A CONVERGENCE ANALYSIS OF REGULARIZATION BY DISCRETIZATION IN PREIMAGE SPACE

作者:Kaltenbacher Barbara*; Offtermatt Jonas
来源:Mathematics of Computation, 2012, 81(280): 2049-2069.
DOI:10.1090/S0025-5718-2012-02596-8

摘要

In this paper we investigate the regularizing properties of discretization in preimage space for linear and nonlinear ill-posed operator equations with noisy data. We propose to choose the discretization level, that acts as a regularization parameter in this context, by a discrepancy principle. While general convergence has been shown not to hold, we provide convergence results under appropriate conditions on the exact solution.

  • 出版日期2012-10