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Type: Artigo de periódico
Title: Extension of GKB- FP algorithm to large- scale general- form Tikhonov regularization
Author: Bazan, FSV
Cunha, MCC
Borges, LS
Abstract: In a recent paper an algorithm for large-scale Tikhonov regularization in standard form called GKB-FP was proposed and numerically illustrated. In this paper, further insight into the convergence properties of this method is provided, and extensions to general-form Tikhonov regularization are introduced. In addition, as alternative to Tikhonov regularization, a preconditioned LSQR method coupled with an automatic stopping rule is proposed. Preconditioning seeks to incorporate smoothing properties of the regularization matrix into the computed solution. Numerical results are reported to illustrate the methods on large-scale problems. Copyright (c) 2013 John Wiley & Sons, Ltd.
Subject: Tikhonov regularization
large-scale problems
ill-posed problems
Country: EUA
Editor: Wiley-blackwell
Rights: fechado
Identifier DOI: 10.1002/nla.1874
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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