Global ETD Search

1	Modified iterative Runge-Kutta-type methods for nonlinear ill-posed problems Pornsawad, Pornsarp, Böckmann, Christine January 2014 (has links) This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under Hölder-type source-wise condition if the Fréchet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt and Radau methods. ill-posed problems Runge-Kutta methods regularization methods Hölder-type source condition stopping rules Mathematics
2	Partial Least Squares for Serially Dependent Data Singer, Marco 04 August 2016 (has links) No description available. 510 Mathematik (PPN61756535X)
3	Generalized Tikhonov regularization Flemming, Jens 01 November 2011 (has links) (PDF) The dissertation suggests a generalized version of Tikhonov regularization and analyzes its properties. The focus is on convergence rates theory and an extensive example for regularization with Poisson distributed data is given. Tikhonov-Regularisierung Konvergenzraten Poisson-Daten Quellbedingung Tikhonov regularization convergence rates Poisson data source condition variational inequality ddc:510 Tichonov-Regularisierung Variationsungleichung
4	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
5	Generalized Tikhonov regularization: Basic theory and comprehensive results on convergence rates Flemming, Jens 27 October 2011 (has links) The dissertation suggests a generalized version of Tikhonov regularization and analyzes its properties. The focus is on convergence rates theory and an extensive example for regularization with Poisson distributed data is given. info:eu-repo/classification/ddc/510 ddc:510
6	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

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