Projectors and Projection Methods

By:

Aurel Galantai

Format:

Paperback / softback

Series:

Advances in Mathematics

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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.

Release date Australia

January 28th, 2014

Author

Aurel Galantai

Audience

Professional & Vocational

Illustrations

X, 288 p.

Pages

288

Series

Advances in Mathematics

Dimensions

155x235x16

ISBN-13

9781461348252

Product ID

22668967

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