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Erschienen in:
30.08.2023 | Original Research
Global convergence of a class new smooth penalty algorithm for constrained optimization problem
Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 5/2023
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Abstract
In this paper, a class of smooth penalty functions is proposed for constrained optimization problem. It is put forward based on \(L_p\), a smooth function of a class of exact penalty function \({\ell _p}~\left( {p \in (0,1]} \right) \). Based on the class of penalty functions, a penalty algorithm is presented. Under the very weak condition, a perturbation theorem is set up. The global convergence of the algorithm is derived. This result generalizes some existing conclusions. Finally, numerical experiments on two examples demonstrate the effectiveness and efficiency of our algorithm.