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Volumn 75, Issue 1, 1996, Pages 99-120

On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations

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EID: 0030524567     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050232     Document Type: Article
Times cited : (26)

References (25)
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  • 2
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    • On ill-posed problems and the method of conjugate gradients
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    • Brakhage, H. (1987): On ill-posed problems and the method of conjugate gradients. In: Engl, H.W., Groetsch, C.W. (eds.) Inverse and Ill-Posed Problems. Proc. St. Wolfgang, pp. 165-175, Boston, Academic Press
    • (1987) Inverse and Ill-posed Problems. Proc. St. Wolfgang , pp. 165-175
    • Brakhage, H.1
  • 3
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    • Regularization methods for the stable solution of inverse problems
    • Engl, H.W. (1993): Regularization methods for the stable solution of inverse problems. Surv. Math. Ind. 4, 71-143
    • (1993) Surv. Math. Ind. , vol.4 , pp. 71-143
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  • 4
    • 38149145544 scopus 로고
    • Uniform convergence of regularization methods for linear ill-posed problems
    • Engl, H.W., Hodina, G. (1991): Uniform convergence of regularization methods for linear ill-posed problems. J. Comp. Appl. Math. 38, 87-103
    • (1991) J. Comp. Appl. Math. , vol.38 , pp. 87-103
    • Engl, H.W.1    Hodina, G.2
  • 5
    • 0003529299 scopus 로고
    • Remark on a resolvent inequality for the second order central divided difference operator
    • Technische Universität Berlin, Preprint No. 231
    • Grigorieff, R.D. (1989): Remark on a resolvent inequality for the second order central divided difference operator. Fachbereich Mathematik, Technische Universität Berlin, Preprint No. 231
    • (1989) Fachbereich Mathematik
    • Grigorieff, R.D.1
  • 6
    • 21844520747 scopus 로고
    • On a minimax equality for seminorms
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    • Grigorieff, R.D.1    Plato, R.2
  • 7
    • 84974379665 scopus 로고
    • Uniform convergence of regularization methods for Fredholm equations of the first kind
    • Groetsch, C.W. (1985): Uniform convergence of regularization methods for Fredholm equations of the first kind. J. Austral. Math. Soc. (Ser. A) 39, 282-286
    • (1985) J. Austral. Math. Soc. (Ser. A) , vol.39 , pp. 282-286
    • Groetsch, C.W.1
  • 9
    • 0038618747 scopus 로고
    • Accelerated Landweber iterations for the solution of ill-posed problems
    • Hanke, M. (1991): Accelerated Landweber iterations for the solution of ill-posed problems. Numer. Math. 60, 341-373
    • (1991) Numer. Math. , vol.60 , pp. 341-373
    • Hanke, M.1
  • 10
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems
    • Hanke, M., Hansen, P.C. (1993): Regularization methods for large-scale problems. Surv. Math. Ind. 3, 253-315
    • (1993) Surv. Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 13
    • 0001897992 scopus 로고
    • Optimal estimation of linear operators in Hilbert spaces from inaccurate data
    • Melkman, A.A., Micchelli, C.A. (1979): Optimal estimation of linear operators in Hilbert spaces from inaccurate data. SIAM J. Numer. Anal. 16, 87-105
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 87-105
    • Melkman, A.A.1    Micchelli, C.A.2
  • 14
    • 0000328109 scopus 로고
    • Optimal estimation of linear operators from inaccurate data: A second look
    • Micchelli, C.A. (1993): Optimal estimation of linear operators from inaccurate data: A second look. Numer. Algorithms 5(1-4), 375-390
    • (1993) Numer. Algorithms , vol.5 , Issue.1-4 , pp. 375-390
    • Micchelli, C.A.1
  • 18
    • 0040457627 scopus 로고
    • Two iterative schemes for solving linear non-necessarily well-posed problems in banach spaces
    • Tikhonov, A.N. (ed.) Utrecht, Tokyo, VSP
    • Plato, R. (1992): Two iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces. In: Tikhonov, A.N. (ed.) Proc. Moscow 1991, pp. 134-143, Utrecht, Tokyo, VSP
    • (1992) Proc. Moscow 1991 , pp. 134-143
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  • 19
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    • TU Berlin
    • Plato, R. (1995): Iterative and other methods for linear ill-posed equations. Habilitationsschrift, Fachbereich Mathematik, TU Berlin
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    • Plato, R.1
  • 21
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    • Pustyl'nik, E.I.1
  • 22
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    • Regularization of ill-posed problems involving unbounded operators in Banach spaces
    • Schock, E., Vũ Quôc Phóng (1991): Regularization of ill-posed problems involving unbounded operators in Banach spaces. Hokkaido Math. J. 20, 559-569
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    • Schock, E.1    Phóng, V.Q.2
  • 24
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    • The discrepancy principle for a class of regularization methods
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    • Vainikko, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.