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A Mizuno-Todd-Ye type predictor-corrector algorithm for sufficient linear complementarity problems

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  • Illes, Tibor
  • Nagy, Marianna

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  • Illes, Tibor & Nagy, Marianna, 2007. "A Mizuno-Todd-Ye type predictor-corrector algorithm for sufficient linear complementarity problems," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1097-1111, September.
    • Handle: RePEc:eee:ejores:v:181:y:2007:i:3:p:1097-1111
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    References listed on IDEAS

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    1. 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.
    2. F. A. Potra & R. Sheng, 1998. "Superlinearly Convergent Infeasible-Interior-Point Algorithm for Degenerate LCP," Journal of Optimization Theory and Applications, Springer, vol. 97(2), pages 249-269, May.
    3. Potra, Florian A., 2002. "The Mizuno-Todd-Ye algorithm in a larger neighborhood of the central path," European Journal of Operational Research, Elsevier, vol. 143(2), pages 257-267, December.
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    Cited by:

    1. Tibor Illés & Petra Renáta Rigó & Roland Török, 2024. "Unified Approach of Interior-Point Algorithms for $$P_*(\kappa )$$ P ∗ ( κ ) -LCPs Using a New Class of Algebraically Equivalent Transformations," Journal of Optimization Theory and Applications, Springer, vol. 202(1), pages 27-49, July.
    2. Zsolt Darvay & Petra Renáta Takács, 2018. "Large-step interior-point algorithm for linear optimization based on a new wide neighbourhood," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(3), pages 551-563, September.
    3. 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.
    4. Darvay, Zsolt & Illés, Tibor & Rigó, Petra Renáta, 2022. "Predictor-corrector interior-point algorithm for P*(κ)-linear complementarity problems based on a new type of algebraic equivalent transformation technique," European Journal of Operational Research, Elsevier, vol. 298(1), pages 25-35.
    5. Zsolt Darvay & Petra Renáta Rigó, 2024. "New Predictor–Corrector Algorithm for Symmetric Cone Horizontal Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 202(1), pages 50-75, July.
    6. Marianna E.-Nagy & Tibor Illés & Janez Povh & Anita Varga & Janez Žerovnik, 2024. "Sufficient Matrices: Properties, Generating and Testing," Journal of Optimization Theory and Applications, Springer, vol. 202(1), pages 204-236, July.

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