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Volumn 5, Issue 3, 2003, Pages 299-312

Method of best successive approximations for nonlinear operators

Author keywords

Best estimation; Functional minimization; Operator approximation

Indexed keywords

ALGORITHMS; MATHEMATICAL OPERATORS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 0037262258     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023223604650     Document Type: Article
Times cited : (7)

References (24)
  • 2
    • 48549109893 scopus 로고
    • An approximate Weierstrass theorem in topological vector space
    • V. I. Bruno. An approximate Weierstrass theorem in topological vector space, J. Approximation Theory 42, 1-3 (1984).
    • (1984) J. Approximation Theory , vol.42 , pp. 1-3
    • Bruno, V.I.1
  • 3
    • 0024861871 scopus 로고
    • Approximation by superpositions of a sigmoidal function
    • G. Cybenko, Approximation by superpositions of a sigmoidal function, Math. Control Signals Systems 2, 303-314 (1989).
    • (1989) Math. Control Signals Systems , vol.2 , pp. 303-314
    • Cybenko, G.1
  • 5
    • 0032646567 scopus 로고    scopus 로고
    • On eignevalue decomposition estimators of centro-symmetric covariance matrices
    • J.-P. Delmas, On eignevalue decomposition estimators of centro-symmetric covariance matrices, Signal Processing. 78, 101-116 (1999).
    • (1999) Signal Processing , vol.78 , pp. 101-116
    • Delmas, J.-P.1
  • 6
    • 0017019838 scopus 로고
    • Representations of non-linear systems via the Stone-Weierstrass theorem
    • P. G. Gallman and K. S. Narendra, Representations of non-linear systems via the Stone-Weierstrass theorem, Automatica 12, 619-622 (1976)
    • (1976) Automatica , vol.12 , pp. 619-622
    • Gallman, P.G.1    Narendra, K.S.2
  • 7
    • 0031123698 scopus 로고    scopus 로고
    • A methodology for the constructive approximation of nonlinear-operators defined on noncompact sets
    • P. G. Hewlett and A. P. Torokhti. A methodology for the constructive approximation of nonlinear-operators defined on noncompact sets, Numer. Funct. Anal. and Optimiz. 18, 343-365 (1997).
    • (1997) Numer. Funct. Anal. and Optimiz. , vol.18 , pp. 343-365
    • Hewlett, P.G.1    Torokhti, A.P.2
  • 8
    • 0032206130 scopus 로고    scopus 로고
    • Weak interpolation and approximation of non-linear operators on the space C ([0,1])
    • P. G. Hewlett and A. P. Torokhti, Weak interpolation and approximation of non-linear operators on the space C ([0,1]), Numerical Funct. Anal. and Optimiz. 19, 1025-1043 (1998).
    • (1998) Numerical Funct. Anal. and Optimiz. , vol.19 , pp. 1025-1043
    • Hewlett, P.G.1    Torokhti, A.P.2
  • 10
  • 11
    • 1842868871 scopus 로고
    • A Weierstrass theorem for real Banach spaces
    • V. I. Istrǎţescu, A Weierstrass theorem for real Banach spaces, J. Approximation Theory 19, 118-122 (1977).
    • (1977) J. Approximation Theory , vol.19 , pp. 118-122
    • Istrǎţescu, V.I.1
  • 12
    • 0032646822 scopus 로고    scopus 로고
    • Forward-only and forward-backward sample covariances - A comparative study
    • M. Jansson and P. Stoica, Forward-only and forward-backward sample covariances - A comparative study, Signal Processing, 77, 235-245 (1999).
    • (1999) Signal Processing , vol.77 , pp. 235-245
    • Jansson, M.1    Stoica, P.2
  • 15
    • 0000936727 scopus 로고
    • A Weierstrass theorem for real, separable Hilber spaces
    • P.M. Prenter, A Weierstrass theorem for real, separable Hilber spaces, J. Approximation Theory 3, 341-357 (1970).
    • (1970) J. Approximation Theory , vol.3 , pp. 341-357
    • Prenter, P.M.1
  • 16
    • 3543052161 scopus 로고
    • Weierstrass-Stone theorems for set-valued mappings
    • J. B. Prolla and S. Machado, Weierstrass-Stone theorems for set-valued mappings, J. Approx. Theory 36, 1-15 (1982).
    • (1982) J. Approx. Theory , vol.36 , pp. 1-15
    • Prolla, J.B.1    Machado, S.2
  • 17
    • 0004767475 scopus 로고    scopus 로고
    • Criteria for uniform approximation using dynamical neural networks
    • Crete, Greece
    • I. W. Sandberg. Criteria for uniform approximation using dynamical neural networks, in Proc. 4th IEEE Mediterranean Symp. Control Automation Crete, Greece. 1996, pp. 1-5.
    • (1996) Proc. 4th IEEE Mediterranean Symp. Control Automation , pp. 1-5
    • Sandberg, I.W.1
  • 21
    • 0002022840 scopus 로고    scopus 로고
    • On the constructive approximation of non-linear operators in the modelling of dynamical systems
    • A. P. Torokhti and P. G. Howlett, On the constructive approximation of non-linear operators in the modelling of dynamical systems, J. Austral. Math. Soc. Ser. B, 39, 1-27 (1997).
    • (1997) J. Austral. Math. Soc. Ser. B , vol.39 , pp. 1-27
    • Torokhti, A.P.1    Howlett, P.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.