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Volumn 88, Issue 3, 1996, Pages 709-724

Stochastic penalty function methods for nonsmooth constrained minimization 1

Author keywords

Convergence; Duality; Multipliers; Nonsmooth optimization; Penalty functions; Stochastic subgradients

Indexed keywords

CONSTRAINED OPTIMIZATION; ITERATIVE METHODS; STOCHASTIC SYSTEMS;

EID: 0030534561     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02192206     Document Type: Article
Times cited : (3)

References (13)
  • 1
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    • A descent numerical method for optimization problems with nondifferentiable cost functional
    • BERTSEKAS, D. P., and MITTER, S. K., A Descent Numerical Method for Optimization Problems with Nondifferentiable Cost Functional, SIAM Journal on Control and Optimization, Vol. 11, pp. 637-652, 1973.
    • (1973) SIAM Journal on Control and Optimization , vol.11 , pp. 637-652
    • Bertsekas, D.P.1    Mitter, S.K.2
  • 2
    • 0011339337 scopus 로고
    • Optimization of lipschitz continuous functions
    • GOLDSTEIN, A. A., Optimization of Lipschitz Continuous Functions, Mathematical Programming, Vol. 13, pp. 14-22, 1977.
    • (1977) Mathematical Programming , vol.13 , pp. 14-22
    • Goldstein, A.A.1
  • 3
    • 0019579158 scopus 로고
    • On the solution of singular-value inequalities over a continuum of frequencies
    • POLAK, E., and MAYNE, D. Q., On the Solution of Singular-Value Inequalities over a Continuum of Frequencies, IEEE Transactions on Automatic Control, Vol. 26, pp. 690-695, 1981.
    • (1981) IEEE Transactions on Automatic Control , vol.26 , pp. 690-695
    • Polak, E.1    Mayne, D.Q.2
  • 4
    • 0016947366 scopus 로고
    • An algorithm for optimization problems with functional inequality constraints
    • POLAK, E., and MAYNE, D. Q., An Algorithm for Optimization Problems with Functional Inequality Constraints, IEEE Transactions on Automatic Control, Vol. 21, pp. 184-193, 1976.
    • (1976) IEEE Transactions on Automatic Control , vol.21 , pp. 184-193
    • Polak, E.1    Mayne, D.Q.2
  • 5
    • 0018520451 scopus 로고
    • Theoretical and computational aspects of optimal design centering, tolerancing, and tuning problems
    • POLAK, E., and SANGIOVANNI-VINCENTELLI, A., Theoretical and Computational Aspects of Optimal Design Centering, Tolerancing, and Tuning Problems, IEEE Transactions on Automatic Control, Vol. 26, pp. 795-813, 1979.
    • (1979) IEEE Transactions on Automatic Control , vol.26 , pp. 795-813
    • Polak, E.1    Sangiovanni-Vincentelli, A.2
  • 6
    • 0002783313 scopus 로고
    • Stochastic quasigradient methods
    • Edited by Y. Ermoliev and R. Wets, Springer Verlag, Berlin, Germany
    • ERMOLIEV, Y., Stochastic Quasigradient Methods, Numerical Techniques in Stochastic Optimization, Edited by Y. Ermoliev and R. Wets, Springer Verlag, Berlin, Germany, pp. 141-185, 1988.
    • (1988) Numerical Techniques in Stochastic Optimization , pp. 141-185
    • Ermoliev, Y.1
  • 9
    • 0039218959 scopus 로고
    • Utilization of the operation of space dilatation in the minimization of convex functions
    • SHOR, N. Z., Utilization of the Operation of Space Dilatation in the Minimization of Convex Functions, Cybernetics, Vol. 1, pp. 7-15, 1970.
    • (1970) Cybernetics , vol.1 , pp. 7-15
    • Shor, N.Z.1
  • 10
    • 0040997550 scopus 로고
    • Solution of minimax problems by the method of generalized gradient descent with dilatation of space
    • SHOR, N. Z., and SHABASHOVA, L. P., Solution of Minimax Problems by the Method of Generalized Gradient Descent with Dilatation of Space, Cybernetics, Vol. 1, pp. 88-94, 1972.
    • (1972) Cybernetics , vol.1 , pp. 88-94
    • Shor, N.Z.1    Shabashova, L.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.