Newton polyhedra and the degree of the L-function associated to an exponential sum.
A. Adolphson, S. Sperber (1987)
Inventiones mathematicae
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Displaying similar documents to “Weights of exponential sums, intersection cohomology, and Newton polyhedra.”
Newton polyhedra and the degree of the L-function associated to an exponential sum.
Twisted exponential sums and Newton polyhedra.
Alan Adolphson, Steven Sperber (1993)
Journal für die reine und angewandte Mathematik
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Estimation of Lojasiewicz Exponents and Newton Polygons.
Ben Lichtin (1981)
Inventiones mathematicae
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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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Topological Triviality of Deformations of Functions and Newton Filtrations.
Terence Gaffney, James Damon (1983)
Inventiones mathematicae
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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.
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...
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 (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...
Exponential polynomial inequalities and monomial sum inequalities in -Newton sequences
Charles R. Johnson, Carlos Marijuán, Miriam Pisonero, Michael Yeh (2016)
Czechoslovak Mathematical Journal
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We consider inequalities between sums of monomials that hold for all p-Newton sequences. This continues recent work in which inequalities between sums of two, two-term monomials were combinatorially characterized (via the indices involved). Our focus is on the case of sums of three, two-term monomials, but this is very much more complicated. We develop and use a theory of exponential polynomial inequalities to give a sufficient condition for general monomial sum inequalities, and use...