Strong semismoothness of fischer-burmeister complementarity function associated with symmetric cones

Yu Lin Chang; Jein Shan Chen; Shaohua Pan

Strong semismoothness of fischer-burmeister complementarity function associated with symmetric cones

Yu Lin Chang, Jein Shan Chen, Shaohua Pan

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We provide an affirmative answer to an question that the Fischer-Burmeister complementarity function associated with symmetric cones, named the FB SC complementarity function, is globally Lipschitz continuous and strongly semismooth everywhere for ℍⁿ and ℚⁿ. This is achieved with the help of em-bedding ℍⁿ and ℚⁿ into certain s{double-struck}^m.

Original language	English
Pages (from-to)	799-806
Number of pages	8
Journal	Journal of Nonlinear and Convex Analysis
Volume	13
Issue number	4
Publication status	Published - 2012 Oct

Keywords

Fischer-Burmeister function
Strong semismoothness
Symmetric cones

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "Strong semismoothness of fischer-burmeister complementarity function associated with symmetric cones",

abstract = "We provide an affirmative answer to an question that the Fischer-Burmeister complementarity function associated with symmetric cones, named the FB SC complementarity function, is globally Lipschitz continuous and strongly semismooth everywhere for ℍn and ℚn. This is achieved with the help of em-bedding ℍn and ℚn into certain s{double-struck}m.",

keywords = "Fischer-Burmeister function, Strong semismoothness, Symmetric cones",

author = "Chang, {Yu Lin} and Chen, {Jein Shan} and Shaohua Pan",

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AU - Chen, Jein Shan

AU - Pan, Shaohua

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N2 - We provide an affirmative answer to an question that the Fischer-Burmeister complementarity function associated with symmetric cones, named the FB SC complementarity function, is globally Lipschitz continuous and strongly semismooth everywhere for ℍn and ℚn. This is achieved with the help of em-bedding ℍn and ℚn into certain s{double-struck}m.

AB - We provide an affirmative answer to an question that the Fischer-Burmeister complementarity function associated with symmetric cones, named the FB SC complementarity function, is globally Lipschitz continuous and strongly semismooth everywhere for ℍn and ℚn. This is achieved with the help of em-bedding ℍn and ℚn into certain s{double-struck}m.

KW - Fischer-Burmeister function

KW - Strong semismoothness

KW - Symmetric cones

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ER -

Strong semismoothness of fischer-burmeister complementarity function associated with symmetric cones

Abstract

Keywords

ASJC Scopus subject areas

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