The Newton polygon of a product of power series.

Detlev W. Hoffmann

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Displaying similar documents to “The Newton polygon of a product of power series.”

Analytical View of Sir Isaac Newton's Principia

Henry Brougham, Edward John Routh

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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...

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.

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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Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative

Ioannis Argyros (1999)

Applicationes Mathematicae

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We use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach space. Solving a nonlinear equation using Newton iterates at each stage is very expensive in general. That is why we consider inexact Newton methods, where the Newton equations are solved only approximately, and in some unspecified manner. In earlier works [2], [3], natural assumptions under which the forcing sequences are uniformly less than one were given based on the second Fréchet derivative...

A majorant principle for multipoint iterations without memory

J. Trojan (1980)

Applicationes Mathematicae

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Fractal Newton basins.

Sahari, M.L., Djellit, I. (2006)

Discrete Dynamics in Nature and Society

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Estimation of Lojasiewicz Exponents and Newton Polygons.

Ben Lichtin (1981)

Inventiones mathematicae

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Discrete Newton Methods and Iterated Defect Corrections.

K. Böhmer (1981)

Numerische Mathematik

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