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.
Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:20855 |
Date | 11 January 2018 |
Creators | Flemming, Jens |
Contributors | Hofmann, Bernd, Lorenz, Dirk, Scherzer, Otmar, Technische Universität Chemnitz |
Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
Language | English |
Detected Language | English |
Type | doc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text |
Rights | info:eu-repo/semantics/openAccess |
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