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Regularization methods in Banach spaces

Author: Thomas Schuster
Publisher: Berlin ; Boston : De Gruyter, ©2012.
Series: Radon series on computational and applied mathematics, 10.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 2012013065
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Schuster
ISBN: 9783110255720 3110255723 9783112204504 3112204506 1283627922 9781283627924
OCLC Number: 812251485
Description: 1 online resource (xi, 283 pages) : illustrations.
Contents: Why to use Banach spaces in regularization theory? --
Geometry and mathematical tools of Banach spaces --
Tikhonov-type regularization --
Iterative regularization --
The method of approximate inverse.
Series Title: Radon series on computational and applied mathematics, 10.
Responsibility: by Thomas Schuster [and others].
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Abstract:

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  Read more...

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