| Projectors and Projection Methods 2004 Edition Contributor(s): Galántai, Aurél (Author) |
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ISBN: 1402075723 ISBN-13: 9781402075728 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: December 2003 Annotation: This volume includes most recent results and a unified treatment of projection methods with a special emphasis on the theory of projectors. The projection methods are selected for systems of linear and nonlinear algebraic equations and convex optimization problems, such as constrained optimization and convex feasibility problems. Audience: This volume is suitable for researchers and students in linear algebra, mathematical analysis and functional analysis. |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Mathematics | Algebra - Linear - Computers | Computer Science |
| Dewey: 511.4 |
| LCCN: 2003063520 |
| Series: Advances in Mathematics |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.31 lbs) 288 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The projectors are considered as simple but important type of matrices and operators. Their basic theory can be found in many books, among which Hal- mas 177], 178] are of particular significance. The projectors or projections became an active research area in the last two decades due to ideas generated from linear algebra, statistics and various areas of algorithmic mathematics. There has also grown up a great and increasing number of projection meth- ods for different purposes. The aim of this book is to give a unified survey on projectors and projection methods including the most recent results. The words projector, projection and idempotent are used as synonyms, although the word projection is more common. We assume that the reader is familiar with linear algebra and mathemati- cal analysis at a bachelor level. The first chapter includes supplements from linear algebra and matrix analysis that are not incorporated in the standard courses. The second and the last chapter include the theory of projectors. Four chapters are devoted to projection methods for solving linear and non- linear systems of algebraic equations and convex optimization problems. |