Nonlinear separation in the image space with applications to penalty methods

DOI10.1080/00036811.2011.614603zbMath1267.65068OpenAlexW2087048059WikidataQ58304933 ScholiaQ58304933MaRDI QIDQ3143365

Giandomenico Mastroeni

Publication date: 29 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.614603

zbMATH Keywords

penalty methodsimage spacenonlinear separationcone constrained extremum problemnonlinear Lagrangian duality

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Programming in abstract spaces (90C48)

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Cites Work

• Duality and exact penalization for general augmented Lagrangians
• On the convergence of the exponential multiplier method for convex programming
• Separation approach for augmented lagrangians in Constrained nonconvex optimization
• Duality and penalization in optimization via an augmented Lagrangian function with applications
• On the image of a constrained extremum problem and some applications to the existence of a minimum
• Image space approach to penalty methods
• Regularity conditions for constrained extremum problems via image space
• Theorems of the alternative and optimality conditions
• An Exact Penalization Viewpoint of Constrained Optimization
• Variational Analysis
• Exact Penalty Functions in Constrained Optimization
• On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization

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