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Volumn 19, Issue 7-8, 1998, Pages 873-901

Least Squares and Bounded Variation Regularization with Nondifferentiable Functionals

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); EQUATIONS OF MOTION; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS;

EID: 0032165154     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569808816863     Document Type: Article
Times cited : (44)

References (24)
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  • 5
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    • Translated from the second Romanian edition. Second edition. Reidel Publishing Co., Dordrecht-Boston
    • V. Barbu and Th. Precupanu, Convexity and Optimization in Banach Spaces, Translated from the second Romanian edition. Second edition. Reidel Publishing Co., Dordrecht-Boston, 1986.
    • (1986) Convexity and Optimization in Banach Spaces
    • Barbu, V.1    Precupanu, Th.2
  • 6
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and related problems
    • A. Chambolle and P. -L. Lions, Image recovery via total variation minimization and related problems, Numer. Math. 76 (1997), 167-188.
    • (1997) Numer. Math. , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.L.2
  • 8
    • 0004102099 scopus 로고
    • Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals
    • Springer-Verlag, New York
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    • (1982) Lecture Notes in Mathematics
    • Dacorogna, B.1
  • 10
    • 36149030945 scopus 로고
    • Tikhonov regularization for the solution of nonlinear ill-posed problems
    • H. W. Engl, K. Kunisch, and A. Neubauer, Tikhonov regularization for the solution of nonlinear ill-posed problems, Inverse Problems 5 (1989), 523-540.
    • (1989) Inverse Problems , vol.5 , pp. 523-540
    • Engl, H.W.1    Kunisch, K.2    Neubauer, A.3
  • 12
    • 0029341230 scopus 로고
    • Nonlinear image recovery with half-quadratic regularization
    • D. Geman and C. Yang, Nonlinear image recovery with half-quadratic regularization, IEEE Transactions on Image Processing 4 (1995), 932-945.
    • (1995) IEEE Transactions on Image Processing , vol.4 , pp. 932-945
    • Geman, D.1    Yang, C.2
  • 17
    • 0000906396 scopus 로고    scopus 로고
    • Augmented Lagrangian formulation of nonsmooth convex optimization in Hilbert spaces
    • Control of Partial Differential Equations and Applications, Eduardo Casas, ed.; Marcel Dekker Inc., New York
    • K. Ito and K. Kunisch, Augmented Lagrangian formulation of nonsmooth convex optimization in Hilbert spaces, in Control of Partial Differential Equations and Applications, Eduardo Casas, ed.; Lecture Notes in Pure and Applied Mathematics, 174, Marcel Dekker Inc., New York, 1996, pp. 107-117.
    • (1996) Lecture Notes in Pure and Applied Mathematics , vol.174 , pp. 107-117
    • Ito, K.1    Kunisch, K.2
  • 18
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    • The Perona-Malik paradox
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    • 0001357011 scopus 로고    scopus 로고
    • Stable approximation of nondifferentiable optimization problems with variational inequalities
    • Recent Developments in Optimization Theory and Nonlinear Analysis", (eds. Y. Censor and S. Reich)
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    • Nashed, M.Z.1    Scherzer, O.2
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    • Stable approximation of a minimal surface problem with variational inequalities
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.