非凸优化问题的二元算法:对非线性斯托克斯问题的应用

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-10-01 DOI:10.1016/S0764-4442(01)02130-9

Nadia Raïssi, Mustapha Serhani

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摘要

应用对偶方法求解一类非凸优化问题。我们构造了一个收敛于∂-临界点的算法，并建立了与原始问题临界点的关系。将该方法应用于非线性Stokes问题，得到一个弱解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Algorithme de dualité pour un problème d'optimisation non convexe : application à un problème de Stokes non linéaire∗

We apply a duality method for solving a nonconvex optimization problem. We construct an algorithm converging to a ∂-critical point and we establish the relationship with critical point of the primal problem. The application of this method to a nonlinear Stokes problem leads to a weak solution.

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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

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