Newton-Kantorovich method and its global convergence.
Polyak, B.T. (2004)
Journal of Mathematical Sciences (New York)
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Displaying similar documents to “A note on Halley's method”
Newton-Kantorovich method and its global convergence.
On superadditive rates of convergence
Florian A. Potra (1985)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Improved ball convergence of Newton's method under general conditions
Ioannis K. Argyros, Hongmin Ren (2012)
Applicationes Mathematicae
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We present ball convergence results for Newton's method in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our hypotheses involve very general majorants on the Fréchet derivatives of the operators involved. In the special case of convex majorants our results, compared with earlier ones, have at least as large radius of convergence, no less tight error bounds on the distances involved, and no less precise information on the uniqueness...
Nondiscrete induction and an inversion-free modification of Newton's method
Florian-Alexandru Potra, Vlastimil Pták (1983)
Časopis pro pěstování matematiky
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Epiconvergence and -subgradients of convex functions.
Verona, Andrei, Verona, Maria Elena (1994)
Journal of Convex Analysis
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Note on the existence of iteration groups
A. Smajdor (1975)
Fundamenta Mathematicae
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An example of non-convex minimization and an application to Newton's problem of the body of least resistance
T. Lachand-Robert, M. A. Peletier (2001)
Annales de l'I.H.P. Analyse non linéaire
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Newton methods for solving two classes of nonsmooth equations
Yan Gao (2001)
Applications of Mathematics
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The paper is devoted to two systems of nonsmooth equations. One is the system of equations of max-type functions and the other is the system of equations of smooth compositions of max-type functions. The Newton and approximate Newton methods for these two systems are proposed. The Q-superlinear convergence of the Newton methods and the Q-linear convergence of the approximate Newton methods are established. The present methods can be more easily implemented than the previous ones, since...