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Volumn 12, Issue 4, 1996, Pages 535-547

Non-convergence of the L-curve regularization parameter selection method

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EID: 0001041472     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/4/013     Document Type: Article
Times cited : (245)

References (16)
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    • Engl, H.W.1    Grever, W.2
  • 2
    • 49849114033 scopus 로고
    • Well-posed extensions of ill-posed linear problems
    • Franklin J N 1970 Well-posed extensions of ill-posed linear problems J. Math. Anal. Appl. 31 682-716
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    • Franklin, J.N.1
  • 5
    • 84966255914 scopus 로고
    • Asympatotic theory of filtering for linear operator equations with discrete noisy data
    • Groetsch C W and Vogel C R 1987 Asympatotic theory of filtering for linear operator equations with discrete noisy data Math. Comput. 49 499-506
    • (1987) Math. Comput. , vol.49 , pp. 499-506
    • Groetsch, C.W.1    Vogel, C.R.2
  • 7
    • 0001273835 scopus 로고
    • Regualarization methods for large-scale problems
    • Hanke M and Hasen P C 1993 Regualarization methods for large-scale problems Surveys Math. Ind. 3 253-315
    • (1993) Surveys Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hasen, P.C.2
  • 8
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • Hansen P C 1992 Analysis of discrete ill-posed problems by means of the L-curve SIAM Rev. 34 561-80
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 9
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete ill-posed problems
    • Hansen P C and O'Leary D P 1993 The use of the L-curve in the regularization of discrete ill-posed problems SIAM J. Sci. Comput. 14 1487-503
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 10
    • 10444254723 scopus 로고    scopus 로고
    • MATLAB, The MathWorks, Inc. Cochituate Place, 24 Prime Park Way, South Natick, MA 01760
    • MATLAB, The MathWorks, Inc. Cochituate Place, 24 Prime Park Way, South Natick, MA 01760
  • 11
    • 0346026553 scopus 로고
    • The error principal in the solution of operator equations by the regularization method
    • Morozov V A 1968 The error principal in the solution of operator equations by the regularization method USSR Comput. Math. and Math. Phys. 8 63-87
    • (1968) USSR Comput. Math. and Math. Phys. , vol.8 , pp. 63-87
    • Morozov, V.A.1
  • 12
    • 84968487240 scopus 로고
    • Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind
    • Nashad N Z and Wahba G 1974 Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind Math. Comput. 28 69-80
    • (1974) Math. Comput. , vol.28 , pp. 69-80
    • Nashad, N.Z.1    Wahba, G.2
  • 13
    • 0000169154 scopus 로고    scopus 로고
    • A regularization parameter in the discrete ill-posed problems
    • to appear
    • Reginska T 1996 A regularization parameter in the discrete ill-posed problems SIAM J. Sci. Comput. to appear
    • (1996) SIAM J. Sci. Comput.
    • Reginska, T.1
  • 14
    • 0022662417 scopus 로고
    • Optimal choice of a truncation level for the Truncated SVD solution of linear first kind integral equations when the data are noisy
    • Vogel C R 1986 Optimal choice of a truncation level for the Truncated SVD solution of linear first kind integral equations when the data are noisy SIAM J. Numer. Anal. 23 109-17
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 109-117
    • Vogel, C.R.1
  • 15
    • 0000544453 scopus 로고
    • Practical approximate solutions to linear operator equations when the data are noisy
    • Wahba G 1977 Practical approximate solutions to linear operator equations when the data are noisy SIAM J. Numer. Anal. 14 651-67
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 651-667
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.