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Journal of Computational and Applied Mathematics
Volumn 198, Issue 2, 2007, Pages 483-492
An adaptive pruning algorithm for the discrete L-curve criterion
Author keywords

Discrete ill posed problems; L curve criterion; Parameter choice method; Regularization
Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; GRAPH THEORY; ITERATIVE METHODS; NUMERICAL ANALYSIS; PROBLEM SOLVING;
EID: 33748746573     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.09.026     Document Type: Article
Times cited : (170)
References (10)
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    • Belge M., Kilmer M.E., and Miller E.L. Efficient determination of multiple regularization parameters in a generalized L-curve framework. Inverse Problems 18 (2002) 1161-1183
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    • Belge, M.1    Kilmer, M.E.2    Miller, E.L.3
  • 2
    • 0036895160 scopus 로고    scopus 로고
    • The triangle method for finding the corner of the L-curve
    • Castellanos J.L., Gómez S., and Guerra V. The triangle method for finding the corner of the L-curve. Appl. Numer. Math. 43 (2002) 359-373
    • (2002) Appl. Numer. Math. , vol.43 , pp. 359-373
    • Castellanos, J.L.1    Gómez, S.2    Guerra, V.3
  • 3
    • 1542498779 scopus 로고    scopus 로고
    • Limitations of the L-curve method for ill-posed problems
    • Hanke M. Limitations of the L-curve method for ill-posed problems. BIT 36 (1996) 287-301
    • (1996) BIT , vol.36 , pp. 287-301
    • Hanke, M.1
  • 4
    • 13344267706 scopus 로고
    • Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems
    • Hansen P.C. Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6 (1994) 1-35
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 6
    • 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.C. 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.C.1
  • 7
    • 0036255856 scopus 로고    scopus 로고
    • Deconvolution and regularization with Toeplitz matrices
    • Hansen P.C. Deconvolution and regularization with Toeplitz matrices. Numer. Algorithms 29 (2002) 323-378
    • (2002) Numer. Algorithms , vol.29 , pp. 323-378
    • Hansen, P.C.1
  • 8
    • 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. The use of the L-curve in the regularization of discrete ill-posed problems. SIAM J. Sci. Comput. 14 (1993) 1487-1503
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2
  • 9
    • 33748753357 scopus 로고    scopus 로고
    • An algorithm for estimating the optimal regularization parameter by the L-curve
    • Rodriguez G., and Theis D. An algorithm for estimating the optimal regularization parameter by the L-curve. Rend. Mat. 25 (2005) 69-84
    • (2005) Rend. Mat. , vol.25 , pp. 69-84
    • Rodriguez, G.1    Theis, D.2
  • 10
    • 0001041472 scopus 로고    scopus 로고
    • Non-convergence of the L-curve regularization parameter selection method
    • Vogel C.R. Non-convergence of the L-curve regularization parameter selection method. Inverse Problems 12 (1996) 535-547
    • (1996) Inverse Problems , vol.12 , pp. 535-547
    • Vogel, C.R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.