Evaluation of estimation methods for parameters of the probability functions in tree diameter distribution modeling [PDF]
Environmental Resources Research, 2020 One of the most commonly used statistical models for characterizing the variations of tree diameter at breast height is Weibull distribution. The usual approach for estimating parameters of a statistical model is the maximum likelihood estimation ...
M. Teimouri +2 more
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Newton type methods for solving a Hasegawa–Mima plasma model [PDF]
, 2023 In Karakazian and Nassif (2019), the non-linear space-time Hasegawa–Mima plasma equation is formulated as a coupled system of two linear PDEs, a solution of which is a pair (u,w), with w=(I−Δ)u.
Nabil R. Nassif +3 more
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On mesh independence and Newton-type methods [PDF]
, 1993 summary:Mesh-independent convergence of Newton-type methods for the solution of nonlinear partial differential equations is discussed. First, under certain local smoothness assumptions, it is shown that by properly relating the mesh parameters $H$ and $h$
Grossmann, Christian +5 more
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Newton methods for solving two classes of nonsmooth equations [PDF]
, 2001 summary:The paper is devoted to two systems of nonsmooth equations. One is the system of equations of max-type functions and the other is the system of equations of smooth compositions of max-type functions.
Gao, Yan
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On Fractional Newton‐Type Method for Nonlinear Problems
Journal of Mathematics, 2022 The current manuscript is concerned with the development of the Newton–Raphson method, playing a significant role in mathematics and various other disciplines such as optimization, by using fractional derivatives and fractional Taylor series expansion.
Mine Aylin Bayrak +2 more
openaire +3 more sources
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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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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Learning regularized Gauss-Newton methods
, 2022 We consider variational networks for a class of nonlinear-ill-posed least squares inverse problems. These problems are addressed by regularized Gauss-Newton type optimization algorithms where the regularization is learned by a neural network.
Francesco Colibazzi +3 more
core
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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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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