Some useful inequalities via trace function method in Euclidean Jordan algebras

Yu Lin Chang, Chin Yu Yang

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)39-48
Number of pages10
JournalNumerical Algebra, Control and Optimization
Volume4
Issue number1
DOIs
Publication statusPublished - 2013 Dec 1

Fingerprint

Euclidean Jordan Algebra
Trace Function
Symmetric Cone
Algebra
Barrier Function
Penalty Function
Convexity
Cones

Keywords

  • Convexity
  • Löwner operator
  • Symmetric cone
  • Trace function

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Control and Optimization
  • Applied Mathematics

Cite this

Some useful inequalities via trace function method in Euclidean Jordan algebras. / Chang, Yu Lin; Yang, Chin Yu.

In: Numerical Algebra, Control and Optimization, Vol. 4, No. 1, 01.12.2013, p. 39-48.

Research output: Contribution to journalArticle

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