메뉴 건너뛰기




Volumn 20, Issue 6, 2010, Pages 2959-2977

A new exchange method for convex semi-infinite programming

Author keywords

Adding dropping rules; Complex approximation theory; Convex semi infinite programming; Exchange methods; Filter design

Indexed keywords

ADDING-DROPPING RULES; COMPLEX APPROXIMATION THEORY; EXCHANGE METHODS; FILTER DESIGNS; SEMI INFINITE PROGRAMMING;

EID: 79251504635     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/090767133     Document Type: Article
Times cited : (58)

References (33)
  • 1
    • 67649994303 scopus 로고    scopus 로고
    • Penalty and smoothing methods for convex semi-infinite programming
    • A. Auslender, M. A. Goberna, and M. A. López, Penalty and smoothing methods for convex semi-infinite programming, Math. Oper. Res., 34 (2009), pp. 303-319.
    • (2009) Math. Oper. Res. , vol.34 , pp. 303-319
    • Auslender, A.1    Goberna, M.A.2    López, M.A.3
  • 2
    • 84966241695 scopus 로고
    • Linear Chebyshev approximation of complexvalued functions
    • I. Barrodale, L. M. Delves, and J. C. Mason, Linear Chebyshev approximation of complexvalued functions, Math. Comp., 32 (1978), pp. 853-863.
    • (1978) Math. Comp. , vol.32 , pp. 853-863
    • Barrodale, I.1    Delves, L.M.2    Mason, J.C.3
  • 3
    • 24044435526 scopus 로고    scopus 로고
    • An accelerated central cutting plane algorithm for linear semi-infinite programming
    • B. Betrò, An accelerated central cutting plane algorithm for linear semi-infinite programming, Math. Program., 101 (2004), pp. 479-495.
    • (2004) Math. Program. , vol.101 , pp. 479-495
    • Betrò, B.1
  • 5
    • 0022093363 scopus 로고
    • A projected Lagrangian algorithm for semi-infinite programming
    • I. D. Coope and G. A. Watson, A projected Lagrangian algorithm for semi-infinite programming, Math. Program., 32 (1985), pp. 337-356.
    • (1985) Math. Program. , vol.32 , pp. 337-356
    • Coope, I.D.1    Watson, G.A.2
  • 6
    • 0034248384 scopus 로고    scopus 로고
    • The dual parameterization approach to optimal least square FIR filter design subject to maximum error constraints
    • H. H. Dam, K. L. Teo, S. Nordebo, and A. Cantoni, The dual parameterization approach to optimal least square FIR filter design subject to maximum error constraints, IEEE Trans. Signal Process., 48 (2000), pp. 2314-2320.
    • (2000) IEEE Trans. Signal Process. , vol.48 , pp. 2314-2320
    • Dam, H.H.1    Teo, K.L.2    Nordebo, S.3    Cantoni, A.4
  • 9
    • 84966227601 scopus 로고
    • A new method for Chebyshev approximation of complex-valued functions
    • K. Glashoff and K. Roleff, A new method for Chebyshev approximation of complex-valued functions, Math. Comp., 36 (1981), pp. 233-239.
    • (1981) Math. Comp. , vol.36 , pp. 233-239
    • Glashoff, K.1    Roleff, K.2
  • 11
    • 0036883798 scopus 로고    scopus 로고
    • Linear semi-infinite programming theory: An updated survey
    • M. A. Goberna and M. A. López, Linear semi-infinite programming theory: An updated survey, European J. Oper. Res., 143 (2002), pp. 390-405.
    • (2002) European J. Oper. Res. , vol.143 , pp. 390-405
    • Goberna, M.A.1    López, M.A.2
  • 12
    • 0018985387 scopus 로고
    • An improved algorithm for optimization problems with functional inequality constraints
    • C. Gonzaga, E. Polak, and R. Trahan, An improved algorithm for optimization problems with functional inequality constraints, IEEE Trans. Automat. Control, 25 (1980), pp. 49-54.
