Search for: [Abstract = "In this paper, the stability and regularity of the Lagrangian duality in convex maximization \(non\-convex minimization\) are considered. We present some convergence results of the DC \(Difference of Convex functions\) optimization algorithms which are based on DC duality and local optimality conditions for DC optimization. Various regularization techniques are studied in order to improve the quality \(robustness, stability, convergence rate\) of the DC algorithm \(DCA\). For solving MDS problems, sub\-gradient algorithms \(involving or not regularization techniques\) in DC optimization are presented. Some numerical applications for large\-scale problems are also provided."]

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