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Volumn 22, Issue 3, 2006, Pages

The Lepskii principle revisited

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

EID: 33744504745     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/3/L02     Document Type: Article
Times cited : (82)

References (7)
  • 1
    • 28544447290 scopus 로고    scopus 로고
    • A Lepskij-type stopping rule for regularized Newton methods
    • 0266-5611 011
    • Bauer F and Hohage T 2005 A Lepskij-type stopping rule for regularized Newton methods Inverse Problems 21 1975-91
    • (2005) Inverse Problems , vol.21 , Issue.6 , pp. 1975-1991
    • Bauer, F.1    Hohage, T.2
  • 2
    • 0036045292 scopus 로고    scopus 로고
    • Oracle inequalities for inverse problems
    • 10.1214/aos/1028674843 0090-5364
    • Cavalier L, Golubev G K, Picard D and Tsybakov A B 2002 Oracle inequalities for inverse problems Ann. Stat. 30 843-74
    • (2002) Ann. Stat. , vol.30 , Issue.3 , pp. 843-874
    • Cavalier, L.1    Golubev, G.K.2    Picard, D.3    Tsybakov, A.B.4
  • 4
    • 0000012624 scopus 로고
    • A problem of adaptive estimation in Gaussian white noise
    • 0040-361X
    • Lepskii O V 1990 A problem of adaptive estimation in Gaussian white noise Teor. Veroyatn. Primen. 35 459-70
    • (1990) Teor. Veroyatn. Primen. , vol.35 , pp. 459-470
    • Lepskii, O.V.1
  • 5
    • 21244441586 scopus 로고    scopus 로고
    • Saturation of regularization methods for linear ill-posed problems in Hilbert spaces
    • 10.1137/S0036142903420947 0036-1429
    • Mathé P 2004 Saturation of regularization methods for linear ill-posed problems in Hilbert spaces SIAM J. Numer. Anal. 42 968-73
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.3 , pp. 968-973
    • Mathé, P.1
  • 6
    • 0038339461 scopus 로고    scopus 로고
    • Geometry of linear ill-posed problems in variable Hilbert scales
    • 0266-5611 319
    • Mathé P and Pereverzev S V 2003 Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 789-803
    • Mathé, P.1    Pereverzev, S.V.2
  • 7
    • 33744515791 scopus 로고    scopus 로고
    • Regularization of some linear ill-posed problems with discretized random noisy data
    • Mathé P and Pereverzev S V 2006 Regularization of some linear ill-posed problems with discretized random noisy data Math. Comput. at press
    • (2006) Math. Comput.
    • Mathé, P.1    Pereverzev, S.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.