Lower subdifferentiability of quadratic functions

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

doi:https://doi.org/10.1007/BF01580603

Lower subdifferentiability of quadratic functions

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

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

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. © 1993 The Mathematical Programming Society, Inc.

Original language	English
Pages (from-to)	93-113
Journal	Mathematical Programming
Volume	60
DOIs	https://doi.org/10.1007/BF01580603
Publication status	Published - 1 Jun 1993

Keywords

AMS 1980 Subject Classifications: 26B25, 90C20
Quadratic functions
cutting plane methods
quasiconvexity
subdifferentiability

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https://doi.org/10.1007/BF01580603

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title = "Lower subdifferentiability of quadratic functions",

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. {\textcopyright} 1993 The Mathematical Programming Society, Inc.",

keywords = "AMS 1980 Subject Classifications: 26B25, 90C20, Quadratic functions, cutting plane methods, quasiconvexity, subdifferentiability",

author = "Mart{\'i}nez-Legaz, {J. E.} and S. Romano-Rodr{\'i}guez",

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language = "English",

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TY - JOUR

T1 - Lower subdifferentiability of quadratic functions

AU - Martínez-Legaz, J. E.

AU - Romano-Rodríguez, S.

PY - 1993/6/1

Y1 - 1993/6/1

N2 - 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. © 1993 The Mathematical Programming Society, Inc.

AB - 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. © 1993 The Mathematical Programming Society, Inc.

KW - AMS 1980 Subject Classifications: 26B25, 90C20

KW - Quadratic functions

KW - cutting plane methods

KW - quasiconvexity

KW - subdifferentiability

U2 - https://doi.org/10.1007/BF01580603

DO - https://doi.org/10.1007/BF01580603

M3 - Article

VL - 60

SP - 93

EP - 113

ER -

Lower subdifferentiability of quadratic functions

Abstract

Keywords

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