Applications, 2019 The objective of this study is to extend the usage of Newton's method for Banach space valued operators. We use our new idea of restricted convergence domain in combination with the center Lipschitz hypothesis on the Frechet-derivatives where the center is not necessarily the initial point.
IIoannis K Argyros, Santhosh GEORGE
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