Cantitate/Preț
Produs

Iterative Methods for Fixed Point Problems in Hilbert Spaces: Lecture Notes in Mathematics, cartea 2057

Autor Andrzej Cegielski
en Limba Engleză Paperback – 13 sep 2012
Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems.
Citește tot Restrânge

Din seria Lecture Notes in Mathematics

Preț: 35136 lei

Puncte Express: 527

Preț estimativ în valută:
6732 7292$ 5773£

Carte tipărită la comandă

Livrare economică 06-13 mai

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783642309007
ISBN-10: 3642309003
Pagini: 316
Ilustrații: XVI, 298 p. 61 illus., 3 illus. in color.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.49 kg
Ediția:2013
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1 Introduction.- 2 Algorithmic Operators.- 3 Convergence of Iterative Methods.- 4 Algorithmic Projection Operators.- 5 Projection methods.

Recenzii

From the reviews:
“Cegielski provides us with a very carefully written monograph on solving convex feasibility (and more general fixed point) problems. … Cegielski’s monograph can serve as an excellent source for an upper-level undergraduate or graduate course. … researchers in this area now have a valuable source of recent results on projection methods to which the author contributed considerably in his work over the past two decades. In summary, I highly recommend this book to anyone interested in projection methods, their generalizations and recent developments.” (Heinz H. Bauschke, Mathematical Reviews, July, 2013)
“This book is mainly concerned with iterative methods to obtain fixed points. … this book is an excellent introduction to various aspects of the iterative approximation of fixed points of nonexpansive operators in Hilbert spaces, with focus on their important applications to convex optimization problems. It would be an excellent text for graduate students, and, by the way the material is structured and presented, it will also serve as a useful introductory text for young researchers in this field.” (Vasile Berinde, Zentralblatt MATH, Vol. 1256, 2013)

Textul de pe ultima copertă

Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems.

Caracteristici

The projection methods for fixed point problems are presented in a consolidated way
Over 60 figures help to understand the properties of important classes of algorithmic operators
The convergence properties of projection methods follow from a few general convergence theorems presented in the monograph
Includes supplementary material: sn.pub/extras