Some useful inequalities via trace function method in Euclidean Jordan algebras

Yu Lin Chang; Chin Yu Yang

doi:10.3934/naco.2014.4.39

Some useful inequalities via trace function method in Euclidean Jordan algebras

Yu Lin Chang
, Chin Yu Yang^*

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (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 function methods for symmetric cone programs. With trace function method we offer much simpler proofs to these useful inequalities.

Original language	English
Pages (from-to)	39-48
Number of pages	10
Journal	Numerical Algebra, Control and Optimization
Volume	4
Issue number	1
DOIs	https://doi.org/10.3934/naco.2014.4.39
Publication status	Published - 2013 Dec

Keywords

Convexity
Löwner operator
Symmetric cone
Trace function

ASJC Scopus subject areas

Algebra and Number Theory
Control and Optimization
Applied Mathematics

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10.3934/naco.2014.4.39

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title = "Some useful inequalities via trace function method 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 function methods for symmetric cone programs. With trace function method we offer much simpler proofs to these useful inequalities.",

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author = "Chang, \{Yu Lin\} and Yang, \{Chin Yu\}",

year = "2013",

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AB - 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 function methods for symmetric cone programs. With trace function method we offer much simpler proofs to these useful inequalities.

KW - Convexity

KW - Löwner operator

KW - Symmetric cone

KW - Trace function

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UR - https://www.scopus.com/pages/publications/84892611050#tab=citedBy

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JO - Numerical Algebra, Control and Optimization

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IS - 1

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Some useful inequalities via trace function method in Euclidean Jordan algebras

Abstract

Keywords

ASJC Scopus subject areas

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