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Asymptotic surrogate constraint method and its convergence for a class of semi-infinite programming

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Abstract

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.

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References

  1. Polak, E., Mayne, D. Q., Higgins, J. E., On the extension of Newton’s method to semi- infinite minimax problems, SIAM J. Control Optim., 1992, 30(2):367–389.

    Article  MATH  Google Scholar 

  2. Zhou Guanglu, Wang Changyu, Sun Qingying, A globally convergent method for the semi-infinite minimax problem (in Chinese), OR Transactions, 1998, 2(3):42–51.

    Google Scholar 

  3. Tan Huanwen, Zhang Liwe, A Maximum Entropy Method and Its Applications (in Chinese), In: Yue, M. ed., Optimization Theory and Algorithms, Xidian University Publishers, Xi’an, 1994, 11–15.

    Google Scholar 

  4. Yuan Yaxiang, Numerical Methods for Nonlinear Programming (in Chinese), Shanghai Scientific & Technical Publishers, Shanghai, 1993.

    Google Scholar 

  5. Yuan Yaxiang, Sun Wenyu, Optimization Theory and Methods (in Chinese), China Science Press, Beijing, 1997.

    Google Scholar 

  6. Wan Zhongping, Zhong Shounan, The convergence of gradient sequences of the maximum entropy function (in Chinese), Systems Engineering-Theory & Practice, 1996, 16(7):68–70.

    Google Scholar 

  7. Wan Zhongping, Ji Changmin, An approximate iterative method of K-S function for constrained minimax problem (in Chinese), Mathematics in Economics, 1997, 14(2):104–107.

    Google Scholar 

  8. Shi Baochang, Hu Xinsheng, Maximum entropy method and nonmonotone curvilinear search method for constrained optimization (in Chinese), Math. Numer. Sinica, 1997, 19(3):241–256.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Dept. of Appl. Math., Wuhan Univ. of Hydraulic & Electric Engineering, 430072, Wuhan

    Wan Zhongping & Wu Guoming

  2. Dept. of Basic Course, Xinjiang Petroleum Institute, 83000, Ulumqi

    Wan Zhongping & Wu Guoming

Authors
  1. Wan Zhongping
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  2. Wu Guoming
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Zhongping, W., Guoming, W. Asymptotic surrogate constraint method and its convergence for a class of semi-infinite programming. Appl. Math. Chin. Univ. 14, 485–491 (1999). https://doi.org/10.1007/s11766-999-0080-4

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  • DOI: https://doi.org/10.1007/s11766-999-0080-4

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