Results 71 to 80 of about 10,998,730 (181)
, 2011 Explore Newton's method of root finding for several functions. Use the zoom slider to see more detail at three different levels of zoomComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Maes, Chris
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On the Distance to a Root of Polynomials
Abstract and Applied Analysis, 2011 In 2002, Dierk Schleicher gave an explicit estimate of an upper bound for the number of iterations of Newton's method it takes to find all roots of polynomials with prescribed precision. In this paper, we provide a method to improve the upper bound given
Somjate Chaiya
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Newton’s Method for the Matrix Nonsingular Square Root
Journal of Applied Mathematics, 2014 Two new algorithms are proposed to compute the nonsingular square root of a matrix A. Convergence theorems and stability analysis for these new algorithms are given. Numerical results show that these new algorithms are feasible and effective.
Chun-Mei Li, Shu-Qian Shen
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Newton's method under mild differentiability conditions [PDF]
, 1970 We study Newton's method for determining the solution of f(x) = 0 when f(x) is required only to be continuous and piecewise continuously differentiable in some sphere about the initial iterate, x^(0).
Keller, Herbert B., Herbert B. Keller
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, 2016 Explore Newton's method of root finding for several functions. Use the zoom slider to see more detail at three different levels of zoomComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Maes, Chris
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, 2008 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 ...
Fritz, Joshua +2 more
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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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Newton's method for stochastic functional differential equations
Electronic Journal of Differential Equations, 2012 In this article, we apply Newton's method to stochastic functional differential equations. The first part concerns a first-order convergence. We formulate a Gronwall-type inequality which plays an important role in the proof of the convergence theorem
Monika Wrzosek
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AIP Advances, 2014 In this paper, an implicit logarithmic finite difference method (I-LFDM) is implemented for the numerical solution of one dimensional coupled nonlinear Burgers’ equation.
Vineet K. Srivastava +3 more
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Assessing the benefits of approximately exact step sizes for Picard and Newton solver in simulating ice flow (FEniCS-full-Stokes v.1.3.2) [PDF]
Geoscientific Model DevelopmentSolving the momentum balance is the computationally expensive part of simulating the evolution of ice sheets. The momentum balance is described by the nonlinear full-Stokes equations, which are solved iteratively. We use the Picard iteration and Newton's
N. Schmidt +4 more
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