Points fixes, zéros et la méthode de Newton

Jean-Pierre Dedieu

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French

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
06 March 2006

Cybernetics & systems theory; Number systems; Differential calculus & equations; Numerical analysis; Optimisation; Linear programming

Series: Mathématiques et Applications

Cet ouvrage est consacré aux points fixes d'applications différentiables, aux zéros de systèmes non-linéaires et à la méthode de Newton. Il s'adresse à des étudiants de mastère ou préparant l'agrégation de mathématique et à des chercheurs confirmés. La première partie est consacrée à la méthode des approximations successives et confronte un point de vue «systèmes dynamiques» (théorèmes de Grobman-Hartman, de la variété stable) à des exemples issus de l'analyse numérique. La seconde partie de cet ouvrage expose la méthode de Newton et ses développements les plus récents (théorie alpha de Smale, systèmes sous ou sur-déterminés). Elle présente une nouvelle approche de ce sujet et un ensemble de résultats originaux publiés pour la première fois dans un ouvrage de langue française.

By: Jean-Pierre Dedieu
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: 2006 ed.
Volume: 54
Dimensions: Height: 235mm, Width: 155mm, Spine: 11mm
Weight: 690g
ISBN: 9783540309956
ISBN 10: 3540309950
Series: Mathématiques et Applications
Pages: 196
Publication Date: 06 March 2006
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Points fixes.- La méthode de Newton.- La méthode de Newton pour des systémes.- La méthode de Newton-Gauss pour des systèmes sur-déterminés.- Appendices.

Reviews for Points fixes, zéros et la méthode de Newton

<p>From the reviews: Fixed point schemes are an important tool in pure and applied mathematics. This book offers a good introduction to them and in particular provides an in depth treatment of the Newton method. A very nice feature of this book is the many interesting examples that accompany each chapter. The book is carefully crafted and well written. As it is mostly self contained and possesses several appendices recalling the basic notions, it should be accessible to master students. (Christophe Troestler, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)