메뉴 건너뛰기




Volumn 219, Issue 2, 2008, Pages 493-508

A new L-curve for ill-posed problems

Author keywords

Ill posed problem; L curve; Truncated singular value decomposition; Truncation criterion

Indexed keywords

CURVES (ROAD); EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL METHODS;

EID: 46749105484     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.01.025     Document Type: Article
Times cited : (50)

References (17)
  • 1
    • 0013178793 scopus 로고
    • Remarks on choosing a regularization parameter using quasi-optimality and ratio criterion
    • Bakushinskii A.B. Remarks on choosing a regularization parameter using quasi-optimality and ratio criterion. USSR Comput. Math. and Math. Phys. 24 4 (1984) 181-182
    • (1984) USSR Comput. Math. and Math. Phys. , vol.24 , Issue.4 , pp. 181-182
    • Bakushinskii, A.B.1
  • 4
    • 0142023207 scopus 로고    scopus 로고
    • Multi-parameter regularization techniques for ill-conditioned linear systems
    • Brezinski C., Redivo-Zaglia M., Rodriguez G., and Seatzu S. Multi-parameter regularization techniques for ill-conditioned linear systems. Numer. Math. 94 (2003) 203-228
    • (2003) Numer. Math. , vol.94 , pp. 203-228
    • Brezinski, C.1    Redivo-Zaglia, M.2    Rodriguez, G.3    Seatzu, S.4
  • 5
    • 0000924088 scopus 로고    scopus 로고
    • Estimation of the L-curve via Lanczos bidiagonalization
    • Calvetti D., Golub G.H., 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.H.2    Reichel, L.3
  • 6
    • 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
  • 7
    • 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
  • 9
    • 0000570697 scopus 로고
    • Analysis of the discrete ill-posed problems by means of the L-curve
    • Hansen P.C. Analysis of the discrete ill-posed problems by means of the L-curve. SIAM Rev. 34 (1992) 561-580
    • (1992) SIAM Rev. , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 10
    • 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
  • 12
    • 33748746573 scopus 로고    scopus 로고
    • An adaptive pruning algorithm for the discrete L-curve criterion
    • MATLAB code for the algorithm is available at 〈http://www2.imm.dtu.dk/~pch〉
    • Hansen P.C., Jensen T.K., and Rodriguez G. An adaptive pruning algorithm for the discrete L-curve criterion. J. Comput. Appl. Math. 198 (2007) 483-492. http://www2.imm.dtu.dk/pch MATLAB code for the algorithm is available at 〈http://www2.imm.dtu.dk/~pch〉
    • (2007) J. Comput. Appl. Math. , vol.198 , pp. 483-492
    • Hansen, P.C.1    Jensen, T.K.2    Rodriguez, G.3
  • 13
    • 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
  • 15
    • 33646174082 scopus 로고    scopus 로고
    • Iterative methods for ill-posed problems and semiconvergent sequences
    • Morigi S., Reichel L., Sgallari F., and Zama F. Iterative methods for ill-posed problems and semiconvergent sequences. J. Comput. Appl. Math. 193 (2006) 157-167
    • (2006) J. Comput. Appl. Math. , vol.193 , pp. 157-167
    • Morigi, S.1    Reichel, L.2    Sgallari, F.3    Zama, F.4
  • 16
    • 84890326874 scopus 로고
    • A technique for the numerical solution of certain integral equations of the first kind
    • Phillips D.L. A technique for the numerical solution of certain integral equations of the first kind. J. ACM 9 (1962) 84-97
    • (1962) J. ACM , vol.9 , pp. 84-97
    • Phillips, D.L.1
  • 17
    • 0015250276 scopus 로고
    • Improvements of the resolution of an instrument by numerical solution of an integral equation
    • Shaw Jr. C.B. Improvements of the resolution of an instrument by numerical solution of an integral equation. J. Math. Anal. Appl. 37 (1972) 83-112
    • (1972) J. Math. Anal. Appl. , vol.37 , pp. 83-112
    • Shaw Jr., C.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.