Regularization in Banach Spaces - Convergence Rates Theory (Paperback)

Language: English

Published by Logos Verlag Berlin GmbH, Berlin, 2010

3832527451 / 9783832527457

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Paperback. Motivated by their successful application in image restoring and sparsity reconstruction this manuscript deals with regularization theory of linear and nonlinear inverse and ill-posed problems in Banach space settings. Whereas regularization in Hilbert spaces has been widely studied in literature for a long period the developement and investigation of regularization methods in Banach spaces have become a field of modern research. The manuscript is twofolded. The first part deals with convergence rates theory for Tikhonov regularization as classical regularization method. In particular, generalizations of well-established results in Hilbert spaces are presented in the Banach space situation. Since the numerical effort of Tikhonov regularization in applications is rather high iterative approaches were considered as alternative regularization variants in the second part. In particular, two Gradient-type methods were presented and their behaviour concerning convergence and stability is investigated. For one of the methods, additionally, a convergence rates result is formulated. All the theoretical results are illustrated by some numerical examples. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Title
Regularization in Banach Spaces - Convergence Rates Theory (Paperback)
Author
Torsten Hein
Publisher
Logos Verlag Berlin GmbH, Berlin
Publication year
2010
Condition
new
Binding
Paperback
Language
English
ISBN 10
3832527451
ISBN 13
9783832527457

Grand Eagle Retail

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