Results 51 to 60 of about 7,885 (185)
Newton's method in the context of gradients
Electronic Journal of Differential Equations, 2007 This paper gives a common theoretical treatment for gradient and Newton type methods for general classes of problems. First, for Euler-Lagrange equations Newton's method is characterized as an (asymptotically) optimal variable steepest descent method ...
John W. Neuberger, Janos Karatson
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Attracting Orbits in Newton's Method [PDF]
Transactions of the American Mathematical Society, 1986 It is well known that the dynamical system generated by Newton’s Method applied to a real polynomial with all of its roots real has no periodic attractors other than the fixed points at the roots of the polynomial. This paper studies the effect on Newton’s Method of roots of a polynomial "going complex". More generally, we consider
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Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
Nonlinear Analysis, 2003 Implicit finite differences are often applied to solve flow models. A standard technique to solve these equations is Newton's method. lf time step is too large although the difference equation could be computationally stable, Newton's method may fail ...
S. K. Dey
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A new approach for solving nonlinear system of equations using Newton method and HAM [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 A new approach utilizing Newton Method and Homotopy Analysis Method (HAM) is proposed for solving nonlinear system of equations. Accelerating the rate of convergence of HAM, and obtaining a global quadratic rate of convergence are the main purposes of ...
Jalal Izadian +2 more
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ON MULTIPHASE ALGORITHM FOR SINGLE VARIABLE EQUATION USING NEWTON'S CORRECTION METHOD [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 This paper brings to light a method based on Multiphase algorithm for single variable equation using Newton's correction. Newton's method is derived through the logarithmic differentiation of polynomial equation. A correction term which enhances the high
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A new approach for solving nonlinear singular boundary value problems
Mathematical Modelling and Analysis, 2018 In this paper, an e_cient method based on Quasi-Newton's method and the simpli_ed reproducing kernel method is proposed for solving nonlinear singular boundary value problems. For the Quasi-Newton's method the convergence order is studied.
Hui Zhu +3 more
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Modelling and Simulation in Engineering, 2015 A geometric modification to the Newton-Secant method to obtain the root of a nonlinear equation is described and analyzed. With the same number of evaluations, the modified method converges faster than Newton’s method and the convergence order of the new
Gustavo Fernández-Torres
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Converging Newton’s Method With An Inflection Point of A Function
Jurnal 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
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Newton's Method in Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1955 1. G. N. Watson, A treatise on the theory of Bessel functions, 2d ed., Cambridge University Press, 1944. 2. K. M. Siegel, An inequality involving Bessel functions of argument nearly equal to their order, Proc. Amer. Math. Soc., vol. 4 (1953) pp. 858-859. 3. K. M. Siegel and F. B.
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International Journal of Mathematics and Mathematical Sciences, 2001 In 1977 Hubbard developed the ideas of Cayley (1879) and solved in particular the Newton-Fourier imaginary problem. We solve the Newton-Fourier and the Chebyshev-Fourier imaginary problems completely.
Anna Tomova
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