Multi-parameter Arnoldi-Tikhonov methods

Silvia Gazzola, Paolo Novati

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)452-475
Number of pages24
JournalElectronic Transactions on Numerical Analysis
Volume40
Publication statusPublished - 2013

Keywords

  • Arnoldi-Tikhonov method
  • Discrepancy principle
  • Multi-parameter regularization

ASJC Scopus subject areas

  • Analysis

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