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Volumn 56, Issue 2, 1996, Pages 542-572

On weakly nonlinear inverse problems

Author keywords

Geometric stability theory; Nonlinear ill posed inverse problems; Semilinear equations; Stability theory for nonlinear least squares problems; Tikhonov regularization

Indexed keywords

ASYMPTOTIC STABILITY; DIFFUSION; GEOMETRY; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 0030127690     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139994267444     Document Type: Article
Times cited : (29)

References (15)
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  • 3
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    • Quasi-convex sets and size X curvature condition, application to nonlinear inversion
    • G. CHAVENT, Quasi-convex sets and size X curvature condition, application to nonlinear inversion, Appl. Math. Optim., 24 (1991), pp. 129-169.
    • (1991) Appl. Math. Optim. , vol.24 , pp. 129-169
    • Chavent, G.1
  • 4
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    • New size X curvature conditions for strict quasiconvexity of sets
    • _, New size X curvature conditions for strict quasiconvexity of sets, SIAM J. Control Optim., 29 (1991), pp. 1348-1372.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 1348-1372
  • 5
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    • A geometrical theory for nonlinear least squares problems
    • Control Theory of Distributed Parameter Systems and Application, X. Lin and J. Yong, eds., Springer-Verlag, New York
    • _, A geometrical theory for nonlinear least squares problems, in Control Theory of Distributed Parameter Systems and Application, Lecture Notes in Control and Information Sciences 159, X. Lin and J. Yong, eds., Springer-Verlag, New York, 1991, pp. 14-27.
    • (1991) Lecture Notes in Control and Information Sciences 159 , pp. 14-27
  • 6
    • 0003117227 scopus 로고
    • A new sufficient condition for the wellposedness of nonlinear least-squares problems arising in identification and control
    • Analysis and Optimization of Systems, A. Bensoussan and J. L. Lions, eds., Springer-Verlag, New York
    • _, A new sufficient condition for the wellposedness of nonlinear least-squares problems arising in identification and control, in Analysis and Optimization of Systems, Lecture Notes in Control and Information Sciences 144, A. Bensoussan and J. L. Lions, eds., Springer-Verlag, New York, 1990, pp. 452-463.
    • (1990) Lecture Notes in Control and Information Sciences 144 , pp. 452-463
  • 7
    • 0038212661 scopus 로고
    • Convergence of Tikhonov regularization for constrained illposed inverse problems
    • G. CHAVENT AND K. KUNISCH, Convergence of Tikhonov regularization for constrained illposed inverse problems, Inverse Problems, 10 (1994), pp. 63-76.
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    • Chavent, G.1    Kunisch, K.2
  • 8
    • 0012043641 scopus 로고
    • Regularization in state space
    • _, Regularization in state space, RAIRO Journal on Numerical Analysis, 27 (1993), pp. 535-564.
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  • 9
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    • Tikhonov regularization for the solution of nonlinear illposed problems
    • H. ENGL, K. KUNISCH, AND A. NEUBAUER, Tikhonov regularization for the solution of nonlinear illposed problems, Inverse Problems, 5 (1989), pp. 523-540.
    • (1989) Inverse Problems , vol.5 , pp. 523-540
    • Engl, H.1    Kunisch, K.2    Neubauer, A.3
  • 10
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    • The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind
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    • C. W. GROETSCH, The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Research Notes in Mathematics 105, Pitman, Boston, 1984.
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  • 11
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    • Augmented Lagrangian-SQP-methods in Hilbert spaces with application to control in the coefficients problems
    • to appear
    • K. ITO AND K. KUNISCH, Augmented Lagrangian-SQP-methods in Hilbert spaces with application to control in the coefficients problems, SIAM J. Optim., to appear.
    • SIAM J. Optim.
    • Ito, K.1    Kunisch, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.