Results 61 to 70 of about 7,885 (185)
Finite Basin's Area Fractal via Complex Newton's Method [PDF]
Kirkuk Journal of Science, 2018 In this study, we explain that when we applied Newton’s method on , the basins of roots have finite area when , where and . Using MATLAB we obtained nice fractals in order to prove the finite basins area when .
Zainab Weli Murad
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Extending the applicability of Newton's method using nondiscrete induction [PDF]
, 2013 summary:We extend the applicability of Newton's method for approximating a solution of a nonlinear operator equation in a Banach space setting using nondiscrete mathematical induction concept introduced by Potra and Pták.
Argyros, Ioannis K., Hilout, Saïd
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GalilæanaThis essay examines Celestino Cominale’s (1722–1785) self-proclaimed ‘anti-Newtonianism’. Between 1754 and 1770, Cominale published four volumes under the title of Anti-Newtonianismi, in which he launched a sustained attack on Newton’s natural ...
Steffen Ducheyne, Bianca Burani
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, 2011 This Demonstration illustrates geometrically Newton's method for approximating roots. The available functions illustrate places where Newton's method yields interesting behaviorComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Sharp, Angela +2 more
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On an application of Newton's Method to Nonlinear Operators with w-Conditioned Second Derivative. [PDF]
, 2002 We present a new approach to study the convergence of Newton's method in Banach spaces, which relax the conditions appearing in the usual studies. The approach is based on the bound required for the second derivative of the operator involved.
Ezquerro, J.A. [0000-0001-8120-167X] +1 more
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International Journal of Mathematics and Mathematical Sciences, 2011 One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper.
Sanjeev Kumar +3 more
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Energies, 2017 The resistivity of oil impregnated paper will decrease during its aging process. This paper takes paper resistivity as an assessment index to evaluate the insulation condition of oil impregnated paper in power transformer.
Jiangjun Ruan +8 more
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Newton’s Method for Convex Operators and Applications
International 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
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Newton’s method and symbolic dynamics [PDF]
Proceedings of the American Mathematical Society, 1984 The starting point of the paper is a result by B. Barna stating the convergence of Newton's method to a root of a polynomial, except for a set of initial points homeomorphic to a Cantor set. The assumptions of Barna's theorem are that: (1) the polynomial has degree at least four; (2) all the roots are real, distinct, and simple.
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Newton’s Method in Three Precisions
Pacific Journal of Optimization, 2023 We describe a three precision variant of Newton's method for nonlinear equations. We evaluate the nonlinear residual in double precision, store the Jacobian matrix in single precision, and solve the equation for the Newton step with iterative refinement with a factorization in half precision. We analyze the method as an inexact Newton method.
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