Operators and Iterative Processes of Fejér Type (eBook)

Theory and Applications

Vladimir V Vasin, Ivan I. Eremin (Autoren)

eBook Download: PDF

2009
169 Seiten
De Gruyter (Verlag)
978-3-11-021819-0 (ISBN)

Infos

This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejér property. The book is elementary, self-contained and uses methods from functional analysis, with a special focus on the construction of iterative schemes. Applications to parallelization, randomization and linear programming are also considered.

Vladimir V. Vasin and Ivan I. Eremin, Institute of Mathematics and Mechanics, Ekaterinburg, Russia.

Autor

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Vladimir V. Vasin and Ivan I. Eremin, Institute of Mathematics and Mechanics, Ekaterinburg, Russia.

Inhalt

Frontmatter 1
Contents 11
Introduction 15
Chapter I. General properties of nonlinear operators of Fejér type 17
Chapter II. Applications of iterative processes to nonlinear equations 57
Chapter III. Application of Fejér methods to solve linear and convex inequalities 93
Chapter IV. Some topics of Fejér mappings and processes 123

Produkt-Details

• Erscheint lt. Verlag: 2.6.2009
• Reihe/Serie: Inverse and Ill-Posed Problems Series
• Reihe/Serie: Inverse and Ill-Posed Problems Series
• Reihe/Serie: ISSN
• Reihe/Serie: ISSN
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Technik
• Schlagworte: Fixpunkt-Method • ill-posed problems • Inverses Problem • Iteration Method • Iteration Method; Nonlinear Equations; Ill-posed Problems; Noisy Data; Optimization • Nichtlineare Operatorgleichung • Noisy Data • Nonlinear Equations • Optimierung • Optimization
• ISBN-10: 3-11-021819-4 / 3110218194
• ISBN-13: 978-3-11-021819-0 / 9783110218190