Nonlinear Augmented Lagrangian and Duality Theory

DOI10.1287/moor.2013.0591zbMath1291.90248OpenAlexW1974522165MaRDI QIDQ5169689

Yang, Xinmin, Xiao Qi Yang, Chang-Yu Wang

Publication date: 11 July 2014

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/62c588b5813a4d4beb7a25c67ffa1f91823e053d

zbMATH Keywords

zero duality gapnonlinear augmented Lagrangianexact penalty representationgeneralized peak at zero

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (6)

A primal–dual penalty method via rounded weighted-ℓ₁ Lagrangian duality ⋮ Global saddle points of nonlinear augmented Lagrangian functions ⋮ Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle ⋮ Exact augmented Lagrangian duality for mixed integer linear programming ⋮ A unified approach to the global exactness of penalty and augmented Lagrangian functions. I: Parametric exactness ⋮ Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property

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