메뉴 건너뛰기




Volumn 36, Issue 2, 1996, Pages 287-301

Limitations of the L-curve method in ill-posed problems

Author keywords

L curve method; Regularization parameter; Tikhonov regularization

Indexed keywords


EID: 1542498779     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01731984     Document Type: Article
Times cited : (181)

References (17)
  • 1
    • 0013178793 scopus 로고
    • Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion
    • A. B. Bakushinskii, Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion, USSR Comput. Math. and Math. Phys., 24:4 (1984), pp. 181-182.
    • (1984) USSR Comput. Math. and Math. Phys. , vol.24 , Issue.4 , pp. 181-182
    • Bakushinskii, A.B.1
  • 2
    • 38249009654 scopus 로고
    • Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization
    • J. P. Boyd, Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization, Appl. Math. Lett., 5 (1992), pp. 57-59.
    • (1992) Appl. Math. Lett. , vol.5 , pp. 57-59
    • Boyd, J.P.1
  • 3
    • 0028741005 scopus 로고
    • Overcoming Hölder continuity in ill-posed continuation problems
    • A. S. Carasso, Overcoming Hölder continuity in ill-posed continuation problems, SIAM J. Numer. Anal., 31 (1994), pp. 1535-1557.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1535-1557
    • Carasso, A.S.1
  • 4
    • 0005362591 scopus 로고
    • Numerical solution of the sideways heat equation
    • H. W. Engl and W. Rundell, eds., SIAM
    • L. Eldén, Numerical solution of the sideways heat equation. In Inverse Problems in Diffusion Processes, H. W. Engl and W. Rundell, eds., SIAM, 1995, pp. 130-150.
    • (1995) Inverse Problems in Diffusion Processes , pp. 130-150
    • Eldén, L.1
  • 5
    • 84907101316 scopus 로고
    • Using the L-curve for determining optimal regularization parameters
    • H. W. Engl and W. Grever, Using the L-curve for determining optimal regularization parameters, Numer. Math., 69 (1994), pp. 25-31.
    • (1994) Numer. Math. , vol.69 , pp. 25-31
    • Engl, H.W.1    Grever, W.2
  • 6
    • 0011668844 scopus 로고
    • A study of regularization by monotonicity
    • C. Gellrich and B. Hofmann, A study of regularization by monotonicity, Computing, 50 (1993), pp. 105-125.
    • (1993) Computing , vol.50 , pp. 105-125
    • Gellrich, C.1    Hofmann, B.2
  • 8
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • M. Hanke and P. C. Hansen, Regularization methods for large-scale problems, Surveys Math. Indust., 3 (1993), pp. 253-315.
    • (1993) Surveys Math. Indust. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 9
    • 85033758019 scopus 로고    scopus 로고
    • Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
    • to appear
    • M. Hanke and J. G. Nagy, Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques, to appear in Inverse Problems.
    • Inverse Problems
    • Hanke, M.1    Nagy, J.G.2
  • 10
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • P. C. Hansen, Analysis of discrete ill-posed problems by means of the L-curve, SIAM Rev., 34 (1992), pp. 561-580.
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 11
    • 13344267706 scopus 로고
    • Regularization Tools: A MATLAB package for analysis and solution of discrete ill-posed problems
    • P. C. Hansen, REGULARIZATION TOOLS: A MATLAB package for analysis and solution of discrete ill-posed problems, Numer. Algorithms, 6 (1994), pp. 1-35.
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 12
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete ill-posed problems
    • P. C. Hansen and D. P. O'Leary, The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Comput., 14 (1993), pp. 1487-1503.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 13
    • 0001461578 scopus 로고
    • Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography
    • S. F. McCormick and J. G. Wade, Multigrid solution of a linearized, regularized least-squares problem in electrical impedance tomography, Inverse Problems, 9 (1993), pp. 697-713.
    • (1993) Inverse Problems , vol.9 , pp. 697-713
    • McCormick, S.F.1    Wade, J.G.2
  • 14
    • 0000169154 scopus 로고    scopus 로고
    • A regularization parameter in discrete ill-posed problems
    • to appear
    • T. Regińska, A regularization parameter in discrete ill-posed problems, SIAM J. Sci. Comput., (1996), to appear.
    • (1996) SIAM J. Sci. Comput.
    • Regińska, T.1
  • 15
    • 1542673740 scopus 로고
    • Sinc-Galerkin estimation of diffusivity in parabolic problems
    • R. C. Smith and K. L. Bowers, Sinc-Galerkin estimation of diffusivity in parabolic problems, Inverse Problems, 9 (1993), pp. 113-135.
    • (1993) Inverse Problems , vol.9 , pp. 113-135
    • Smith, R.C.1    Bowers, K.L.2
  • 16
    • 85033739150 scopus 로고
    • Non-convergence of the L-curve regularization parameter selection method
    • manuscript, Bozeman, Revised version to appear
    • C. R. Vogel, Non-convergence of the L-curve regularization parameter selection method, manuscript, Bozeman, 1994. Revised version to appear in Inverse Problems.
    • (1994) Inverse Problems
    • Vogel, C.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.