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Volumn 51, Issue 1, 2011, Pages 197-215

Fractional Tikhonov regularization for linear discrete ill-posed problems

Author keywords

Discrepancy principle; Filter function; Fractional Tikhonov; Ill posed problem; Regularization; Solution norm constraint; Weighted residual norm

Indexed keywords


EID: 79953026761     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-011-0313-9     Document Type: Article
Times cited : (86)

References (10)
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    • Calvetti, D.1    Reichel, L.2
  • 3
    • 14544268237 scopus 로고    scopus 로고
    • Tikhonov regularization with a solution constraint
    • Calvetti, D., Reichel, L.: Tikhonov regularization with a solution constraint. SIAM J. Sci. Comput. 26, 224-239 (2004).
    • (2004) SIAM J. Sci. Comput. , vol.26 , pp. 224-239
    • Calvetti, D.1    Reichel, L.2
  • 4
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    • Golub, G. H., van Loan, C. F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996).
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    • Golub, G.H.1    van Loan, C.F.2
  • 6
    • 36448976249 scopus 로고    scopus 로고
    • Regularization tools version 4.0 for Matlab 7.3
    • Hansen, P. C.: Regularization tools version 4. 0 for Matlab 7. 3. Numer. Algorithms 46, 189-194 (2007).
    • (2007) Numer. Algorithms , vol.46 , pp. 189-194
    • Hansen, P.C.1
  • 7
    • 42549107286 scopus 로고    scopus 로고
    • Regularization by fractional filter methods and data smoothing
    • 025018
    • Klann, E., Ramlau, R.: Regularization by fractional filter methods and data smoothing. Inverse Probl. 24, 025018 (2008).
    • (2008) Inverse Probl. , vol.24
    • Klann, E.1    Ramlau, R.2
  • 10
    • 0036445949 scopus 로고    scopus 로고
    • A trust-region approach to regularization of large-scale discrete forms of ill-posed problems
    • Rojas, M., Sorensen, D. C.: A trust-region approach to regularization of large-scale discrete forms of ill-posed problems. SIAM J. Sci. Comput. 23, 1842-1860 (2002).
    • (2002) SIAM J. Sci. Comput. , vol.23 , pp. 1842-1860
    • Rojas, M.1    Sorensen, D.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.