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Solving non-linear portfolio optimization problems with the primal-dual interior point method

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  • Gondzio, Jacek
  • Grothey, Andreas

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  • Gondzio, Jacek & Grothey, Andreas, 2007. "Solving non-linear portfolio optimization problems with the primal-dual interior point method," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1019-1029, September.
    • Handle: RePEc:eee:ejores:v:181:y:2007:i:3:p:1019-1029
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    References listed on IDEAS

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    1. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    2. Jacek Gondzio & Roy Kouwenberg, 2001. "High-Performance Computing for Asset-Liability Management," Operations Research, INFORMS, vol. 49(6), pages 879-891, December.
    3. NOËL, Marie-Cécile & SMEERS, Yves, 1987. "Nested decomposition of multistage nonlinear programs with recourse," LIDAM Reprints CORE 743, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Blomvall, Jorgen & Lindberg, Per Olov, 2002. "A Riccati-based primal interior point solver for multistage stochastic programming," European Journal of Operational Research, Elsevier, vol. 143(2), pages 452-461, December.
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    Cited by:

    1. Benita, Francisco & López-Ramos, Francisco & Nasini, Stefano, 2019. "A bi-level programming approach for global investment strategies with financial intermediation," European Journal of Operational Research, Elsevier, vol. 274(1), pages 375-390.
    2. Chen, Yu-Wang & Poon, Ser-Huang & Yang, Jian-Bo & Xu, Dong-Ling & Zhang, Dongxu & Acomb, Simon, 2012. "Belief rule-based system for portfolio optimisation with nonlinear cash-flows and constraints," European Journal of Operational Research, Elsevier, vol. 223(3), pages 775-784.
    3. Gondzio, Jacek, 2012. "Interior point methods 25 years later," European Journal of Operational Research, Elsevier, vol. 218(3), pages 587-601.
    4. Nguyen, Tri-Dung & Lo, Andrew W., 2012. "Robust ranking and portfolio optimization," European Journal of Operational Research, Elsevier, vol. 221(2), pages 407-416.
    5. Shijie Liu & Andrew Adams & Boulis M. Ibrahim, 2013. "Effects of Tax on Investment Portfolios and Financial Markets Under Mixed Integer Stochastic Programming," CFI Discussion Papers 1304, Centre for Finance and Investment, Heriot Watt University.
    6. Yu, Jing-Rung & Lee, Wen-Yi, 2011. "Portfolio rebalancing model using multiple criteria," European Journal of Operational Research, Elsevier, vol. 209(2), pages 166-175, March.
    7. Castro, Jordi & Escudero, Laureano F. & Monge, Juan F., 2023. "On solving large-scale multistage stochastic optimization problems with a new specialized interior-point approach," European Journal of Operational Research, Elsevier, vol. 310(1), pages 268-285.
    8. Xi Yang & Jacek Gondzio & Andreas Grothey, 2010. "Asset liability management modelling with risk control by stochastic dominance," Journal of Asset Management, Palgrave Macmillan, vol. 11(2), pages 73-93, June.

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