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Volumn 136, Issue 3, 2008, Pages 341-357

Gradient estimation using lagrange interpolation polynomials

Author keywords

Gradient estimation; Lagrange interpolation; Mean squared error

Indexed keywords

ERRORS; INTERPOLATION; LAGRANGE MULTIPLIERS; MEAN SQUARE ERROR; POLYNOMIALS; STOCHASTIC SYSTEMS;

EID: 39749099950     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-007-9315-9     Document Type: Article
Times cited : (5)

References (14)
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  • 3
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    • Kim, J., Bates, D.G., Postlethwaite, I.: Nonlinear robust performance analysis using complex-step gradient approximation. Automatica 42, 177-182 (2006)
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    • Kim, J.1    Bates, D.G.2    Postlethwaite, I.3
  • 6
    • 0001079593 scopus 로고
    • Stochastic estimation of a regression function
    • Kiefer, J., Wolfowitz, J.: Stochastic estimation of a regression function. Ann. Math. Stat. 23, 462-466 (1952)
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    • Kiefer, J.1    Wolfowitz, J.2
  • 7
    • 0000792515 scopus 로고
    • Multidimensional stochastic approximation methods
    • Blum, J.R.: Multidimensional stochastic approximation methods. Ann. Math. Stat. 25, 737-744 (1954)
    • (1954) Ann. Math. Stat. , vol.25 , pp. 737-744
    • Blum, J.R.1
  • 8
    • 0004979275 scopus 로고
    • Stochastic quasigradients methods
    • Ermoliev, Y., Wets, R.J.-B. (eds.) Springer Chap. 6
    • Ermoliev, Y.: Stochastic quasigradients methods. In: Ermoliev, Y., Wets, R.J.-B. (eds.) Numerical Techniques for Stochastic Optimization. Springer (1980), Chap. 6
    • (1980) Numerical Techniques for Stochastic Optimization
    • Ermoliev, Y.1
  • 9
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    • Optimization of stochastic systems via simulation
    • MacNair, E.A., et al. (eds.)
    • Glynn, P.W.: Optimization of stochastic systems via simulation. In: MacNair, E.A., et al. (eds.) Proceedings of the 1989 Winter Simulation Conference, pp. 90-105 (1989)
    • (1989) Proceedings of the 1989 Winter Simulation Conference , pp. 90-105
    • Glynn, P.W.1
  • 10
    • 0011394477 scopus 로고
    • Comparison of perturbation analysis with conventional sensitivity estimates for stochastic systems
    • Zazanis, M.A., Suri, R.: Comparison of perturbation analysis with conventional sensitivity estimates for stochastic systems. Oper. Res. 41, 694-703 (1993)
    • (1993) Oper. Res. , vol.41 , pp. 694-703
    • Zazanis, M.A.1    Suri, R.2
  • 11
    • 0001577860 scopus 로고
    • On the convergence rates of IPA and FDC derivative estimators for finite-horizon stochastic systems
    • L'Ecuyer, P., Perron, G.: On the convergence rates of IPA and FDC derivative estimators for finite-horizon stochastic systems. Oper. Res. 42, 643-656 (1994)
    • (1994) Oper. Res. , vol.42 , pp. 643-656
    • L'Ecuyer, P.1    Perron, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.