Extending the Pennisi--McCormick Second-Order Sufficiency Theory for Nonlinear Programming to Infinite Dimensions

DOI10.1137/19M1239337zbMath1434.90194OpenAlexW2957894572MaRDI QIDQ5231689

Byrd, Richard H., Jorio Cocola, Richard A. Tapia

Publication date: 27 August 2019

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1239337

zbMATH Keywords

nonlinear programmingsecond-order optimality conditionsinfinite-dimensional spacesLagrange-multipliersMcCormick theory

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Cites Work

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• Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
• Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
• Second Order Conditions for Constrained Minima

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