Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Name: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
Brand: Birkhauser
SKU: 9783319952635
Price: 22229 HUF
Availability: InStock

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

Szerző: Jens Flemming

Nyelv:

Kötés: Puha kötésű

Kiadó: Birkhauser

Elérhetőség: Beszállítói készleten alacsony példányszámban

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

Információk a könyvről

Szerző

Jens Flemming

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2018

oldal

182

EAN

9783319952635

ISBN

3319952633

Enbook ID

19689658

Kiadó

Birkhauser

Súly

341

Méretek

168 x 240 x 10

Teljes leírás

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

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták