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1	Quadratic Inverse Problems and Sparsity Promoting Regularization Flemming, Jens 16 January 2018 (has links) (PDF) 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. schlechtgestellt inverses Problem Regularisierung quadratisch variationelle Quellbedingung Dünnbesetztheit ill-posed inverse problem quadratic variational source condition regularization sparsity ddc:518 Inverses Problem Regularisierung
2	Quadratic Inverse Problems and Sparsity Promoting Regularization: Two subjects, some links between them, and an application in laser optics Flemming, Jens 11 January 2018 (has links) 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. info:eu-repo/classification/ddc/518 ddc:518 Inverses Problem; Regularisierung