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Volumn 24, Issue 3, 2008, Pages

Fixed-point iterations in determining the Tikhonov regularization parameter

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 44449155210     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/3/035001     Document Type: Article
Times cited : (51)

References (17)
  • 1
    • 0036684726 scopus 로고    scopus 로고
    • Efficient determination of multiple regularization parameters in a generalized L-curve framework
    • Belge M, Kilmer M E and Miller E L 2002 Efficient determination of multiple regularization parameters in a generalized L-curve framework Inverse Problems 18 1161-83
    • (2002) Inverse Problems , vol.18 , Issue.4 , pp. 1161-1183
    • Belge, M.1    Kilmer, M.E.2    Miller, E.L.3
  • 2
    • 84907101316 scopus 로고
    • Using the L-curve for determining optimal regularization parameters
    • Engl H W and Grever W 1994 Using the L-curve for determining optimal regularization parameters Num. Math. 69 25-31
    • (1994) Num. Math. , vol.69 , Issue.1 , pp. 25-31
    • Engl, H.W.1    Grever, W.2
  • 3
    • 33745766913 scopus 로고    scopus 로고
    • On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data
    • Hämarik U and Raus T 2006 On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data J. Inverse Ill-Posed Problems 14 251-66
    • (2006) J. Inverse Ill-Posed Problems , vol.14 , Issue.3 , pp. 251-266
    • Hämarik, U.1    Raus, T.2
  • 5
    • 1542498779 scopus 로고    scopus 로고
    • Limitations of the L-curve method in ill-posed problems
    • Hanke M 1996 Limitations of the L-curve method in ill-posed problems BIT 36 287-301
    • (1996) BIT , vol.36 , Issue.2 , pp. 287-301
    • Hanke, M.1
  • 6
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke M and Hansen P C 1993 Regularization methods for large-scale problems Surv. Math. Ind. 3 253-315
    • (1993) Surv. Math. Ind. , vol.3 , Issue.4 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 7
    • 0000236333 scopus 로고    scopus 로고
    • The L-curve and its use in he numerical treatment of inverse problems
    • Hansen P C 2001 The L-curve and its use in he numerical treatment of inverse problems Computational Inverse Problems in Electrocardiology ed P Johnston (Southampton: WIT Press) pp 119-42 (invited chapter)
    • (2001) Computational Inverse Problems in Electrocardiology , pp. 119-142
    • Hansen, P.C.1
  • 9
    • 13344267706 scopus 로고
    • Regularization tools: A MATLAB package for analysis and solution of discrete ill-posed problems
    • Hansen P C 1994 Regularization tools: a MATLAB package for analysis and solution of discrete ill-posed problems Numer. Algorithms 6 1-35
    • (1994) Numer. Algorithms , vol.6 , Issue.1 , pp. 1-35
    • Hansen, P.C.1
  • 10
    • 0037246540 scopus 로고    scopus 로고
    • An analysis of the zero-crossing method for choosing regularization parameter
    • Johnston P R and Gulrajani R M 2002 An analysis of the zero-crossing method for choosing regularization parameter SIAM J. Sci. Comput. 24 428-42
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.2 , pp. 428-442
    • Johnston, P.R.1    Gulrajani, R.M.2
  • 11
    • 34547502627 scopus 로고    scopus 로고
    • Regularization parameter selection in discrete-ill posed problems-the use of the U-curve
    • Krawczy-Stando D and Rudnicki M 2007 Regularization parameter selection in discrete-ill posed problems-the use of the U-curve Int. J. Appl. Math. Comput. Sci. 17 157-64
    • (2007) Int. J. Appl. Math. Comput. Sci. , vol.17 , Issue.2 , pp. 157-164
    • Krawczy-Stando, D.1    Rudnicki, M.2
  • 12
    • 0035537408 scopus 로고    scopus 로고
    • Choosing regularization parameters in iterative methods for ill-posed problems
    • Kilmer M E and O'Leary D P 2001 Choosing regularization parameters in iterative methods for ill-posed problems SIAM J. Matrix Anal. Appl. 22 1204-21
    • (2001) SIAM J. Matrix Anal. Appl. , vol.22 , Issue.4 , pp. 1204-1221
    • Kilmer, M.E.1    O'Leary, D.P.2
  • 13
    • 0002902522 scopus 로고
    • Least squares methods for ill-posed problems with a prescribed bound
    • Miller K 1970 Least squares methods for ill-posed problems with a prescribed bound SIAM J. Math. Anal. 1 52-74
    • (1970) SIAM J. Math. Anal. , vol.1 , Issue.1 , pp. 52-74
    • Miller, K.1
  • 14
    • 85032751363 scopus 로고    scopus 로고
    • Super-resolution image reconstruction: A technical overview
    • Park S C, Park M K and Kang M G 2003 Super-resolution image reconstruction: a technical overview IEEE Signal Process. Mag. 20 21-36
    • (2003) IEEE Signal Process. Mag. , vol.20 , Issue.3 , pp. 21-36
    • Park, S.C.1    Park, M.K.2    Kang, M.G.3
  • 15
    • 0000169154 scopus 로고    scopus 로고
    • A regularization parameter in discrete ill-posed problems
    • Regińska T 1996 A regularization parameter in discrete ill-posed problems SIAM J. Sci. Comput. 3 740-9
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.3 , pp. 740-749
    • Regińska, T.1
  • 16
    • 0001041472 scopus 로고    scopus 로고
    • Non-convergence of the L-curve regularization parameter selection method
    • Vogel C R 1996 Non-convergence of the L-curve regularization parameter selection method Inverse Problems 12 535-47
    • (1996) Inverse Problems , vol.12 , Issue.4 , pp. 535-547
    • Vogel, C.R.1
  • 17
    • 0001300994 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method
    • Tikhonov A N 1963 Solution of incorrectly formulated problems and the regularization method Sov. Math.-Dokl. 4 1035-8
    • (1963) Sov. Math.-Dokl. , vol.4 , pp. 1035-1038
    • Tikhonov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.