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High-order Necessary Conditions for Optimality for Abnormal Points

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Encyclopedia of Optimization

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Keywords

A High-Order Formulation of the Dubovitskii–Milyutin Theorem

High-Order Directional Derivatives

High-Order Tangent Cones

High-Order Cones of Decrease

High-Order Feasible Cones to Inequality Constraints Given by Smooth Functionals

High-Order Feasible Cones to Closed Convex Inequality Constraints

Generalized Necessary Conditions for Optimality

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References

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References

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Author information

Authors and Affiliations

  1. Department Math. and Statist., Southern Illinois University at Edwardsville, Edwardsville, USA

    Urszula Ledzewicz

  2. Department Systems Sci. and Math., Washington University, St. Louis, USA

    Heinz Schättler

Authors
  1. Urszula Ledzewicz
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  2. Heinz Schättler
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Ledzewicz, U., Schättler, H. (2008). High-order Necessary Conditions for Optimality for Abnormal Points . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_266

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