Interpretation of interior point methods as damped Newton methods

نویسندگان

  • Paul Armand
  • Joël Benoist
  • Dominique Orban
چکیده

We propose a unified framework for the update of the barrier parameter in interior-point methods for nonlinear programming. The original primal-dual system is augmented to incorporate explicitly an updating function. We analyze local convergence properties and recover known updating strategies as special cases. We report numerical experiments on nonlinear problems and compare our results to a state-of-the-art interior-point implementation.

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تاریخ انتشار 2005