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Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems

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  • V. Jeyakumar
  • Guoyin Li

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  • V. Jeyakumar & Guoyin Li, 2011. "Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems," Journal of Global Optimization, Springer, vol. 49(1), pages 1-14, January.
    • Handle: RePEc:spr:jglopt:v:49:y:2011:i:1:p:1-14
    DOI: 10.1007/s10898-009-9518-8
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    References listed on IDEAS

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    1. V. Jeyakumar & D.T. LUC, 2008. "Nonsmooth Vector Functions and Continuous Optimization," Springer Optimization and Its Applications, Springer, number 978-0-387-73717-1, December.
    2. Vaithilingam Jeyakumar & Zhiyou Wu, 2007. "Conditions For Global Optimality Of Quadratic Minimization Problems With Lmi Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 149-160.
    3. Wenyu Sun & Ya-xiang Yuan, 2001. "A Conic Trust-Region Method for Nonlinearly Constrained Optimization," Annals of Operations Research, Springer, vol. 103(1), pages 175-191, March.
    4. V. Jeyakumar, 2008. "Constraint Qualifications Characterizing Lagrangian Duality in Convex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 136(1), pages 31-41, January.
    5. NESTEROV, Yu. & WOLKOWICZ, Henry & YE, Yinyu, 2000. "Semidefinite programming relaxations of nonconvex quadratic optimization," LIDAM Reprints CORE 1471, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Fabián Flores-Bazán & Giandomenico Mastroeni, 2022. "First- and Second-Order Optimality Conditions for Quadratically Constrained Quadratic Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 118-138, June.
    2. 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.
    3. H. Tuy & H. Tuan, 2013. "Generalized S-Lemma and strong duality in nonconvex quadratic programming," Journal of Global Optimization, Springer, vol. 56(3), pages 1045-1072, July.

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