Results 61 to 70 of about 10,998,730 (181)
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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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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, 2016 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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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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A nonmonotone inexact Newton method [PDF]
Optimization Methods and Software, 2005 In this paper, we describe a variant of the inexact Newton method for solving nonlinear systems of equations. We define a nonmonotone inexact Newton step and a nonmonotone backtracking strategy. For this nonmonotone inexact Newton scheme, we present the convergence theorems.
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Third-order modification of Newton's method [PDF]
, 2007 In this paper, we present a new modification of Newton's method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Numerical examples show that the new method can compete with the classical Newton'
Xiuhua, Wang, Jisheng, Kou, Yitian, Li
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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 FFT trading
Journal of Symbolic Computation, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability Analysis of Jacobian-Free Newton’s Iterative Method
Algorithms, 2019 It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial estimations.
Abdolreza Amiri +3 more
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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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