Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Argyros, Ioannis K. (1956-....)
Titre(s) : Convergence and applications of Newton-type iterations [Texte électronique] / Ioannis K. Argyros
Publication : New York, NY : Springer, cop. 2008
Description matérielle : 1 online resource (xv, 506 pages)
Note(s) : Includes bibliographical references (pages 493-502) and index
"Recent results in local convergence and semi-local convergence analysis constitute
a natural framework for the theoretical study of iterative methods. This monograph
provides a comprehensive study of both basic theory and new results in the area. Each
chapter contains new theoretical results and important applications in engineering,
modeling dynamic economic systems, input-output systems, optimization problems, and
nonlinear and linear differential equations. Several classes of operators are considered,
including operators without Lipschitz continuous derivatives, operators with high
order derivatives, and analytic operators. Each section is self-contained. Examples
are used to illustrate the theory and exercises are included at the end of each chapter."--Jacket
Sujet(s) : Équations différentielles -- Informatique
Newton, Méthode de
Convergence (mathématiques)
Itération (mathématiques)
Indice(s) Dewey :
518.26 (23e éd.) = Méthodes itératives
Identifiants, prix et caractéristiques : ISBN 9780387727431
Identifiant de la notice : ark:/12148/cb44643438d
Notice n° :
FRBNF44643438
(notice reprise d'un réservoir extérieur)
Table des matières : 1 ; Operators and Equations11.1 ; Operators on linear spaces11.2 ; Divided differences
of operators91.3 ; Fixed points of operators252 ; The Newton-Kantorovich (NK) Method412.1
; Linearization of equations412.2 ; Semilocal convergence of the NK method422.3 ;
New sufficient conditions for the secant method542.4 ; Concerning the "terra incognita"
between convergence regions of two Newton methods622.5 ; Enlarging the convergence
domain of the NK method under regular smoothness conditions752.6 ; Convergence of
NK method and operators with values in a cone802.7 ; Convergence theorems involving
center-Lipschitz conditions842.8 ; The radius of convergence for the NK method902.9
; On a weak NK method1022.10 ; Bounds on manifolds1032.11 ; The radius of convergence
and one-parameter operator embedding1062.12 ; NK method and Riemannian manifolds1102.13
; Computation of shadowing orbits1132.14 ; Computation of continuation curves1162.15
; Gauss-Newton method1213 ; Applications of the Weaker Version of the NK Theor
