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Global optimality conditions for cubic minimization problem with box or binary constraints

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  • Yanjun Wang
  • Zhian Liang

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  • Yanjun Wang & Zhian Liang, 2010. "Global optimality conditions for cubic minimization problem with box or binary constraints," Journal of Global Optimization, Springer, vol. 47(4), pages 583-595, August.
  • Handle: RePEc:spr:jglopt:v:47:y:2010:i:4:p:583-595
    DOI: 10.1007/s10898-009-9480-5
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    References listed on IDEAS

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    1. Z. Y. Wu & V. Jeyakumar & A. M. Rubinov, 2007. "Sufficient Conditions for Global Optimality of Bivalent Nonconvex Quadratic Programs with Inequality Constraints," Journal of Optimization Theory and Applications, Springer, vol. 133(1), pages 123-130, April.
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    Cited by:

    1. Z. Y. Wu & J. Quan & G. Q. Li & J. Tian, 2012. "Necessary Optimality Conditions and New Optimization Methods for Cubic Polynomial Optimization Problems with Mixed Variables," Journal of Optimization Theory and Applications, Springer, vol. 153(2), pages 408-435, May.
    2. Wu, Zhiyou & Tian, Jing & Quan, Jing & Ugon, Julien, 2014. "Optimality conditions and optimization methods for quartic polynomial optimization," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 968-982.
    3. V. Jeyakumar & G. Li & S. Srisatkunarajah, 2014. "Global optimality principles for polynomial optimization over box or bivalent constraints by separable polynomial approximations," Journal of Global Optimization, Springer, vol. 58(1), pages 31-50, January.
    4. Leonardo Lozano & David Bergman & J. Cole Smith, 2020. "On the Consistent Path Problem," Operations Research, INFORMS, vol. 68(6), pages 1913-1931, November.
    5. Xue-Gang Zhou & Xiao-Peng Yang & Bing-Yuan Cao, 2015. "Global optimality conditions for cubic minimization problems with cubic constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(3), pages 243-264, December.

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    1. Xue-Gang Zhou & Xiao-Peng Yang & Bing-Yuan Cao, 2015. "Global optimality conditions for cubic minimization problems with cubic constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(3), pages 243-264, December.
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    3. Wu, Zhiyou & Tian, Jing & Quan, Jing & Ugon, Julien, 2014. "Optimality conditions and optimization methods for quartic polynomial optimization," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 968-982.

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