Results 31 to 40 of about 12,484,135 (293)

A modified quasi-Newton method for nonlinear equations

open access: yesJournal of Computational and Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaowei Fang, Qin Ni, Meilan Zeng
openaire   +2 more sources

A Study of Modified Newton-Raphson Method [PDF]

open access: yesJournal of University of Shanghai for Science and Technology, 2021
A basic alteration of the standard Newton technique is investigated and described for the approximation of the roots of a univariate function. For a similar number of functions and evaluation of the derivative, an altered strategy combines quicker, with the convergence of the modified NR’s method being 2.4 as compared with the regular NR method which ...
openaire   +1 more source

The Newton-Raphson method and adaptive ODE solvers [PDF]

open access: yes, 2011
The Newton–Raphson method for solving nonlinear equations f(x) = 0 in ℝn is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure ...
THOMAS P. WIHLER   +3 more
core   +1 more source

A modified Newton method with cubic convergence: The multivariate case [PDF]

open access: yes, 2004
Recently, a modification of the Newton method for finding a zero of a univariate function with local cubic convergence has been introduced. Here, we extend this modification to the multi-dimensional case, i.e., we introduce a modified Newton method for ...
Homeier, H. H. H., Homeier, H.H.H
core   +1 more source

Learning regularized Gauss-Newton methods

open access: yes, 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   +1 more source

A modified Newton method for unconstrained minimization

open access: yes, 1989
Newton's method has proved to be a very efficient method for solving strictly convex unconstrained minimization problems. For the nonconvex case, various modified Newton methods have been proposed. In this paper, a new modified Newton method is presented.
Walter Murray   +2 more
openaire   +2 more sources

A semismooth newton method for the nearest Euclidean distance matrix problem

open access: yes, 2013
The Nearest Euclidean distance matrix problem (NEDM) is a fundamentalcomputational problem in applications such asmultidimensional scaling and molecularconformation from nuclear magnetic resonance data in computational chemistry.Especially in the latter ...
Qi, Houduo
core   +1 more source

Optimal eighth-order multiple root finding iterative methods using bivariate weight function

open access: yesResults in Control and Optimization, 2023
In this contribution, a novel eighth-order scheme is presented for solving nonlinear equations with multiple roots. The proposed scheme comprises of three steps with the modified Newton method as its first step followed by two weighted Newton steps ...
Rajni Sharma, Ashu Bahl, Ranjita Guglani
doaj   +1 more source

Fast local convergence for flow topology optimization using the lattice Boltzmann method with a modified Newton method

open access: yesNihon Kikai Gakkai ronbunshu, 2015
We propose a Newton-gradient-hybrid optimization method for fluid topology optimization. The method accelerates convergence and reduces computation time. In addition, the fluid-solid boundaries are clearly distinguished.
Kazuo YONEKURA, Yoshihiro KANNO
doaj   +1 more source

Newton's Method [PDF]

open access: yes, 2013
textRoot-finding algorithms have been studied for ages for their various applications. Newton's Method is just one of these root-finding algorithms.
Banacka, Nicole Lynn
core  

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