WIAS Preprint No. 1474, (2009)

Parameter choice methods using minimization schemes



Authors

  • Bauer, Frank
  • Mathé, Peter
    ORCID: 0000-0002-1208-1421

2010 Mathematics Subject Classification

  • 65J22 65F22 62H12

Keywords

  • Inverse Problems, Heuristic parameter choice, Minimization schemes

Abstract

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.

Appeared in

  • J. Complexity, 27 (2011) pp. 68--85.

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