Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Name: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
Brand: Birkhauser
SKU: 9783319952635
Price: 262.02 PLN
Availability: InStock

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

Autor: Jens Flemming

Język:

Oprawa: Miękka

Wydawca: Birkhauser

Dostępność: Dostępna u dostawcy w małych ilościach

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262.02 zł

The book collects and contributes new results on the theory and practice of ill-posed inverse proble...

Informacje o książce

Autor

Jens Flemming

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2018

strony

182

EAN

9783319952635

ISBN

3319952633

Enbook ID

19689658

Wydawca

Birkhauser

Waga

341

Wymiary

168 x 240 x 10

Pełny opis

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.

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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

Informacje o książce

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