Points Fixes, Zeros ET LA Methode De Newton

By:

Jean-Pierre Dedieu (Universite Paul Sabatier)

Format:

Paperback

Series:

Mathematiques Et Applications

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Description

Cet ouvrage est consacrA(c) aux points fixes d'applications diffA(c)rentiables, aux zA(c)ros de systA]mes non-linA(c)aires et A la mA(c)thode de Newton. Il s'adresse A des A(c)tudiants de mastA]re ou prA(c)parant l'agrA(c)gation de mathA(c)matique et A des chercheurs confirmA(c)s. La premiA]re partie est consacrA(c)e A la mA(c)thode des approximations successives et confronte un point de vue AsystA]mes dynamiquesA (thA(c)orA]mes de Grobman-Hartman, de la variA(c)tA(c) stable) A des exemples issus de l'analyse numA(c)rique. La seconde partie de cet ouvrage expose la mA(c)thode de Newton et ses dA(c)veloppements les plus rA(c)cents (thA(c)orie alpha de Smale, systA]mes sous ou sur-dA(c)terminA(c)s). Elle prA(c)sente une nouvelle approche de ce sujet et un ensemble de rA(c)sultats originaux publiA(c)s pour la premiA]re fois dans un ouvrage de langue franAaise.

This is an advanced text on fixed points, zeros of nonlinear systems and the Newton method. Its first part, devoted to fixed points, includes the Grobman-Hartman and the stable manifold theorems. The second part describes the Newton method from a modern point of view: Smale's alpha theory, underdetermined and overdetermined systems of equations. These results are illustrated by various examples from numerical analysis.

Release date Australia

February 28th, 2006

Author

Jean-Pierre Dedieu (Universite Paul Sabatier)

Audience

Professional & Vocational

Country of Publication

Germany

Illustrations

7 ill.

Imprint

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Pages

216

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Series

Mathematiques Et Applications

Dimensions

156x234x11

ISBN-13

9783540309956

Product ID

2835847

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