Convexity of symmetric cone trace functions in euclidean Jordan algebras

Yu Lin Chang; Jein Shan Chen

Convexity of symmetric cone trace functions in euclidean Jordan algebras

Yu Lin Chang
, Jein Shan Chen^*

^*Corresponding author for this work

Department of Mathematics

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

11 Citations (Scopus)

Abstract

In this paper, we establish convexity of some functions associated with symmetric cones, called SC trace functions. As illustrated in the paper, these functions play a key role in the development of penalty and barrier functions methods for symmtric cone programs.

Original language	English
Pages (from-to)	53-61
Number of pages	9
Journal	Journal of Nonlinear and Convex Analysis
Volume	14
Issue number	1
Publication status	Published - 2013 Jan

Keywords

Convexity
Lowner operator
Symmetric cone

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "Convexity of symmetric cone trace functions in euclidean Jordan algebras",

abstract = "In this paper, we establish convexity of some functions associated with symmetric cones, called SC trace functions. As illustrated in the paper, these functions play a key role in the development of penalty and barrier functions methods for symmtric cone programs.",

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

year = "2013",

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journal = "Journal of Nonlinear and Convex Analysis",

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AU - Chang, Yu Lin

AU - Chen, Jein Shan

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KW - Convexity

KW - Lowner operator

KW - Symmetric cone

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M3 - Article

AN - SCOPUS:84892608499

SN - 1345-4773

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JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 1

ER -

Convexity of symmetric cone trace functions in euclidean Jordan algebras

Abstract

Keywords

ASJC Scopus subject areas

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