Results 11 to 20 of about 11,594,401 (253)

Newton’s Method for Convex Operators and Applications

open access: yesInternational Journal of Analysis and Applications, 2013
This review work presents the general statement of a variant of Newton’s method for convex monotone operators and its applications. We consider the estimation of the absolute error too. One makes the connection to the contraction principle.
Octav Olteanu
doaj   +3 more sources

Converging Newton’s Method With An Inflection Point of A Function

open access: yesJurnal Matematika Integratif, 2017
For long periods of time, mathematics researchers struggled in obtaining the appropriate starting point when implementing root finding methods, and one of the most famous and applicable is Newton’s method.
Ridwan Pandiya, Ismail Bin Mohd
doaj   +3 more sources

Understanding (in) Newton’s Argument for Universal Gravitation. [PDF]

open access: yes, 2009
In this essay, I attempt to assess Henk De Regt and Dennis Dieks recent pragmatic and contextual account of scientific understanding on the basis of an important historical case-study: understanding in Newton’s theory of universal gravitation and Huygens’
Steffen Ducheyne, Ducheyne, Steffen
core   +1 more source

Study of the semilocal convergence and dynamical behaviour for a modified Newton’s method to solve nonlinear systems with singularities [PDF]

open access: yes, 2023
In numerical analysis it is common to solve systems of nonlinear equations ofthe form H(w) = 0, where H(w) = (h1(w), . . . , hm(w)) is an operator definedon D ⊂ Rm, H : D → Rm, where hi : D ⊂ Rm → R, with 1 ≤ i ≤ m. In manycases, it is not easy to obtain
M. A. Hernández-Verón [0000-0001-5478-2958]   +2 more
core  

Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2019
In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K.   +2 more
doaj   +1 more source

Can we know what Newton's scientific method is? [PDF]

open access: yesروش شناسی علوم انسانی, 2020
I have tried to retrieve Newton’s scientific method. To do so, I raise two principal questions: 1. What is Newton’s evolving scientific method that he devised in The Principia and Opticks during a period of fifty years? 2.
saeid zibakalam
doaj   +1 more source

An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior

open access: yesOpen Mathematics, 2019
In this paper, we derive and analyze a new one-parameter family of modified Cauchy method free from second derivative for obtaining simple roots of nonlinear equations by using Padé approximant.
Liu Tianbao, Qin Xiwen, Li Qiuyue
doaj   +1 more source

On the Solution of Equations by Extended Discretization

open access: yesComputation, 2020
The method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found.
Gus I. Argyros   +4 more
doaj   +1 more source

Newton’s method for first-order stochastic functional partial differential equations [PDF]

open access: yes, 2014
We apply Newton’s method to hyperbolic stochastic functional partial differential equations of the first order driven by a multidimensional Brownian motion.
Wrzosek, Monika
core   +1 more source

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