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Alternating direction method for bi-quadratic programming

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  • Sheng-Long Hu
  • Zheng-Hai Huang

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  • Sheng-Long Hu & Zheng-Hai Huang, 2011. "Alternating direction method for bi-quadratic programming," Journal of Global Optimization, Springer, vol. 51(3), pages 429-446, November.
    • Handle: RePEc:spr:jglopt:v:51:y:2011:i:3:p:429-446
    DOI: 10.1007/s10898-010-9635-4
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    References listed on IDEAS

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    1. Jos F. Sturm & Shuzhong Zhang, 2003. "On Cones of Nonnegative Quadratic Functions," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 246-267, May.
    2. Immanuel Bomze & Chen Ling & Liqun Qi & Xinzhen Zhang, 2012. "Standard bi-quadratic optimization problems and unconstrained polynomial reformulations," Journal of Global Optimization, Springer, vol. 52(4), pages 663-687, April.
    3. Alexander Shapiro & Jie Sun, 2004. "Some Properties of the Augmented Lagrangian in Cone Constrained Optimization," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 479-491, August.
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    Cited by:

    1. Yuning Yang & Qingzhi Yang & Liqun Qi, 2014. "Approximation Bounds for Trilinear and Biquadratic Optimization Problems Over Nonconvex Constraints," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 841-858, December.
    2. Haibin Chen & Hongjin He & Yiju Wang & Guanglu Zhou, 2022. "An efficient alternating minimization method for fourth degree polynomial optimization," Journal of Global Optimization, Springer, vol. 82(1), pages 83-103, January.

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