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Quadratic Inverse Problems and Sparsity Promoting Regularization: Two subjects, some links between them, and an application in laser optics

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:qucosa:20855
Date11 January 2018
CreatorsFlemming, Jens
ContributorsHofmann, Bernd, Lorenz, Dirk, Scherzer, Otmar, Technische Universität Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess

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