Generalized -Newton inequalities revisited.
Xu, Jianhong (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Xu, Jianhong (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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A. Adolphson, S. Sperber (1987)
Inventiones mathematicae
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Henry Brougham, Edward John Routh
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Laureano F. Escudero (1983)
Qüestiió
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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.
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...
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...
Alan Adolphson, Steven Sperber (1993)
Journal für die reine und angewandte Mathematik
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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 ...
Mateusz Masternak (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
Monov, Vladimir V. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Cung The Anh, Dang Thanh Son (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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We study the existence and long-time behavior of weak solutions to Newton-Boussinesq equations in two-dimensional domains satisfying the Poincaré inequality. We prove the existence of a unique minimal finite-dimensional pullback -attractor for the process associated to the problem with respect to a large class of non-autonomous forcing terms.
J. Trojan (1980)
Applicationes Mathematicae
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