메뉴 건너뛰기




Volumn 231, Issue 2, 2009, Pages 914-924

A new variant of L-curve for Tikhonov regularization

Author keywords

L curve; Residual L curve; Tikhonov regularization

Indexed keywords

ILL POSED PROBLEM; L-CURVE; NUMERICAL EFFICIENCY; REGULARIZATION PARAMETERS; RESIDUAL L-CURVE; TEST PROBLEM; TIKHONOV REGULARIZATION;

EID: 67949118780     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.05.016     Document Type: Article
Times cited : (79)

References (16)
  • 2
    • 0003689754 scopus 로고
    • Inverse problems in methematical sciences
    • Wiesbadenm, Germany
    • Groetsch C.W. Inverse problems in methematical sciences. Viewing (1993), Wiesbadenm, Germany
    • (1993) Viewing
    • Groetsch, C.W.1
  • 5
    • 0000236333 scopus 로고    scopus 로고
    • The L-curve and its use in the numerical treatment of inverse problems, invited chapter
    • Johnston P. (Ed), WIT Press, Southampton
    • Hansen P.H. The L-curve and its use in the numerical treatment of inverse problems, invited chapter. In: Johnston P. (Ed). Computational Inverse Problems in Electrocardiology (2001), WIT Press, Southampton 119-142
    • (2001) Computational Inverse Problems in Electrocardiology , pp. 119-142
    • Hansen, P.H.1
  • 6
    • 0013178793 scopus 로고
    • Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion
    • Bakushinskii A.B. Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion. USSR Comput. Math. Phys. 24 4 (1984) 181-182
    • (1984) USSR Comput. Math. Phys. , vol.24 , Issue.4 , pp. 181-182
    • Bakushinskii, A.B.1
  • 7
    • 0000924088 scopus 로고    scopus 로고
    • Estimation of the L-curve via Lanczos bidiagonalization
    • Calvetti D., Golub G., and Reichel L. 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.2    Reichel, L.3
  • 8
    • 4043170560 scopus 로고    scopus 로고
    • L-curve and curvature bounds for Tikhonov regularization
    • Calvetti D., Reichel L., and Shuibi A. L-curve and curvature bounds for Tikhonov regularization. Numer. Algorithms 35 (2004) 301-314
    • (2004) Numer. Algorithms , vol.35 , pp. 301-314
    • Calvetti, D.1    Reichel, L.2    Shuibi, A.3
  • 9
    • 46749105484 scopus 로고    scopus 로고
    • A new L-curve for ill-posed problems
    • Reichel L., and Sadok H. A new L-curve for ill-posed problems. J. Comput. Appl. Math. 219 (2008) 493-508
    • (2008) J. Comput. Appl. Math. , vol.219 , pp. 493-508
    • Reichel, L.1    Sadok, H.2
  • 10
    • 0000570697 scopus 로고
    • Analysis of discrete Ill-posed problems by means of the L-curve
    • Hansen P.C. Analysis of discrete Ill-posed problems by means of the L-curve. SIAM Review 34 (1992) 561-580
    • (1992) SIAM Review , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 11
    • 0002902522 scopus 로고
    • Least squares methods for ill-posed problems with a prescribed bound
    • Miller K. Least squares methods for ill-posed problems with a prescribed bound. SIAM J. Math. Anal. 1 (1970) 52-74
    • (1970) SIAM J. Math. Anal. , vol.1 , pp. 52-74
    • Miller, K.1
  • 12
    • 0003476369 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ reprinted by SIAM, Philadelphia, PA, 1995
    • Lawson C.L., and Hanson R.J. Solving Least Squares Problems (1974), Prentice-Hall, Englewood Cliffs, NJ reprinted by SIAM, Philadelphia, PA, 1995
    • (1974) Solving Least Squares Problems
    • Lawson, C.L.1    Hanson, R.J.2
  • 13
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke M., and Hansen P.C. Regularization methods for large-scale problems. Surv. Math. Ind. 3 (1993) 253-315
    • (1993) Surv. Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 14
    • 1542498779 scopus 로고    scopus 로고
    • Limitations of the L-curve method in ill-posed problems
    • Hanke M. Limitations of the L-curve method in ill-posed problems. BIT 36 (1996) 287-301
    • (1996) BIT , vol.36 , pp. 287-301
    • Hanke, M.1
  • 15
    • 13344267706 scopus 로고
    • Regularization tools: A MATLAB package for analysis and solution of discrete ill-posed problems
    • Software is available in Netlib at http://www.netlib.org
    • Hansen P.C. Regularization tools: A MATLAB package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6 (1994) 1-35. http://www.netlib.org Software is available in Netlib at http://www.netlib.org
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 16
    • 0001632418 scopus 로고
    • The use of the L-curve in the regularization of discrete il-posed problems
    • Hansen P.C., and O'Leary D.P. The use of the L-curve in the regularization of discrete il-posed problems. SIAM J. Sci. Comput. 14 (1993) 1486-1503
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1486-1503
    • Hansen, P.C.1    O'Leary, D.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.