Variational Theory of Splines

By: Anatolii Iu Bezhaev, Vladimir A. Vasilenko, V. A. Vasilenko

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Hardcover | 31 August 2001

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Hardcover
308 Pages

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25.4 x 17.78 x 1.91

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Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t s pace , - i st ence , uniquen e s s , and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t t ei a , P . J . Laur en t , a n d P . M. An selon e , bu t in r e cent y e a r s important n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y .

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Calculus Mathematical Foundation Computing & I.T.Computer Science Optimisation Linear Programming Algebra Functional Analysis & Transforms Computer Programming & Software Development

Algorithms & Data Structures Numerical Analysis

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Paperback

Published: 1st December 2010

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Preface
Introduction: A Guide to the Reader
Splines in Hilbert Spaces	p. 1
Reproducing Mappings and Characterization of Splines	p. 23
General Convergence Techniques and Error Estimates for Interpolating Splines	p. 53
Splines in Subspaces	p. 69
Interpolating D[superscript M]-Splines	p. 97
Splines on Manifolds	p. 135
Vector Splines	p. 157
Tensor and Blending Splines	p. 175
Optimal Approximation of Linear Operators	p. 195
Classification of Spline Objects	p. 215
[Sigma][Pi]-Approximations and Data Compression	p. 229
Algorithms for Optimal Smoothing Parameter	p. 243
Appendices	p. 263
Bibliography	p. 269
Table of Contents provided by Blackwell. All Rights Reserved.

Variational Theory of Splines

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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