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Volumn 19, Issue 1, 2003, Pages 31-40

A restarted conjugate gradient method for ill-posed problems

Author keywords

Damped discrepancy principle; Ill posed problems; Restarted CG

Indexed keywords


EID: 42349089778     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/s10255-003-0078-2     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0041051605 scopus 로고
    • On Ill-posed problems and the method of conjugate gradients
    • Engl, H.W. Groetsch, C.W. eds, Academic Press, Boston
    • Brakhage, H. On Ill-posed problems and the method of conjugate gradients. In: Engl, H.W. Groetsch, C.W. eds, Inverse and Ill-Posed Problems, Academic Press, Boston, 165-175 (1987)
    • (1987) Inverse and Ill-Posed Problems , pp. 165-175
    • Brakhage, H.1
  • 2
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for Toeplitz systems
    • Chan, R., NG, M.K. Conjugate gradient methods for Toeplitz systems. SIAM Review, 38: 427-482 (1996)
    • (1996) SIAM Review , vol.38 , pp. 427-482
    • Chan, R.1    NG, M.K.2
  • 4
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke, M., Hansen, P.C. Regularization methods for large-scale problems. Surv. Math. Ind., 3: 253-315 (1993)
    • (1993) Surv. Math. Ind , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 5
    • 0001195441 scopus 로고
    • Numerical tools for analysis and solution of fredholm integral equations of the first kind
    • Hansen, P.C. Numerical tools for analysis and solution of fredholm integral equations of the first kind. Inverse Problems, 8: 849-872 (1992)
    • (1992) Inverse Problems , vol.8 , pp. 849-872
    • Hansen, P.C.1
  • 6
    • 0025462662 scopus 로고
    • Regularization theory in image restoration-the stabilizing functional approach
    • Karayiannis, N.B., Venetsanopoulos, A.N. Regularization theory in image restoration-the stabilizing functional approach. IEEE Trans. Acoust. Speech Sig. Proc., 38: 1154-1179 (1990)
    • (1990) IEEE Trans. Acoust. Speech Sig. Proc , vol.38 , pp. 1154-1179
    • Karayiannis, N.B.1    Venetsanopoulos, A.N.2
  • 7
    • 0009571253 scopus 로고
    • On a class of damped Morozov principle
    • Kunisch, K. On a class of damped Morozov principle. Computing, 50: 185-198 (1993)
    • (1993) Computing , vol.50 , pp. 185-198
    • Kunisch, K.1
  • 8
    • 0025463347 scopus 로고
    • Identification and restoration of noisy blurred images using the expection-maximization algorithm
    • Lagendijk, R.L., Biemond, J., Boekee, D.E. Identification and restoration of noisy blurred images using the expection-maximization algorithm. IEEE Trans. Acoust. Speech Sig. Proc., 38: 1180-1191 (1990)
    • (1990) IEEE Trans. Acoust. Speech Sig. Proc , vol.38 , pp. 1180-1191
    • Lagendijk, R.L.1    Biemond, J.2    Boekee, D.E.3
  • 9
    • 0040132034 scopus 로고
    • Convergence of the conjugate method for compact operators
    • Engl, H.W, Groetsch, C.W. eds, Academic Press, Boston
    • Louis, A.K. Convergence of the conjugate method for compact operators. In: Engl, H.W., Groetsch, C.W. eds., Inverse and Ill-Posed Problems, Academic Press, Boston, 177-183, 1987
    • (1987) Inverse and Ill-Posed Problems , pp. 177-183
    • Louis, A.K.1
  • 10
    • 0015250276 scopus 로고
    • Improvement of the resolution of an instrument by numerical solution of an integral equation
    • Shaw, C.B. Jr. Improvement of the resolution of an instrument by numerical solution of an integral equation. J. Math. Anal. Appl., 37: 83-112 (1972)
    • (1972) J. Math. Anal. Appl , vol.37 , pp. 83-112
    • Shaw Jr., C.B.1
  • 13
    • 0000296726 scopus 로고
    • On the numerical solution of ill-conditioned linear systems with application to ill-posed problems
    • Varah, J.M. On the numerical solution of ill-conditioned linear systems with application to ill-posed problems. SIAM J. Numer. Anal., 10: 257-267 (1973)
    • (1973) SIAM J. Numer. Anal , vol.10 , pp. 257-267
    • Varah, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.