Advances in Mathematics

Projectors and Projection Methods

Authors: Galántai, Aurél

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About this book

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.

Reviews

From the reviews:

"The author presents an excellent unified survey of projectors and projection methods, including the most recent results. … There is an extensive bibliography. This book fills a much needed of an excellent survey of old and new results in the area." (R. P. Tewarson, Zentralblatt MATH, Vol. 1055 (6), 2005)


Table of contents (7 chapters)

  • Supplements for Linear Algebra

    Galántai, Aurél

    Pages 1-36

  • Projections

    Galántai, Aurél

    Pages 37-82

  • Finite Projection Methods for Linear Systems

    Galántai, Aurél

    Pages 83-115

  • Iterative Projection Methods for Linear Algebraic Systems

    Galántai, Aurél

    Pages 117-153

  • Projection Methods for Nonlinear Algebraic Equations

    Galántai, Aurél

    Pages 155-180

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-1-4419-9180-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $239.00
price for USA
  • ISBN 978-1-4020-7572-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $239.00
price for USA
  • ISBN 978-1-4613-4825-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Projectors and Projection Methods
Authors
Series Title
Advances in Mathematics
Series Volume
6
Copyright
2004
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4419-9180-5
DOI
10.1007/978-1-4419-9180-5
Hardcover ISBN
978-1-4020-7572-8
Softcover ISBN
978-1-4613-4825-2
Edition Number
1
Number of Pages
X, 288
Topics