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Volumn 35, Issue 2-4, 2004, Pages 301-314

L-curve and curvature bounds for Tikhonov regularization

Author keywords

Ill posed problem; L curve; Regularization

Indexed keywords


EID: 4043170560     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:NUMA.0000021764.16526.47     Document Type: Conference Paper
Times cited : (63)

References (12)
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    • Baart, M.L.1
  • 3
    • 0000924088 scopus 로고    scopus 로고
    • Estimation of the L-curve via Lanczos bidiagonalization
    • D. Calvetti, G.H. Golub and L. Reichel, Estimation of the L-curve via Lanczos bidiagonalization, BIT 39 (1999) 603-619.
    • (1999) BIT , vol.39 , pp. 603-619
    • Calvetti, D.1    Golub, G.H.2    Reichel, L.3
  • 4
    • 0037580308 scopus 로고    scopus 로고
    • L-curve curvature bounds via Lanczos bidiagonalization
    • Available at the Web site
    • D. Calvetti, P.C. Hansen and L. Reichel, L-curve curvature bounds via Lanczos bidiagonalization, Elec. Trans. Numer. Anal. 14 (2002) 20-35. Available at the Web site http://etna.mcs.kent.edu.
    • (2002) Elec. Trans. Numer. Anal. , vol.14 , pp. 20-35
    • Calvetti, D.1    Hansen, P.C.2    Reichel, L.3
  • 5
    • 0034323326 scopus 로고    scopus 로고
    • Tikhonov regularization and the L-curve for large, discrete ill-posed problems
    • D. Calvetti, S. Morigi, L. Reichel and F. Sgallari, Tikhonov regularization and the L-curve for large, discrete ill-posed problems, J. Comput. Appl. Math. 123 (2000) 423-446.
    • (2000) J. Comput. Appl. Math. , vol.123 , pp. 423-446
    • Calvetti, D.1    Morigi, S.2    Reichel, L.3    Sgallari, F.4
  • 6
    • 0034558885 scopus 로고    scopus 로고
    • An L-ribbon for large underdetermined linear discrete ill-posed problems
    • D. Calvetti, S. Morigi, L. Reichel and F. Sgallari, An L-ribbon for large underdetermined linear discrete ill-posed problems, Numer. Algorithms 25 (2000) 89-107.
    • (2000) Numer. Algorithms , vol.25 , pp. 89-107
    • Calvetti, D.1    Morigi, S.2    Reichel, L.3    Sgallari, F.4
  • 8
    • 0000565315 scopus 로고
    • Algorithms for the regularization of ill-conditioned least squares problems
    • L. Eldén, Algorithms for the regularization of ill-conditioned least squares problems, BIT 17 (1977) 134-145.
    • (1977) BIT , vol.17 , pp. 134-145
    • Eldén, L.1
  • 9
    • 13344267706 scopus 로고
    • Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
    • Software is available in Netlib at the Web site
    • P.C. Hansen, Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems, Numer. Algorithms 6 (1994) 1-35. Software is available in Netlib at the Web site http://www.netlib.org.
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 11
    • 0000236333 scopus 로고    scopus 로고
    • The L-curve and its use in the numerical treatment of inverse problems
    • ed. P. Johnston, Advances in Computational Bioengineering (WIT Press, Southampton)
    • P.C. Hansen, The L-curve and its use in the numerical treatment of inverse problems, in: Computational Inverse Problems in Electrocardiology, ed. P. Johnston, Advances in Computational Bioengineering, Vol. 4 (WIT Press, Southampton, 2000) pp. 119-142.
    • (2000) Computational Inverse Problems in Electrocardiology , vol.4 , pp. 119-142
    • Hansen, P.C.1
  • 12
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least squares
    • C.C. Paige and M.A. Saunders, LSQR: An algorithm for sparse linear equations and sparse least squares, ACM Trans. Math. Software 8 (1982) 43-71.
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.