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Volumn 22, Issue 1, 2003, Pages 199-214

Morozov's discrepancy principle under general source conditions

Author keywords

Discrepancy principle; General source conditions; Linear ill posed problems; Order optimal error bounds; Regularization

Indexed keywords


EID: 0037227075     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1140     Document Type: Article
Times cited : (58)

References (15)
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  • 5
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    • Hohage, T.1
  • 7
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    • Tikhonov regularization for finitely and infinitely smoothing operators
    • Mair, B. A.: Tikhonov regularization for finitely and infinitely smoothing operators. SIAM J. Math. Anal. 25 (1994), 135 - 147.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 135-147
    • Mair, B.A.1
  • 8
    • 0000739264 scopus 로고
    • On the solution of functional equations by the method of regularization
    • Morozov, V. A.: On the solution of functional equations by the method of regularization. Soviet Math. Dokl. 7 (1966), 414 - 417.
    • (1966) Soviet Math. Dokl. , vol.7 , pp. 414-417
    • Morozov, V.A.1
  • 9
    • 22644452310 scopus 로고    scopus 로고
    • On Morozov's method for Tikhonov regularization as an optimal order yielding algorithm
    • Nair, M. T.: On Morozov's method for Tikhonov regularization as an optimal order yielding algorithm. J. Anal. Anw. 18 (1999), 37 - 46.
    • (1999) J. Anal. Anw. , vol.18 , pp. 37-46
    • Nair, M.T.1
  • 11
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    • Morozov's discrepancy principle for Tikhonov regularization of severely ill-posed problems
    • Pereverzev, S. and E. Schock: Morozov's discrepancy principle for Tikhonov regularization of severely ill-posed problems. Numer. Funct. Anal. & Optimiz. 21 (2000), 901 - 920.
    • (2000) Numer. Funct. Anal. & Optimiz. , vol.21 , pp. 901-920
    • Pereverzev, S.1    Schock, E.2
  • 12
    • 0012460727 scopus 로고    scopus 로고
    • Approximate solution of ill-posed equations: Arbitrary slow convergence vs. superconvergence
    • (eds.: G. Hämmerlin and K. H. Hofmann). Basel: Birkhäuser Verlag
    • Schock, E.: Approximate solution of ill-posed equations: arbitrary slow convergence vs. superconvergence. In: Constructive Methods for the Practical Treatment of Integral Equations (eds.: G. Hämmerlin and K. H. Hofmann). Basel: Birkhäuser Verlag, pp. 234 - 243.
    • Constructive Methods for the Practical Treatment of Integral Equations , pp. 234-243
    • Schock, E.1
  • 13
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    • Optimality for ill-posed problems under general source conditions
    • Tautenhahn, U.: Optimality for ill-posed problems under general source conditions. Numer. Funct. Anal. & Optimiz. 19 (1989), 377 - 398.
    • (1989) Numer. Funct. Anal. & Optimiz. , vol.19 , pp. 377-398
    • Tautenhahn, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.