Regularization in Banach Spaces Convergence Rates Theory is popular PDF and ePub book, written by Torsten Hein in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Regularization in Banach Spaces Convergence Rates Theory can be Read Online from any device for your convenience.
Regularization in Banach Spaces Convergence Rates Theory Book PDF Summary
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.
Detail Book of Regularization in Banach Spaces Convergence Rates Theory PDF
- Author : Torsten Hein
- Release : 01 October 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832527457
- Genre : Mathematics
- Total Page : 174 pages
- Language : English
- PDF File Size : 18,9 Mb
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