The discrepancy principle for Tikhonov regularization in Banach spaces
Regularization properties and rates of convergence
Paperback
Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9783838131351
Veröffentl:
2012
Einband:
Paperback
Erscheinungsdatum:
03.04.2012
Seiten:
136
Autor:
Stephan W. Anzengruber
Gewicht:
221 g
Format:
220x150x9 mm
Sprache:
Englisch
Beschreibung:
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.