On Second-Order Optimality Conditions for Nonlinear Programming

  • Roberto Andreani
  • José Mario Martínez
  • María Laura Schuverdt
    • Categories Constrained Nonlinear Optimization Tags , Short URL: https://optimization-online.org/?p=10029

    Necessary Optimality Conditions for Nonlinear Programming are discussed in the present research. A new Second-Order condition is given, which depends on a weak constant rank constraint requirement. We show that practical and publicly available algorithms (www.ime.usp.br/~egbirgin/tango) of Augmented Lagrangian type converge, after slight modifications, to stationary points defined by the new condition.

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