Alternating Projection Methods

Marcos Raydan, René Escalante

ISBN 10: 1611971934 / ISBN 13: 9781611971934

Published by Society for Industrial and Applied Mathematics,U.S., US, 2011

About this Item

This book describes and analyzes all available alternating projection methods for solving the general problem of finding a point in the intersection of several given sets belonging to a Hilbert space. For each method the authors describe and analyze convergence, speed of convergence, acceleration techniques, stopping criteria, and applications. Different types of algorithms and applications are studied for subspaces, linear varieties, and general convex sets. The authors also unify these algorithms into a common theoretical framework.Alternating Projection Methods is a comprehensive and accessible source of information, providing readers with the theoretical and practical aspects of the most relevant alternating projection methods. It features several acceleration techniques for every method it presents and analyzes, including schemes that cannot be found in other books. It also provides full descriptions of several important mathematical problems and specific applications for which the alternating projection methods represent an efficient option. Examples and problems that illustrate this material are also included.

Seller Inventory # LU-9781611971934

Bibliographic Details

• Title: Alternating Projection Methods
• Publisher: Society for Industrial and Applied Mathematics,U.S., US
• Publication Date: 2011
• Language: English
• ISBN 10: 1611971934
• ISBN 13: 9781611971934
• Binding: Paperback
• Condition: New
• Weight: 250 grams

About this title

Synopsis

This comprehensive textbook describes and analyzes all available alternating projection methods for solving the general problem of finding a point in the intersection of several given sets that belong to a Hilbert space. For each method, the authors describe and analyze the issues of convergence, speed of convergence, acceleration techniques, stopping criteria and applications. Different types of algorithms and applications are studied for subspaces, linear varieties and general convex sets. The authors also unify these algorithms in a common theoretical framework. Many examples and problems are included in order to reinforce student learning. This book can be used as a textbook for graduate or advanced undergraduate students. Because it is comprehensive, it can also be used as a tutorial or a reference by mathematicians and non-mathematicians from many fields of applications who need to solve alternating projection problems in their work.

About the Authors

René Escalante is a professor in the Department of Scientific Computing and Statistics and Center for Research CESMa at Universidad Simón Bolívar, Venezuela.

Marcos Raydan is a professor in the Department of Scientific Computing and Statistics at Universidad Simón Bolívar, and also in the Scientific Computing Research Center (CCCT) at Universidad Central de Venezuela.