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Quadratic Inverse Problems and Sparsity Promoting Regularization

Ill-posed inverse problems with quadratic structure are introduced, studied and solved. As an example an inverse problem appearing in laser optics is solved numerically based on a new regularized inversion algorithm. In addition, the theory of sparsity promoting regularization is extended to situations in which sparsity cannot be expected and also to equations with non-injective operators.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:ch1-qucosa-232402
Date16 January 2018
CreatorsFlemming, Jens
ContributorsTU Chemnitz, Fakultät für Mathematik, Prof. Dr. Bernd Hofmann, Prof. Dr. Dirk Lorenz, Prof. Dr. Otmar Scherzer
PublisherUniversitätsbibliothek Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf, text/plain, application/zip

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