    • (1980) IEEE Trans. Automat. Control , vol.25 , pp. 49-54
    • Gonzaga, C.1    Polak, E.2    Trahan, R.3
  • 13
    • 0027657329 scopus 로고
    • Semi-infinite programming: Theory, methods and applications
    • R. Hettich and K. O. Kortanek, Semi-infinite programming: Theory, methods and applications, SIAM Rev., 35 (1993), pp. 380-429.
    • (1993) SIAM Rev. , vol.35 , pp. 380-429
    • Hettich, R.1    Kortanek, K.O.2
  • 14
    • 0022700578 scopus 로고
    • An implementation of a discretization method for semi-infinite programming
    • R. Hettich, An implementation of a discretization method for semi-infinite programming, Math. Program., 34 (1986), pp. 354-361.
    • (1986) Math. Program. , vol.34 , pp. 354-361
    • Hettich, R.1
  • 15
    • 0025383463 scopus 로고
    • A note on an implementation of a method for quadratic semiinfinite programming
    • R. Hettich and G. Gramlich, A note on an implementation of a method for quadratic semiinfinite programming, Math. Program., 46 (1990), pp. 249-254.
    • (1990) Math. Program. , vol.46 , pp. 249-254
    • Hettich, R.1    Gramlich, G.2
  • 17
    • 0342754710 scopus 로고
    • A central cutting plane algorithm for convex semi-infinite programming problems
    • K. O. Kortanek and H. No, A central cutting plane algorithm for convex semi-infinite programming problems, SIAM J. Optim., 3 (1993), pp. 901-918.
    • (1993) SIAM J. Optim. , vol.3 , pp. 901-918
    • Kortanek, K.O.1    No, H.2
  • 19
    • 0001111787 scopus 로고
    • On linear semi-infinite programming problems-an algorithm
    • H.-C. Lai and S.-Y. Wu, On linear semi-infinite programming problems-an algorithm, Numer. Funct. Anal. Optim., 13 (1992), pp. 287-304.
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 287-304
    • Lai, H.-C.1    Wu, S.-Y.2
  • 20
    • 0018056226 scopus 로고
    • An algorithm of successive minimization in convex programming
    • P. J. Laurent and C. Carasso, An algorithm of successive minimization in convex programming, Numer. Anal., 12 (1978), pp. 377-400.
    • (1978) Numer. Anal. , vol.12 , pp. 377-400
    • Laurent, P.J.1    Carasso, C.2
  • 22
    • 33750483512 scopus 로고    scopus 로고
    • 2nd ed., Kluwer Academic Publishers, Boston/Dordrecht/London
    • D. G. Luenberger, Linear and Nonlinear Programming, 2nd ed., Kluwer Academic Publishers, Boston/Dordrecht/London, 2004.
    • (2004) Linear and Nonlinear Programming
    • Luenberger, D.G.1
  • 23
    • 0021532016 scopus 로고
    • On the use of ?-most-active constraints in an exact penalty function method for nonlinear optimization
    • H. Mine, M. Fukushima, and Y. Tanaka, On the use of ?-most-active constraints in an exact penalty function method for nonlinear optimization, IEEE Trans. Automat. Control, 29 (1984), pp. 1040-1042.
    • (1984) IEEE Trans. Automat. Control , vol.29 , pp. 1040-1042
    • Mine, H.1    Fukushima, M.2    Tanaka, Y.3
  • 24
    • 0030242545 scopus 로고    scopus 로고
    • Numerical experiments in semi-infinite programming
    • C. J. Price and I. D. Coope, Numerical experiments in semi-infinite programming, Comput. Optim. Appl., 6 (1996), pp. 169-189.
    • (1996) Comput. Optim. Appl. , vol.6 , pp. 169-189
    • Price, C.J.1    Coope, I.D.2
  • 25
    • 34250073811 scopus 로고
    • On the use of consistent approximations in the solution of semi-infinite optimization and optimal control problems
    • E. Polak, On the use of consistent approximations in the solution of semi-infinite optimization and optimal control problems, Math. Program., 62 (1993), pp. 385-414.
