Results 11 to 20 of about 11,594,401 (253)
Newton’s Method for Convex Operators and Applications
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
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Converging Newton’s Method With An Inflection Point of A Function
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
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Understanding (in) Newton’s Argument for Universal Gravitation. [PDF]
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
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Study of the semilocal convergence and dynamical behaviour for a modified Newton’s method to solve nonlinear systems with singularities [PDF]
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
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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
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Can we know what Newton's scientific method is? [PDF]
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
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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
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On the Solution of Equations by Extended Discretization
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
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Newton’s method for first-order stochastic functional partial differential equations [PDF]
We apply Newton’s method to hyperbolic stochastic functional partial differential equations of the first order driven by a multidimensional Brownian motion.
Wrzosek, Monika
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