On a generalization of Regińska's parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization

DOI10.1016/j.amc.2012.08.054zbMath1293.65061OpenAlexW2127681504MaRDI QIDQ2250235

Juliano B. Francisco, Leonardo S. Borges, Fermin S. Viloche Bazán

Publication date: 4 July 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.054

zbMATH Keywords

algorithmnumerical examplesdiscrepancy principleKrylov subspaceGolub-Kahan bidiagonalizationmulti-parameter Tikhonov regularizationparameter choice ruleslarge-scale discrete ill-posed problems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items (3)

Regularization method for an ill-posed Cauchy problem for elliptic equations ⋮ Learning regularization parameters for general-form Tikhonov ⋮ Hybrid projection methods for large-scale inverse problems with mixed Gaussian priors

Uses Software

• LSQR
• Regularization tools
• GKB-FP
• CRAIG

Cites Work

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