On the local quadratic convergence of the primal-dual augmented Lagrangian method

نویسنده

  • Roman A. Polyak
چکیده

We consider a Primal-Dual Augmented Lagrangian (PDAL) method for optimization problems with equality constraints. Each step of the PDAL requires solving the Primal-Dual linear system of equations. We show that under the standard second-order optimality condition the PDAL method generates a sequence, which locally converges to the primal-dual solution with quadratic rate.

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عنوان ژورنال:
  • Optimization Methods and Software

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2009