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An Interior-Point algorithm for Nonlinear Minimax Problems


  • E. Obasanjo
  • G. Tzallas-Regas
  • B. Rustem


We present a primal-dual interior-point method for constrained nonlinear, discrete minimax problems where the objective functions and constraints are not necessarily convex. The algorithm uses two merit functions to ensure progress toward the points satisfying the first-order optimality conditions of the original problem. Convergence properties are described and numerical results provided.

Suggested Citation

  • E. Obasanjo & G. Tzallas-Regas & B. Rustem, 2009. "An Interior-Point algorithm for Nonlinear Minimax Problems," Working Papers 019, COMISEF.
  • Handle: RePEc:com:wpaper:019

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    1. Koopman, Siem Jan & Lucas, André, 2008. "A Non-Gaussian Panel Time Series Model for Estimating and Decomposing Default Risk," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 510-525.
    2. McNeil, Alexander J. & Wendin, Jonathan P., 2007. "Bayesian inference for generalized linear mixed models of portfolio credit risk," Journal of Empirical Finance, Elsevier, vol. 14(2), pages 131-149, March.
    3. Reinaldo B. Arellano-Valle & Adelchi Azzalini, 2006. "On the Unification of Families of Skew-normal Distributions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 33(3), pages 561-574.
    4. Rosch, Daniel, 2005. "An empirical comparison of default risk forecasts from alternative credit rating philosophies," International Journal of Forecasting, Elsevier, vol. 21(1), pages 37-51.
    5. Cornaglia, Anna & Morone, Marco, 2009. "Rating philosophy and dynamic properties of internal rating systems: A general framework and an application to backtesting," MPRA Paper 14711, University Library of Munich, Germany.
    6. Crouhy, Michel & Galai, Dan & Mark, Robert, 2000. "A comparative analysis of current credit risk models," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 59-117, January.
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    Discrete min-max; Constrained nonlinear programming; Primal-dual interior-point methods; Stepsize strategies.;

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