2006•Journal of Chongqing College of EducationRequires access

Approximate augmented Lagrangian functions in nonlinear programming

Huaxian Chen

Abstract

In this paper,the author introduced an approximate augmented Lagrangian function in nonlinear programming,established dual mapping and the related dual problem of this augmented Lagrangian function and obtained the results of approximate strong duality and approximate weak duality of original problems.The results improved and generalized some known conclusions.

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Key concepts: Lagrangian, Augmented Lagrangian method, Duality (order theory), Nonlinear system, Mathematics, Applied mathematics, Dual (grammatical number), Nonlinear programming