The Discrepancy Principle for Tikhonov Regularization in Banach Spaces: Regularization Properties and Rates of Convergence - Stephan W. Anzengruber - Books - Südwestdeutscher Verlag für Hochschulsch - 9783838131351 - April 3, 2012
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The Discrepancy Principle for Tikhonov Regularization in Banach Spaces: Regularization Properties and Rates of Convergence

Stephan W. Anzengruber

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The Discrepancy Principle for Tikhonov Regularization in Banach Spaces: Regularization Properties and Rates of Convergence

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.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released April 3, 2012
ISBN13 9783838131351
Publishers Südwestdeutscher Verlag für Hochschulsch
Pages 136
Dimensions 150 × 8 × 226 mm   ·   221 g
Language German