Results 41 to 50 of about 7,885 (185)
Real dynamics for damped Newton's method applied to cubic polynomials
, 2015 In this paper we study the real dynamics of the damped Newton's methods applied to cubic polynomials, but instead of taking a value of the damping factor λ∈(0,1), we consider all values of λ∈R.
Gutiérrez, José Manuel [0000-0002-0434-7250] +1 more
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Newton's method and regularly smooth operators
Journal of Numerical Analysis and Approximation Theory, 2011 A semilocal convergence analysis for Newton's method in a Banach space setting is provided in this study. Using a combination of regularly smooth and center regularly smooth conditions on the operator involved, we obtain more precise majorizing sequences
Ioannis K. Argyros
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On Newton's method for subanalytic equations
Journal of Numerical Analysis and Approximation Theory, 2017 We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24]
Ioannis K. Argyros, Santhosh George
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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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On the local convergence of Newton's method under generalized conditions of Kantorovich [PDF]
, 2013 Following an idea similar to that given by Dennis and Schnabel (1996) in [2], we prove a local convergence result for Newton's method under generalized conditions of Kantorovich type. © 2013 Elsevier Ltd.
González, D. [0000-0001-5282-7251] +2 more
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, 2021 Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"The center Lipschitz condition is used in this chapter, together with the Lipschitz condition, in order to obtain weaker convergence criteria to ensure ...
Argyros, Ioannis K +1 more
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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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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-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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Solving a Class of Nonlinear Eigenvalue Problems by Newton's Method [PDF]
, 2009 We examine the possibility of using the standard Newton's method for solving a class of nonlinear eigenvalue problems arising from electronic structure calculation.
Gao, Weiguo, Meza, Juan C., Yang, Chao
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