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Volumn 37, Issue 3, 1998, Pages 243-267

State-space regularization: Geometric theory

Author keywords

Geometric stability theory; Ill posed inverse problems; Nonlinear least squares; Regularization

Indexed keywords

COMPUTATIONAL GEOMETRY; LEAST SQUARES APPROXIMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY; STATE SPACE METHODS;

EID: 0032074977     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459900076     Document Type: Article
Times cited : (4)

References (11)
  • 1
    • 0003117227 scopus 로고
    • A new sufficient condition for the wellposednes of nonlinear least-squares problems arising in identification and control
    • A. Bensoussan and J.L. Lions (Eds.), Springer-Verlag, Berlin
    • G. Chavent: A new sufficient condition for the wellposednes of nonlinear least-squares problems arising in identification and control, in: Lecture Notes in Control and Information Sciences, vol. 144, A. Bensoussan and J.L. Lions (Eds.), Springer-Verlag, Berlin, 1990, pp. 452-463.
    • (1990) Lecture Notes in Control and Information Sciences , vol.144 , pp. 452-463
    • Chavent, G.1
  • 2
    • 0039852371 scopus 로고
    • 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), 129-169.
    • (1991) Appl. Math. Optim. , vol.24 , pp. 129-169
    • Chavent, G.1
  • 3
    • 0026254310 scopus 로고
    • New size x curvature conditions for strict quasiconvexity of sets
    • G. Chavent: New size x curvature conditions for strict quasiconvexity of sets, SIAM J. Control Optim. 29 (1991), 1348-1372.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 1348-1372
    • Chavent, G.1
  • 6
    • 0038212661 scopus 로고
    • Convergence of Tikhonov regularization for constrained ill-posed problems
    • G. Chavent and K. Kunisch: Convergence of Tikhonov regularization for constrained ill-posed problems, Inverse Problems 10 (1994), 63-76.
    • (1994) Inverse Problems , vol.10 , pp. 63-76
    • Chavent, G.1    Kunisch, K.2
  • 7
    • 36149030945 scopus 로고
    • 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), 523-540.
    • (1989) Inverse Problems , vol.5 , pp. 523-540
    • Engl, H.1    Kunisch, K.2    Neubauer, A.3
  • 8
    • 0003368014 scopus 로고
    • The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind
    • Pitman, Boston
    • C.W. Groetsch: The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Research Notes in Mathematics, vol. 105, Pitman, Boston, 1984.
    • (1984) Research Notes in Mathematics , vol.105
    • Groetsch, C.W.1
  • 9
    • 0022027469 scopus 로고
    • Identification of parameters in distributed parameter systems by regularization
    • C. Kravaris and J.H. Seinfeld: Identification of parameters in distributed parameter systems by regularization, SIAM J. Control Optim. 23 (1985).
    • (1985) SIAM J. Control Optim. , vol.23
    • Kravaris, C.1    Seinfeld, J.H.2
  • 10
    • 0001425652 scopus 로고
    • Tikhonov regularization for nonlinear illposed problems: Optimal convergence rates and finite-dimensional approximation
    • A. Neubauer: Tikhonov regularization for nonlinear illposed problems: optimal convergence rates and finite-dimensional approximation, Inverse Problems 5 (1989), 541-558.
    • (1989) Inverse Problems , vol.5 , pp. 541-558
    • Neubauer, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.