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Modified Lagrangian and Least Root Approaches for General Nonlinear Optimization Problems
Authors:W?Oettli  Email author" target="_blank">X?Q?YangEmail author
Institution:1.Fakult?t für Mathematik und Informatik,Universit?t Mannheim,Mannheim,Germany;2.Department of Applied Mathematics,Hong Kong Polytechnic University,Kowloon,Hong Kong, China
Abstract:In this paper we study nonlinear Lagrangian methods for optimization problems with side constraints. Nonlinear Lagrangian dual problems are introduced and their relations with the original problem are established. Moreover, a least root approach is investigated for these optimization problems.
Keywords:Generalized Lagrangian  Zero duality gap  least root approach
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