Parameter choice methods using minimization schemes
- Bauer, Frank
- Mathé, Peter
2010 Mathematics Subject Classification
- 65J22 65F22 62H12
- Inverse Problems, Heuristic parameter choice, Minimization schemes
In this paper we establish a generalized framework, which allows to prove convergenence and optimality of parameter choice schemes for inverse problems based on minimization in a generic way. We show that the well known quasi-optimality criterion falls in this class. Furthermore we present a new parameter choice method and prove its convergence by using this newly established tool.
- J. Complexity, 27 (2011) pp. 68--85.