SIAM Homepage | Search Catalog | New Books | Author Index | Series Index | Title Index | View My Shopping Cart

The catalog and shopping cart are hosted for SIAM by EasyCart. Your transaction is secure. If you have any questions about your order, contact

Purchase Now!

Alternating Projection MethodsAlternating Projection Methods

René Escalante and Marcos Raydan

Fundamentals of Algorithms 08

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 provides readers with
• the theoretical and practical aspects of the most relevant alternating projection methods in a single accessible source;
• several acceleration techniques for every method it presents and analyzes, including schemes that cannot be found in other books;
• full descriptions of several important mathematical problems and specific applications for which the alternating projection methods represent an efficient option; and
examples and problems that illustrate this material.

This book can be used as a textbook for advanced undergraduate or first-year graduate students. Because it is comprehensive, it can also be used as a tutorial or a reference by mathematicians and nonmathematicians from many fields of application who need to solve alternating projection problems in their work.

Subject Index

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. He served on the faculty of the Scientific Computing Research Center (CCCT) at Universidad Central de Venezuela until 2003. He has published several books and numerous journal articles in scientific computing and mathematical modeling and is currently the Editor-in-Chief of the Bulletin of Computational Applied Mathematics.

Marcos Raydan is a professor in the Department of Scientific Computing and Statistics at Universidad Simón Bolívar and the Scientific Computing Research Center (CCCT) at Universidad Central de Venezuela. He is a member of the editorial board of Computational and Applied Mathematics and the author of over 60 papers on numerical mathematics and scientific computing.

To request an examination copy or desk copy of this book, please use our online request form at

Alternating Projection Methods, Row-action Methods, Convex Feasibility Problems, Dykstra's Algorithm, Acceleration Techniques.

2011 / x + 129 pages / Softcover / ISBN 978-1-611971-93-4
List Price $60.00 / SIAM Member Price $42.00 / Order Code FA08
Quantity desired

Search our catalog for:

Shopping cart provided by:
Select quantity and list or member price and then click the "Click to Order" button to add books to your shopping cart.
Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)