메뉴 건너뛰기




Volumn 11, Issue 1-2, 1990, Pages 111-118

Optimal algorithms for linear ill-posed problems yield regularization methods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84972955620     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630569008816364     Document Type: Article
Times cited : (43)

References (14)
  • 1
    • 84973027602 scopus 로고
    • Extremal methods for the solution of ill-posed problems and their applications to inverse problems of heat transfer (russian), Nauka, Moscow
    • O.M. Alifanov, E.A. Artyukliin and S.V., Rumyantsev, Extremal methods for the solution of ill-posed problems and their applications to inverse problems of heat transfer (russian), Nauka, Moscow 1988.
    • (1988)
    • Alifanov, O.M.1    Artyukliin, E.A.2    Rumyantsev, S.V.3
  • 2
    • 5244289648 scopus 로고
    • On the stability if iterative methods for the solution of linear ill-posed problems, Soviet Math. Dokl
    • O.M. Alifanov and S.V. Rumyantsev, On the stability if iterative methods for the solution of linear ill-posed problems, Soviet Math. Dokl. 20 No. 5 (1979) 1133–1136.
    • (1979) 20 No , vol.5 , pp. 1133-1136
    • Alifanov, O.M.1    Rumyantsev, S.V.2
  • 3
    • 45949122096 scopus 로고
    • Coarsened methods of conjugate directions, U.S.S.R. Comp. Maths. Math. Phys
    • A.B. Bakushinskii and V.N., Trushnikov, Coarsened methods of conjugate directions, U.S.S.R. Comp. Maths. Math. Phys. 27 No. 6 (1987) 105–109.
    • (1987) 27 No , vol.6 , pp. 105-109
    • Bakushinskii, A.B.1    Trushnikov, V.N.2
  • 4
    • 84972956151 scopus 로고
    • Regularization methods for linear inverse problems, G. Taleuti (ed.), Inverse Problems. Springer Verlag, Berlin Heidelberg New York
    • M. Bertero. Regularization methods for linear inverse problems, in G. Taleuti (ed.), Inverse Problems. Springer Verlag, Berlin Heidelberg New York 1986.
    • (1986)
    • Bertero, M.1
  • 5
    • 84972847267 scopus 로고    scopus 로고
    • The instability of some gradient methods for ill-posed problems, submitted.
    • B. Eicke, A.K. Louis and R. Plato. The instability of some gradient methods for ill-posed problems, submitted.
    • Eicke, B.1    Louis, A.K.2    Plato, R.3
  • 6
    • 46149141042 scopus 로고
    • Regularizing algorithms based on the conjugate-gradient method
    • S.F. Gilyazov, Regularizing algorithms based on the conjugate-gradient method, U.S.S.R. Comp. Maths. Math. Phys. 26 No. 1 (1986) 8–13.
    • (1986) U.S.S.R. Comp. Maths. Math. Phys. 26 No , vol.1 , pp. 8-13
    • Gilyazov, S.F.1
  • 7
    • 84918963149 scopus 로고
    • On estimation of the stability of quasi-solutions on noncompact sets, Iz. VUZ
    • V.K. Ivanov, On estimation of the stability of quasi-solutions on noncompact sets, Iz. VUZ. Mat, 18 No. 5 (1974), 97–103.
    • (1974) Mat, 18 No , vol.5 , pp. 97-103
    • Ivanov, V.K.1
  • 8
    • 0038594383 scopus 로고
    • Error estimates for solutions of incorrectly posed linear problems, U.S.S.R. Comp. Maths. Math. Phys
    • V.K. Ivanov and T.I. Korolyuk, Error estimates for solutions of incorrectly posed linear problems, U.S.S.R. Comp. Maths. Math. Phys. 9 No. 3 (1969) 35–49.
    • (1969) 9 No , vol.3 , pp. 35-49
    • Ivanov, V.K.1    Korolyuk, T.I.2
  • 9
    • 84972844381 scopus 로고
    • Inverse und schlecht gestellte Probleme, Teubner, Stuttgart
    • A.K. Louis, Inverse und schlecht gestellte Probleme, Teubner, Stuttgart 1989.
    • (1989)
    • Louis, A.K.1
  • 10
    • 0003498851 scopus 로고
    • Methods for solving incorrectly posed problems
    • Springer-Verlag, Berlin Heidelberg New York
    • V. A. Morozov, Methods for solving incorrectly posed problems. Springer-Verlag, Berlin Heidelberg New York 1984.
    • (1984)
    • Morozov, V.A.1
  • 11
    • 38249043048 scopus 로고
    • The regularizing properties of the adjoint gradient method in ill-posed problems
    • A.S. Nemirovskii, The regularizing properties of the adjoint gradient method in ill-posed problems, U.S.S.R. Comp. Maths. Math. Phys. 26 No. 2 (1986) 7–16.
    • (1986) U.S.S.R. Comp. Maths. Math. Phys. , vol.2 , pp. 7-16
    • Nemirovskii, A.S.1
  • 13
    • 0011481293 scopus 로고
    • The discrepancy principle for a class of regularization methods
    • G.M. Vainikko, The discrepancy principle for a class of regularization methods, U.S.S.R. Comp. Maths. Math. Phys. 22 No. 3 (1982) 1–19.
    • (1982) U.S.S.R. Comp. Maths. Math. Phys. 22 No , vol.3 , pp. 1-19
    • Vainikko, G.M.1
  • 14
    • 84972954637 scopus 로고
    • Iteration procedures in ill-posed problems (russian), Nauka, Moscow
    • G.M. Vainikko and A.Y. Veretennikov, Iteration procedures in ill-posed problems (russian), Nauka, Moscow 1986.
    • (1986)
    • Vainikko, G.M.1    Veretennikov, A.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.