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Corrector-predictor methods for sufficient linear complementarity problems

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  • Filiz Gurtuna
  • Cosmin Petra
  • Florian Potra
  • Olena Shevchenko
  • Adrian Vancea

Abstract

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Suggested Citation

  • Filiz Gurtuna & Cosmin Petra & Florian Potra & Olena Shevchenko & Adrian Vancea, 2011. "Corrector-predictor methods for sufficient linear complementarity problems," Computational Optimization and Applications, Springer, vol. 48(3), pages 453-485, April.
    • Handle: RePEc:spr:coopap:v:48:y:2011:i:3:p:453-485
    DOI: 10.1007/s10589-009-9263-4
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    References listed on IDEAS

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    1. Sanjay Mehrotra, 1993. "Quadratic Convergence in a Primal-Dual Method," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 741-751, August.
    2. Shinji Mizuno & Michael J. Todd & Yinyu Ye, 1993. "On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 964-981, November.
    3. J. Frédéric Bonnans & Florian A. Potra, 1997. "On the Convergence of the Iteration Sequence of Infeasible Path Following Algorithms for Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 22(2), pages 378-407, May.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. G. Wang & C. Yu & K. Teo, 2014. "A full-Newton step feasible interior-point algorithm for $$P_*(\kappa )$$ P ∗ ( κ ) -linear complementarity problems," Journal of Global Optimization, Springer, vol. 59(1), pages 81-99, May.
    2. Soodabeh Asadi & Zsolt Darvay & Goran Lesaja & Nezam Mahdavi-Amiri & Florian Potra, 2020. "A Full-Newton Step Interior-Point Method for Monotone Weighted Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 186(3), pages 864-878, September.
    3. Behrouz Kheirfam, 2014. "A New Complexity Analysis for Full-Newton Step Infeasible Interior-Point Algorithm for Horizontal Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 853-869, June.
    4. Behrouz Kheirfam, 2015. "A Corrector–Predictor Path-Following Method for Convex Quadratic Symmetric Cone Optimization," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 246-260, January.
    5. Florian A. Potra, 2016. "Sufficient weighted complementarity problems," Computational Optimization and Applications, Springer, vol. 64(2), pages 467-488, June.
    6. H. Mansouri & M. Pirhaji, 2013. "A Polynomial Interior-Point Algorithm for Monotone Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 451-461, May.

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