Best Approximation in Inner Product Spaces

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Best Approximation in Inner Product Spaces

This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra. Throughout the book, examples and applications have been interspersed with the theory. Each chapter concludes with numerous exercises and a section in which the author puts the results of that chapter into a historical perspective. The book is based on lecture notes for a graduate course on best approximation which the author has taught for over 25 years.

Publish Date
Publisher
Springer New York
Language
English
Pages
338

Buy this book

Edition Availability
Cover of: Best Approximation in Inner Product Spaces
Best Approximation in Inner Product Spaces
Jan 31, 2014, Springer
paperback
Cover of: Best Approximation in Inner Product Spaces
Best Approximation in Inner Product Spaces
Dec 03, 2010, Springer New York
paperback
Cover of: Best Approximation in Inner Product Spaces
Best Approximation in Inner Product Spaces
April 20, 2001, Springer
in English
Cover of: Best Approximation in Inner Product Spaces
Best Approximation in Inner Product Spaces
2001, Springer New York
electronic resource / in English

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Book Details


Table of Contents

Inner Product Spaces
Best Approximation
Existence and Uniqueness of Best Approximations
Characterization of Best Approximations
The Metric Projection
Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-spaces
Error of Approximation
Generalized Solutions of Linear Equations
The Method of Alternating Projections
Constrained Interpolation from a Convex Set
Interpolation and Approximation
Convexity of Chebyshev Sets.

Edition Notes

Published in
New York, NY
Series
CMS Books in Mathematics / Ouvrages de mathématiques de la SMC, 1613-5237, CMS Books in Mathematics / Ouvrages de mathématiques de la SMC

Classifications

Library of Congress
QA299.6-433

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (XV, 338 pages 25 illustrations).
Number of pages
338

Edition Identifiers

Open Library
OL27020725M
ISBN 10
1468492985
ISBN 13
9781468492989
OCLC/WorldCat
840289957

Work Identifiers

Work ID
OL8058861W

Work Description

"This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book are some knowledge of advanced calculus and linear algebra. Throughout the book, examples and applications have been interspersed with the theory.

Each chapter concludes with numerous exercises and a section in which the author puts the results of that chapter into a historical perspective. The book is based on lecture notes for a graduate course on best approximation that the author has taught for over twenty-five years."--BOOK JACKET.

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2 days ago Edited by raybb merge authors
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November 13, 2023 Edited by MARC Bot import existing book
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December 10, 2009 Created by WorkBot add works page