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ASYMPTOTIC SURROGATE CONSTRAINT METHOD AND ITS CONVERGENCE FOR A CLASS OF SEMI-INFINITE PROGRAMMING 被引量：2

ASYMPTOTIC SURROGATE CONSTRAINT METHOD AND ITS CONVERGENCE FOR A CLASS OF SEMI\|INFINITE PROGRAMMING
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摘要 A class of constrained semi\|infinite minimax problem is transformed into a simple constrained problem, by means of discretization decomposition and maximum entropy method, making use of surrogate constraint. The paper deals with the convergence of this asymptotic approach method. A class of constrained semi\|infinite minimax problem is transformed into a simple constrained problem, by means of discretization decomposition and maximum entropy method, making use of surrogate constraint. The paper deals with the convergence of this asymptotic approach method.
作者 Wan Zhongping\ Wu Guoming
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1999年第4期485-491,共7页 高校应用数学学报（英文版）（B辑）
关键词 Sem i-infinite m inim ax program m ing discretization decom position m ethod m axim um en-tropy m ethod surrogate constraint convergence Sem i-infinite m inim ax program m ing,discretization decom position m ethod,m axim um en-tropy m ethod,surrogate constraint,convergence
分类号 O171 [理学—基础数学]
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同被引文献12

  • 1Gustafson S A, Kortanek K O. Semi-infinite programming and applications[C]//Bachem M, et al. Mathematical programming: The state and art. Berlin: Springer-Verlag, 1983, 132-157.
  • 2Lai H C, Wu S Y. On linear semi-infinite programming problems: an algorithm[J]. Numerical functional analysis and optimization, 1992, 13: 287-304.
  • 3Hettich R, Kortanek K O. Semi-infinite programming: theory, method and applications[J]. SIAM Review, 1993, 35:380-429.
  • 4Fang S C, Wu S Y. An inexact approach to solving linear semi-infinite programming problems[J]. Optimization, 1994,28: 291-299.
  • 5Fang S C, Lin C J, Wu S Y. On solving convex quadratic semi-infinite programming problems[J]. Optimization, 1994, 31:107-125.
  • 6Luenberger D G. Linear and nonlinear programming[M].Massachusetts : Addison-Wesley, Reading, 1984.
  • 7Glashoff K, Gustafson S A. Linear optimization and approximation[M]. New York: Springer-Verlag, 1983.
  • 8Ferris M C, et al. An interior-point algorithm for semi-infinite linear programming[J]. Mathematical programming, 1989, 43: 257-276.
  • 9杜廷松,费浦生,张明望.基于松弛策略解半无限规划模型的修正算法[J].系统工程,2007,25(6):106-109. 被引量：1
  • 10杨洪礼,贺国平.半无限规划的一阶最优性条件和牛顿型算法[J].数学的实践与认识,2008,38(7):117-122. 被引量：2

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Applied Mathematics(A Journal of Chinese Universities)
1999年 第4期

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