Results 41 to 50 of about 10,998,730 (181)
A quasi-Newton modified LP-Newton method
Optimization Methods and Software, 2017 Fil: Martinez, Maria de Los Angeles. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Cordoba. Centro de Investigacion y Estudios de Matematica. Universidad Nacional de Cordoba.
María de los Ángeles Martínez +1 more
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Newton-Product Integration for a Stefan Problem with Kinetics [PDF]
Journal of Sciences, Islamic Republic of Iran, 2011 Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence
K. Ivaz
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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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Journal of Numerical Analysis and Approximation Theory, 2007 In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [6]-[8]
Ioannis Argyros
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Transforming common-sense beliefs into Newtonian thinking through Just-In-Time Teaching
Physical Review Special Topics. Physics Education Research, 2010 To determine whether teaching an introductory physics course with a traditional lecture style or with Just-in-Time teaching (a student-centered, interactive-engagement style) will help students to better understand Newtonian concepts, such as Newton’s ...
Sarah P. Formica +2 more
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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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Center conditions on high order derivatives in the semilocal convergence of Newton's method
, 2015 We modify the classical theory of Kantorovich to analyze the semilocal convergence of Newton's method in Banach spaces under center conditions for high order derivatives. As a consequence, we obtain a modification of the domain of the starting points for
Hernández-Verón, M.A. [0000-0001-5478-2958] +1 more
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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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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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