Volume 40, pp. 452-475, 2013.

Multi-parameter Arnoldi-Tikhonov methods

Silvia Gazzola and Paolo Novati

Abstract

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.

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Key words

multi-parameter regularization, Arnoldi-Tikhonov method, discrepancy principle

AMS subject classifications

65F10, 65F22

ETNA articles which cite this article

Vol. 44 (2015), pp. 83-123 Silvia Gazzola, Paolo Novati, and Maria Rosaria Russo: On Krylov projection methods and Tikhonov regularization

Vol. 58 (2023), pp. 486-516 Mirjeta Pasha, Arvind K. Saibaba, Silvia Gazzola, Malena I. Español, and Eric de Sturler: A computational framework for edge-preserving regularization in dynamic inverse problems

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