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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	39-48
頁數	10
期刊	Numerical Algebra, Control and Optimization
卷	4
發行號	1
DOIs	https://doi.org/10.3934/naco.2014.4.39
出版狀態	已發佈 - 2013 12月

ASJC Scopus subject areas

代數與數理論
控制和優化
應用數學

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10.3934/naco.2014.4.39

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引用此

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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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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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DO - 10.3934/naco.2014.4.39

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Some useful inequalities via trace function method in Euclidean Jordan algebras

摘要

ASJC Scopus subject areas

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