Duality in nonlinear programs using augmented Lagrangian functions

DOI10.1016/0022-247X(87)90236-8zbMath0621.90072MaRDI QIDQ1090612

A. Gonen, Mordecai Avriel

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nonconvex optimizationgeneralized Lagrangianaugmented multiplier function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Duality theory (optimization) (49N15)

Related Items

Duality in nonlinear multiobjective programming using augmented Lagrangian functions, Weak-subdifferentials for vector functions and applications to multiobjective semi-infinite optimization problems

Cites Work

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• Second- and higher-order duality in nonlinear programming
• Unconstrained Lagrangians in Nonlinear Programming
• An elementary survey of general duality theory in mathematical programming
• Combined Primal–Dual and Penalty Methods for Convex Programming
• An Extension of Duality-Stability Relations to Nonconvex Optimization Problems
• HIERARCHICAL SYSTEMS AND FUZZY‐SET THEORY
• On $\Phi $-Convexity in Extremal Problems
• A Nonlinear Duality Theorem Without Convexity
• Extensions of Lagrange Multipliers in Nonlinear Programming
• A new method for the optimization of a nonlinear function subject to nonlinear constraints
• Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming