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Generalized McCormick relaxations

Author Info

Listed author(s):
  • Joseph Scott

    ()

  • Matthew Stuber

    ()

  • Paul Barton

    ()

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    Abstract

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    File URL: http://hdl.handle.net/10.1007/s10898-011-9664-7
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    Article provided by Springer in its journal Journal of Global Optimization.

    Volume (Year): 51 (2011)
    Issue (Month): 4 (December)
    Pages: 569-606

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    Handle: RePEc:spr:jglopt:v:51:y:2011:i:4:p:569-606
    DOI: 10.1007/s10898-011-9664-7
    Contact details of provider: Web page: http://www.springer.com

    Order Information: Web: http://www.springer.com/business/operations+research/journal/10898

    Keywords: Convex relaxations; Global optimization; Optimal control; 49M20; 90C26;

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    Cited by:

    1. Milan Hladík, 2016. "An extension of the $$\alpha \hbox {BB}$$ α BB -type underestimation to linear parametric Hessian matrices," Journal of Global Optimization, Springer, vol. 64(2), pages 217-231, February.
    2. A. Tsoukalas & A. Mitsos, 2014. "Multivariate McCormick relaxations," Journal of Global Optimization, Springer, vol. 59(2), pages 633-662, July.
    3. Achim Wechsung & Paul Barton, 2014. "Global optimization of bounded factorable functions with discontinuities," Journal of Global Optimization, Springer, vol. 58(1), pages 1-30, January.
    4. Boukouvala, Fani & Misener, Ruth & Floudas, Christodoulos A., 2016. "Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO," European Journal of Operational Research, Elsevier, vol. 252(3), pages 701-727.
    5. Jaromił Najman & Alexander Mitsos, 2016. "Convergence analysis of multivariate McCormick relaxations," Journal of Global Optimization, Springer, vol. 66(4), pages 597-628, December.
    6. Achim Wechsung & Spencer Schaber & Paul Barton, 2014. "The cluster problem revisited," Journal of Global Optimization, Springer, vol. 58(3), pages 429-438, March.
    7. Mario Villanueva & Boris Houska & Benoît Chachuat, 2015. "Unified framework for the propagation of continuous-time enclosures for parametric nonlinear ODEs," Journal of Global Optimization, Springer, vol. 62(3), pages 575-613, July.
    8. Achim Wechsung & Joseph Scott & Harry Watson & Paul Barton, 2015. "Reverse propagation of McCormick relaxations," Journal of Global Optimization, Springer, vol. 63(1), pages 1-36, September.
    9. Joseph Scott & Paul Barton, 2013. "Improved relaxations for the parametric solutions of ODEs using differential inequalities," Journal of Global Optimization, Springer, vol. 57(1), pages 143-176, September.
    10. repec:spr:jglopt:v:67:y:2017:i:4:d:10.1007_s10898-016-0440-6 is not listed on IDEAS

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