A Proximal Alternating Direction Method of Multiplier for Linearly Constrained Nonconvex Minimization

Zhi-Quan Luo
Zhi-Quan Luo

SIAM JOURNAL ON OPTIMIZATION, pp. 2272-2302, 2020.

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Abstract:

Consider the minimization of a nonconvex differentiable function over a bounded polyhedron. A popular primal-dual first -order method for this problem is to perform a gradient projection iteration for the augmented Lagrangian function and then update the dual multiplier vector using the constraint residual. However, numerical examples sho...More

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