A subdifferential characterization of Motzkin decomposable functions

J. E. Martínez-Legaz; L. Thibault

doi:https://doi.org/10.1080/02331934.2017.1339705

A subdifferential characterization of Motzkin decomposable functions

J. E. Martínez-Legaz, L. Thibault

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research

Abstract

© 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group. The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and composition.

Original language	English
Pages (from-to)	1279-1287
Journal	Optimization
Volume	68
DOIs	https://doi.org/10.1080/02331934.2017.1339705
Publication status	Published - 3 Jul 2019

Keywords

Legendre-Fenchel conjugate
Motzkin decomposition
recession cone
subdifferential

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https://ddd.uab.cat/record/222636

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title = "A subdifferential characterization of Motzkin decomposable functions",

abstract = "{\textcopyright} 2017, {\textcopyright} 2017 Informa UK Limited, trading as Taylor & Francis Group. The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and composition.",

keywords = "Legendre-Fenchel conjugate, Motzkin decomposition, recession cone, subdifferential",

author = "Mart{\'i}nez-Legaz, {J. E.} and L. Thibault",

year = "2019",

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AU - Thibault, L.

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N2 - © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group. The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and composition.

AB - © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group. The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and composition.

KW - Legendre-Fenchel conjugate

KW - Motzkin decomposition

KW - recession cone

KW - subdifferential

U2 - https://doi.org/10.1080/02331934.2017.1339705

DO - https://doi.org/10.1080/02331934.2017.1339705

M3 - Article

VL - 68

SP - 1279

EP - 1287

ER -

A subdifferential characterization of Motzkin decomposable functions

Abstract

Keywords

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