Téléchargez le livre : Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

New Results in Modern Theory of Inverse Problems and an Application in Laser Optics de

Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2018-09-08

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Description

The book collects and contributes new results on the theory and practice of ill-posed inverse problems. 
Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined.
Tools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. 
A theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. 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. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.
Pages
182 pages
Collection
Frontiers in Mathematics
Parution
2018-09-08
Marque
Birkhäuser
EAN papier
9783319952635
EAN PDF
9783319952642
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
3901 Ko
Prix
58,01 €
EAN EPUB
9783319952642
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
13957 Ko
Prix
58,01 €

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