Regularization parameter estimation for underdetermined problems by the χ 2 principle with application to 2D focusing gravity inversion

DOI10.1088/0266-5611/30/8/085002zbMath1300.65019arXiv1402.3365OpenAlexW3103981858MaRDI QIDQ3188788

Vahid E. Ardestani, Saeed Vatankhah, Rosemary A. Renaut

Publication date: 2 September 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3365

zbMATH Keywords

algorithmregularizationsingular value decompositionleast squares problemTikhonov functionalgeneralized cross validationregularization parameternumerical testMorozov discrepancy principlegravity inversionunbiased predictive risk estimator\(\chi^2\) principleminimum support stabilizerNewton root-finding algorithm

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical methods for inverse problems for integral equations (65R32)

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