    • (1993) Math. Program. , vol.62 , pp. 385-414
    • Polak, E.1
  • 26
    • 0029386348 scopus 로고
    • The design of FIR filter in the complex plane by convex optimization
    • A. Potchinkov and R. Reemsten, The design of FIR filter in the complex plane by convex optimization, Signal Process., 46 (1995), pp. 127-146.
    • (1995) Signal Process. , vol.46 , pp. 127-146
    • Potchinkov, A.1    Reemsten, R.2
  • 27
    • 0000385980 scopus 로고    scopus 로고
    • Numerical methods for semi-infinite programming: A survey
    • R. Reemsten and J. Rückmann, eds., Kluwer Academic Publishers, Boston
    • R. Reemsten and S. Görner, Numerical methods for semi-infinite programming: A survey, in Semi-Infinite Programming, R. Reemsten and J. Rückmann, eds., Kluwer Academic Publishers, Boston, 1998, pp. 195-275.
    • (1998) Semi-Infinite Programming , pp. 195-275
    • Reemsten, R.1    Görner, S.2
  • 28
    • 1642417653 scopus 로고    scopus 로고
    • Solving semi-infinite optimization problems with interior point techniques
    • O. Stein and G. Still, Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control Optim., 42 (2003), pp. 769-788.
    • (2003) SIAM J. Control Optim. , vol.42 , pp. 769-788
    • Stein, O.1    Still, G.2
  • 29
    • 0347709479 scopus 로고    scopus 로고
    • Discretization in semi-infinite programming: The rate of convergence
    • G. Still, Discretization in semi-infinite programming: The rate of convergence, Math. Program., 91 (2001), pp. 53-69.
    • (2001) Math. Program. , vol.91 , pp. 53-69
    • Still, G.1
  • 30
    • 0034561293 scopus 로고    scopus 로고
    • Computational discretization algorithms for functional inequality constrained optimization
    • K. L. Teo, X. Q. Yang, and L. S. Jennings, Computational discretization algorithms for functional inequality constrained optimization, Ann. Oper. Res., 28 (2000), pp. 215-234.
    • (2000) Ann. Oper. Res. , vol.28 , pp. 215-234
    • Teo, K.L.1    Yang, X.Q.2    Jennings, L.S.3
  • 31
    • 31244438497 scopus 로고    scopus 로고
    • An adaptive dual parametrization algorithm for quadratic semi-infinite programming problems
    • Y. Liu and K. L. Teo, An adaptive dual parametrization algorithm for quadratic semi-infinite programming problems, J. Global Optim., 24 (2002), pp. 205-217.
    • (2002) J. Global Optim. , vol.24 , pp. 205-217
    • Liu, Y.1    Teo, K.L.2
  • 32
    • 0001037606 scopus 로고
    • A cutting plane method for quadratic semi-infinite programming problems
    • R. Tichatschke and V. Nebeling, A cutting plane method for quadratic semi-infinite programming problems, Optimization, 19 (1988), pp. 803-817.
    • (1988) Optimization , vol.19 , pp. 803-817
    • Tichatschke, R.1    Nebeling, V.2
  • 33
    • 0010671550 scopus 로고
    • Numerical experiments with globally convergent methods for semi-infinite programming problems
    • Semi-infinite Programming and Applications, A.V. Fiacco, K. O. Kortanek, eds., Springer, New York
    • G. A. Watson, Numerical experiments with globally convergent methods for semi-infinite programming problems, in Semi-infinite Programming and Applications, Lecture Notes in Econ. and Math. Systems 215, A.V. Fiacco, K. O. Kortanek, eds., Springer, New York, 1983, pp. 193-205.
    • (1983) Lecture Notes in Econ. and Math. Systems , vol.215 , pp. 193-205
    • Watson, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.