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Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

New Results in Modern Theory of Inverse Problems and an Application in Laser Optics
BuchKartoniert, Paperback
182 Seiten
Englisch
Springererschienen am18.09.20181st ed. 2018
The book collects and contributes new results on the theory and practice of ill-posed inverse problems. The new methods are applied to a difficult inverse problem from laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view.mehr
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BuchKartoniert, Paperback
EUR58,84
E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextThe book collects and contributes new results on the theory and practice of ill-posed inverse problems. The new methods are applied to a difficult inverse problem from laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view.
Zusammenfassung
Presents recent research results in a consistent notation

Contributes to two very active fields of research

Shows that variational source condition always yields convergence rate results
Details
ISBN/GTIN978-3-319-95263-5
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2018
Erscheinungsdatum18.09.2018
Auflage1st ed. 2018
ReiheFrontiers in Mathematics
Seiten182 Seiten
SpracheEnglisch
Gewicht339 g
IllustrationenXI, 182 p. 35 illus.
Artikel-Nr.45413163

Inhalt/Kritik

Inhaltsverzeichnis
Inverse problems, ill-posedness, regularization.- Variational source conditions yield convergence rates.- Existence of variational source conditions.- What are quadratic inverse problems?.- Tikhonov regularization.- Regularization by decomposition.- Variational source conditions.- Aren´t all questions answered?.- Sparsity and 1-regularization.- Ill-posedness in the l1-setting.- Convergence rates.mehr
Kritik
"The book presents a nice summary of many interesting recent results on Tikhonov regularization for ill-posed and inverse problems ... . The book ... contains various interesting refinements and improvements. It is written in a very clear style, the material is well organized, and there is an extensive bibliography with useful comments on the most relevant literature. Hence, it is a very welcome addition to the modern standard references on ill-posed and inverse problems." (Bangti Jin, zbMATH 1530.65007, 2024)mehr

Schlagworte