Analytical View of Sir Isaac Newton's Principia
Henry Brougham, Edward John Routh
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Displaying similar documents to “A. C. Clarke's Space Odyssey and Newton's law of gravity”
Analytical View of Sir Isaac Newton's Principia
Implementation of full linearization in semismooth Newton method for 2D contact problem
Foltyn, Ladislav, Vlach, Oldřich
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To solve the contact problems by using a semismooth Newton method, we shall linearize stiffness and mass matrices as well as contact conditions. The latter are prescribed by means of mortar formulation. In this paper we describe implementation details.
On the truncated-Newton approach for the hydropower generation management.
Laureano F. Escudero (1983)
Qüestiió
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A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses
Ioannis K. Argyros (2005)
Applicationes Mathematicae
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The Newton-Kantorovich approach and the majorant principle are used to provide new local and semilocal convergence results for Newton-like methods using outer or generalized inverses in a Banach space setting. Using the same conditions as before, we provide more precise information on the location of the solution and on the error bounds on the distances involved. Moreover since our Newton-Kantorovich-type hypothesis is weaker than before, we can cover cases where the original Newton-Kantorovich...
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein...
Newton Polyhedra and Irreducibility.
Aleksandar Lipkovski (1988)
Mathematische Zeitschrift
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A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to ...
Fractal Newton basins.
Sahari, M.L., Djellit, I. (2006)
Discrete Dynamics in Nature and Society
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A majorant principle for multipoint iterations without memory
J. Trojan (1980)
Applicationes Mathematicae
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Robust preconditioners for the matrix free truncated Newton method
Lukšan, Ladislav, Matonoha, Ctirad, Vlček, Jan
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New positive definite preconditioners for the matrix free truncated Newton method are given. Corresponding algorithms are described in detail. Results of numerical experiments that confirm the efficiency and robustness of the preconditioned truncated Newton method are reported.