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From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality

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Nonsmooth Optimization and Related Topics

Part of the book series: Ettore Majorana International Science Series ((EMISS,volume 43))

Abstract

Nonconvex minimization problems form an old subject which has received a growing interest in the recent years. The main incentive comes from modelling in Applied Mathematics and Operations Research, where one may be faced with optimization problems like: minimizing (globally) a difference of convex functions, maximizing a convex function over a convex set, minimizing an indefinite quadratic form over a polyhedral convex set, etc.

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Hiriart-Urruty, JB. (1989). From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality. In: Clarke, F.H., Dem’yanov, V.F., Giannessi, F. (eds) Nonsmooth Optimization and Related Topics. Ettore Majorana International Science Series, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6019-4_13

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  • DOI: https://doi.org/10.1007/978-1-4757-6019-4_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-6021-7

  • Online ISBN: 978-1-4757-6019-4

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