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An SQP-Type Proximal Gradient Method for Composite Optimization Problems with Equality Constraints
Pinzheng Wei and Weihong Yang

J. Comp. Math. DOI: 10.4208/jcm.2404-m2023-0128

Publication Date : 2024-06-13

  • Abstract

In this paper, we present an SQP-type proximal gradient method (SQP-PG) for composite optimization problems with equality constraints. At each iteration, SQP-PG solves a subproblem to get the search direction, and takes an exact penalty function as the merit function to determine if the trial step is accepted. The global convergence of the SQP-PG method is proved and the iteration complexity for obtaining an $\epsilon$-stationary point is analyzed. We also establish the local linear convergence result of the SQP-PG method under the second-order sufficient condition. Numerical results demonstrate that, compared to the state-of-the-art algorithms, SQP-PG is an effective method for equality constrained composite optimization problems.

  • Copyright

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