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Lower subdifferentiability of quadratic functions (1993)

Martínez-Legaz, J. E. ; Romano-Rodríguez, S.

Springer

Mathematical programming 60 (1993), S. 93-113

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ISSN: 1436-4646

Keywords: 26B25 ; 90C20 ; Quadratic functions ; quasiconvexity ; subdifferentiability ; cutting plane methods

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract In this paper we characterize those quadratic functions whose restrictions to a convex set are boundedly lower subdifferentiable and, for the case of closed hyperbolic convex sets, those which are lower subdifferentiable but not boundedly lower subdifferentiable. Once characterized, we will study the applicability of the cutting plane algorithm of Plastria to problems where the objective function is quadratic and boundedly lower subdifferentiable.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01580603

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