Regularization Methods in Banach Spaces

By (author) Schuster, Thomas; By (author) Kaltenbacher, Barbara; By (author) Hofmann, Bernd; By (author) Kazimierski, Kamil S.

Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Usually the mathematical model of an inverse problem consists of an operator equation of the first kind and often the associated forward operator acts between Hilbert spaces. However, for numerous problems the reasons for using a Hilbert space setting seem to be based rather on conventions than on an approprimate and realistic model choice, so often a Banach space setting would be closer to reality. Furthermore, sparsity constraints using general Lp-norms or the BV-norm have recently become very popular. Meanwhile the most well-known methods have been investigated for linear and nonlinear operator equations in Banach spaces. Motivated by these facts the authors aim at collecting and publishing these results in a monograph.

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書名 Regularization Methods in Banach Spaces
著作者等 Hofmann, Bernd
Kaltenbacher, Barbara
Kazimierski, Kamil S.
Schuster, Thomas
シリーズ名 Radon Series on Computational and Applied Mathematics 10
出版元 Walter de Gruyter & Co.
刊行年月 2012.07.30
ページ数 294p
大きさ H240 x W170
ISBN 9783112204504
ISSN 18653707
言語 英語
出版国 ドイツ