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Existence of solutions of saddle point problems on a class of convex sets
Abstract
In this paper, by we propose a globally convergent algorithm for solving saddle point problems on a class of convex sets. Under suitable assumptions, we obtain the global convergence results of this algorithm and thus obtain the existence of a smooth path. By tracking this path, we can get the solution point of saddle point problems. We also analyze the implementation of the algorithm proposed in this paper in practice.
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