메뉴 건너뛰기




Volumn 16, Issue 4, 2006, Pages 1054-1075

A derivative-free algorithm for linearly constrained finite minimax problems

Author keywords

Derivative free optimization; Linearly constrained finite minimax problems; Nonsmooth optimization

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; GAME THEORY; OPTIMIZATION; PARAMETER ESTIMATION;

EID: 33750913136     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/040615821     Document Type: Article
Times cited : (39)

References (20)
  • 2
    • 0016940743 scopus 로고
    • Nonlinear minimax optimization as a sequence of least pth optimization with finite values of p
    • J. W. BANDLER AND C. CHARALAMBOUS, Nonlinear minimax optimization as a sequence of least pth optimization with finite values of p, Internat. J. Systems Sci., 7 (1976), pp. 377-391.
    • (1976) Internat. J. Systems Sci. , vol.7 , pp. 377-391
    • Bandler, J.W.1    Charalambous, C.2
  • 4
    • 34250269539 scopus 로고
    • Acceleration of the least pth algorithm for minimax optimization with engineering applications
    • C. CHARALAMBOUS, Acceleration of the least pth algorithm for minimax optimization with engineering applications, Math. Programming, 17 (1979), pp. 270-297.
    • (1979) Math. Programming , vol.17 , pp. 270-297
    • Charalambous, C.1
  • 6
    • 0000143851 scopus 로고
    • A smooth method for the finite minimax problem
    • G. DI PILLO, L. GRIPPO, AND S. LUCIDI, A smooth method for the finite minimax problem, Math. Programming, 60 (1993), pp. 187-214.
    • (1993) Math. Programming , vol.60 , pp. 187-214
    • Di Pillo, G.1    Grippo, L.2    Lucidi, S.3
  • 7
    • 0000748472 scopus 로고
    • A regularization method for solving the finite convex min-max problem
    • C. GÍGOLA AND S. GOMEZ, A regularization method for solving the finite convex min-max problem, SIAM J. Numer. Anal., 27 (1990), pp. 1621-1634.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1621-1634
    • Gígola, C.1    Gomez, S.2
  • 8
    • 0242667172 scopus 로고    scopus 로고
    • Optimization by direct search: New perspectives on some classical and modern methods
    • T. G. KOLDA, R. M. LEWIS, AND V. TORCZON, Optimization by direct search: New perspectives on some classical and modern methods, SIAM Rev., 45 (2003), pp. 385-482.
    • (2003) SIAM Rev. , vol.45 , pp. 385-482
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.3
  • 9
    • 25344455726 scopus 로고    scopus 로고
    • Stationarity results for generating set search for linearly constrained optimization
    • Tech. report SAND2003-8550, Sandia National Laboratories, Livermore, CA, submitted
    • T. G. KOLDA, R. M. LEWIS, AND V. TORCZON, Stationarity Results for Generating Set Search for Linearly Constrained Optimization, Tech. report SAND2003-8550, Sandia National Laboratories, Livermore, CA, 2003, SIAM J. Optim., submitted.
    • (2003) SIAM J. Optim.
    • Kolda, T.G.1    Lewis, R.M.2    Torczon, V.3
  • 10
    • 0034412352 scopus 로고    scopus 로고
    • Pattern search methods for linearly constrained minimization
    • R. M. LEWIS AND V. TORCZON, Pattern search methods for linearly constrained minimization, SIAM J. Optim., 10 (2000), pp. 917-941.
    • (2000) SIAM J. Optim. , vol.10 , pp. 917-941
    • Lewis, R.M.1    Torczon, V.2
  • 11
    • 84953019372 scopus 로고
    • An entropy-based aggregate method for minimax optimization
    • X. LI, An entropy-based aggregate method for minimax optimization, Eng. Optim., 18 (1992), pp. 277-285.
    • (1992) Eng. Optim. , vol.18 , pp. 277-285
    • Li, X.1
  • 12
    • 0037289078 scopus 로고    scopus 로고
    • On the global convergence of derivative-free methods for unconstrained optimization
    • S. LUCIDI AND M. SCIANDRONE, On the global convergence of derivative-free methods for unconstrained optimization, SIAM J. Optim., 13 (2002), pp. 97-116.
    • (2002) SIAM J. Optim. , vol.13 , pp. 97-116
    • Lucidi, S.1    Sciandrone, M.2
  • 13
    • 0242598302 scopus 로고    scopus 로고
    • Objective-derivative-free methods for constrained optimization
    • S. LUCIDI, M. SCIANDRONE, AND P. TSENG, Objective-derivative-free methods for constrained optimization, Math. Program., 92 (2002), pp. 37-59.
    • (2002) Math. Program. , vol.92 , pp. 37-59
    • Lucidi, S.1    Sciandrone, M.2    Tseng, P.3
  • 15
    • 0021474328 scopus 로고
    • Nondifferentiable optimization via adaptive smoothing
    • D. Q. MAYNE AND E. POLAK, Nondifferentiable optimization via adaptive smoothing, J. Optim. Theory Appl., 43 (1984), pp. 601-614.
    • (1984) J. Optim. Theory Appl. , vol.43 , pp. 601-614
    • Mayne, D.Q.1    Polak, E.2
  • 16
    • 0344196668 scopus 로고    scopus 로고
    • Algorithms with adaptive smoothing for finite minimax problems
    • E. POLAK, J. O. ROYSET, AND R. S. WOMERSLEY, Algorithms with adaptive smoothing for finite minimax problems, J. Optim. Theory Appl., 119 (2003), pp. 459-484.
    • (2003) J. Optim. Theory Appl. , vol.119 , pp. 459-484
    • Polak, E.1    Royset, J.O.2    Womersley, R.S.3
  • 17
    • 0024106977 scopus 로고
    • Smooth optimization methods for minimax problems
    • R. A. POLYAK, Smooth optimization methods for minimax problems, SIAM J. Control Optim., 26 (1988), pp. 1274-1286.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1274-1286
    • Polyak, R.A.1
  • 18
    • 0042287704 scopus 로고    scopus 로고
    • On logarithmic smoothing of the maximum function
    • F. GUERRA VAZQUEZ, H. GUNZEL, AND H. T. JONGEN, On logarithmic smoothing of the maximum function, Ann. Oper. Res., 101 (2001), pp. 209-220.
    • (2001) Ann. Oper. Res. , vol.101 , pp. 209-220
    • Vazquez, F.G.1    Gunzel, H.2    Jongen, H.T.3
  • 19
    • 0035546518 scopus 로고    scopus 로고
    • Smoothing method for minimax problems
    • S. XU, Smoothing method for minimax problems, Comput. Optim. Appl., 20 (2001), pp. 267-279.
    • (2001) Comput. Optim. Appl. , vol.20 , pp. 267-279
    • Xu, S.1
  • 20
    • 0002359182 scopus 로고
    • A smoothing technique for min-max optimization
    • I. ZANG, A smoothing technique for min-max optimization, Math. Programming, 19 (1980), pp. 61-77.
    • (1980) Math. Programming , vol.19 , pp. 61-77
    • Zang, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.