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A New Unified Path to Smoothing Nonsmooth Exact Penalty Function for the Constrained Optimization

Bingzhuang Liu

Abstract: We propose a new unified path to approximately smoothing the nonsmooth exact penalty function in this paper. Based on the new smooth penalty function, we give a penalty algorithm to solve the constrained optimization problem, and discuss the convergence of the algorithm under mild conditions.
Keywords: Penalty Function / Constrained Optimization / Smoothing Method / Optimal Solution

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