Bookcover of The discrepancy principle for Tikhonov regularization in Banach spaces
Booktitle:

The discrepancy principle for Tikhonov regularization in Banach spaces

Regularization properties and rates of convergence

Südwestdeutscher Verlag für Hochschulschriften (2012-04-03 )

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ISBN-13:

978-3-8381-3135-1

ISBN-10:
3838131355
EAN:
9783838131351
Book language:
English
Blurb/Shorttext:
This book is about inverse problems. A classical example of such an inverse problem is computerized tomography (CT), where one attempts to recover an image of, say, the human brain from measured x-ray intensities. Such measurements will in general be noisy, but even very little noise can have a severe impact on the quality of the reconstructed images. To overcome these difficulties regularization methods have been developed, which stabilize the reconstruction process. We study here one such method, known as Tikhonov-regularization, and prove general regularizing properties as well as rates on the speed of the convergence.
Publishing house:
Südwestdeutscher Verlag für Hochschulschriften
Website:
https://www.svh-verlag.de
By (author) :
Stephan W. Anzengruber
Number of pages:
136
Published at:
2012-04-03
Stock:
Available
Category:
Mathematics
Price:
69.90 €
Keywords:
Inverse problems, variational inequalities, Morozov, Regularization Tikhonov, Parameter choice rule, Discrepancy Principle, Convergence Rates

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