Alternating projection methods
 Author/Creator
 Escalante, René.
 Language
 English.
 Imprint
 Philadelphia : Society for Industrial and Applied Mathematics, c2011.
 Physical description
 ix, 127 p. : ill. ; 26 cm.
 Series
 Fundamentals of algorithms ; FA08.
Access
Available online

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QA521 .E83 2011

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QA521 .E83 2011
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 103120) and indexes.
 Contents

 Preface 1. Introduction 2. Overview on spaces 3. The MAP on subspaces 4. Rowaction methods 5. Projecting on convex sets 6. Applications of MAP for matrix problems Bibliography Author index Subject index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 nonmathematicians from many fields of applications who need to solve alternating projection problems in their work.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 René Escalante, Marcos Raydan.
 Series
 Fundamentals of algorithms ; FA08
 ISBN
 9781611971934
 1611971934