Points Fixes, Zeros ET LA Methode De Newton (German, Paperback, 2006 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Mathematiques et Applications, v. 54
Release date:	February 2006
First published:	March 2006
Authors:	Jean-Pierre Dedieu
Dimensions:	234 x 156 x 11mm (L x W x T)
Format:	Paperback - Trade
Pages:	216
Edition:	2006 ed.
ISBN-13:	978-3-540-30995-6
Languages:	German
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Optimization > Linear programming
LSN:	3-540-30995-0
Barcode:	9783540309956

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