Alternating Projection Methods

René Escalante, Marcos Raydan (Autoren)

Buch | Softcover

136 Seiten

2011
Society for Industrial & Applied Mathematics,U.S. (Verlag)
9781611971934 (ISBN)

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Describes and analyses 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 analyse convergence, speed of convergence, acceleration techniques, stopping criteria, and applications.

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.

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.

Preface
Chapter 1: Introduction
Chapter 2: Overview on Spaces
Chapter 3: The MAP on Subspaces
Chapter 4: Row-Action Methods
Chapter 5: Projecting on Convex Sets
Chapter 6: Applications of MAP for Matrix Problems
Bibliography
Author Index
Subject Index.

Reihe/Serie	Fundamentals of Algorithms
Verlagsort	New York
Sprache	englisch
Maße	177 x 251 mm
Gewicht	260 g
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-13	9781611971934 / 9781611971934
Zustand	Neuware