Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
Springer International Publishing (Verlag)
978-3-319-95263-5 (ISBN)
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.
"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)
Erscheinungsdatum | 20.09.2018 |
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Reihe/Serie | Frontiers in Mathematics |
Zusatzinfo | XI, 182 p. 35 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 168 x 240 mm |
Gewicht | 338 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | autoconvolution • Banach space • Convergence Rate • ill-posedness • inverse problem • Nonlinear inverse problem • quadratic inverse problem • source condition • sparsity • Tikhonov regularization • variational source condition |
ISBN-10 | 3-319-95263-3 / 3319952633 |
ISBN-13 | 978-3-319-95263-5 / 9783319952635 |
Zustand | Neuware |
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