2023
DOI: 10.1371/journal.pone.0274497
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The global convergence properties of an adaptive QP-free method without a penalty function or a filter for minimax optimization

Abstract: In this paper, we proposed an adaptive QP-free method without a penalty function or a filter for minimax optimization. In each iteration, solved two linear systems of equations constructed from Lagrange multipliers and KKT-conditioned NCP functions. Based on the work set, the computational scale is further reduced. Instead of the filter structure, we adopt a nonmonotonic equilibrium mechanism with an adaptive parameter adjusted according to the result of each iteration. Feasibility of the algorithm are given, … Show more

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