On Newton-type Methods with Cubic Convergence [PDF]
, 2005 Recently, there has been some progress on Newton-type methods with cubic convergence that do not require the computation of second derivatives. Weerakoon and Fernando (Appl. Math. Lett.
Homeier, H. H. H., Homeier, H.H.H.
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A Unified Convergence Analysis for Some Two-Point Type Methods for Nonsmooth Operators
Mathematics, 2019 The aim of this paper is the approximation of nonlinear equations using iterative methods. We present a unified convergence analysis for some two-point type methods.
Sergio Amat +4 more
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On Newton-type methods for multiple roots with cubic convergence [PDF]
, 2009 We introduce two families of Newton-type methods for multiple roots with cubic convergence. A further Newton-type method for multiple roots with cubic convergence is presented that is related to quadrature.
Homeier, H. H. H., Homeier, H.H.H.
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Newton-type methods under generalized self-concordance and inexact oracles [PDF]
, 2019 Many modern applications in machine learning, image/signal processing, and statistics require to solve large-scale convex optimization problems.
Sun, Tianxiao
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Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus
Algorithms, 2015 We present a semilocal convergence study of Newton-type methods on a generalized Banach space setting to approximate a locally unique zero of an operator. Earlier studies require that the operator involved is Fréchet differentiable.
George A. Anastassiou +1 more
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Analysis of Accuracy of Interpolation Methods in Estimating the Output Factors for Square Fields in Medical Linear Accelerator [PDF]
Iranian Journal of Medical Physics, 2017 Introduction: To estimate the accuracy levels of Lagrange, Newton backward interpolation, and linear interpolation methods in estimating the output factors for square fields used in linear accelerator for 6 MV photons at various depths.
ATHIYAMAN MAYILVAGANAN +3 more
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Isaac Newton: De Grecia al renacimiento [PDF]
, 2022 Notas sobre la obra e historia de Isaac Newton. Este documento, preparado para el Cursos de Contexto en Astronomía de la Universidad Nacional de Colombia sede Manizales, se basa fundamentalmente en un resumen del libro de William Rankim, “Newton para ...
Duque Escobar, Gonzalo
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Inexact Newton-Kantorovich Methods for Constrained Nonlinear Model Predictive Control
, 2018 In this paper we consider Newton-Kantorovich type methods for solving control-constrained optimal control problems that appear in model predictive control. Conditions for convergence are established for an inexact version of the Newton-Kantorovich method
Nicotra, Marco +3 more
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Asymptotically Newton-Type Methods without Inverses for Solving Equations
MathematicsThe implementation of Newton’s method for solving nonlinear equations in abstract domains requires the inversion of a linear operator at each step. Such an inversion may be computationally very expensive or impossible to find.
Ioannis K. Argyros +5 more
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Local convergence of some Newton-type methods for nonlinear systems
Journal of Numerical Analysis and Approximation Theory, 2004 In order to approximate the solutions of nonlinear systems\[F(x)=0,\]with \(F:D\subseteq {\mathbb R}^{n}\rightarrow {\mathbb R}^{n}\),\(n\in {\Bbb N}\), we consider the method\begin{align*}x_{k+1} & =x_{k}-A_{k}F(x_{k})\label{f1.4}\\A_{k+1} & =A_{k}(2I-F^
Ion Păvăloiu
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