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portada Aspects of Regularization in Banach Spaces
Type
Physical Book
Publisher
Language
English
Pages
148
Format
Paperback
ISBN13
9783832527310

Aspects of Regularization in Banach Spaces

Kamil S Kazimierski (Author) · Logos Verlag · Paperback

Aspects of Regularization in Banach Spaces - Kamil S Kazimierski

New Book Imported to Taiwan
Delivery: 29 Oct - 09 Nov Shipping: 13 to 15 business days.
NT$ 2,510
NT$ 2,510

Synopsis "Aspects of Regularization in Banach Spaces"

In recent years there has been an increasing interest in the regularization of ill-posed inverse problems for operators mapping between two Banach spaces. This thesis focuses on the case of linear, continuous operators and Banach spaces, which are convex of power type and/or smooth of power type. The main aim is to present new results regarding the Tikhonov regularization and the Landweber regularization, some of which are: convexity and smoothness properties of the wavelet characterization of the norm of Besov spaces, generalization of the discrepancy principle of Engl to the setting of Banach spaces, convergence rates for two minimization methods for the Tikhonov functional, adaptation of the Landweber iteration to Banach spaces convex of power type and smooth of power type and introduction of a modified version of the Landweber iteration. The quality of the algorithms introduced in this thesis is discussed with help of several numerical examples.

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