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

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:ch1-qucosa-232402
2. https://monarch.qucosa.de/id/qucosa%3A20855
3. https://monarch.qucosa.de/api/qucosa%3A20855/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A20855/attachment/ATT-1/

Tags

info:eu-repo/classification/ddc/518

ddc:518

Inverses Problem; Regularisierung

Additional Fields

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