For the solution of linear ill-posed problems, in this paper we introduce a simple algorithm for the choice of the regularization parameters when performing multi-parameter Tikhonov regularization through an iterative scheme. More specifically, the new technique is based on the use of the Arnoldi-Tikhonov method and the discrepancy principle. Numerical experiments arising from the discretization of integral equations are presented.
|Number of pages||24|
|Journal||Electronic Transactions on Numerical Analysis|
|Publication status||Published - 2013|
- Arnoldi-Tikhonov method
- Discrepancy principle
- Multi-parameter regularization
ASJC Scopus subject areas