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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

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.
2

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.
3

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.
4

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.

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