Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Name: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
Brand: Birkhauser
SKU: 9783319952635
Price: 58.1 EUR
Availability: InStock

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

Автор: Jens Flemming

Език:

Корици: С меки корици

Издател: Birkhauser

Наличност: Външен склад

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58.10 € 113.64 лв

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

Информация за книгата

Автор

Jens Flemming

Език

Английски език

Корици

Книга - С меки корици

Издадена

2018

страници

182

EAN

9783319952635

ISBN

3319952633

Enbook ID

19689658

Издател

Birkhauser

Теглоt

341

Размери

168 x 240 x 10

Пълно описание

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

Информация за книгата

Пълно описание

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Клиенти, които купиха тази книга, купиха също