Some useful inequalities via trace function method in Euclidean Jordan algebras

Yu-Lin Chang; Chin-Yu Yang

doi:10.3934/naco.2014.4.39

Article Contents

2014, Volume 4, Issue 1: 39-48. Doi: 10.3934/naco.2014.4.39

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Some useful inequalities via trace function method in Euclidean Jordan algebras

Yu-Lin Chang^1, and
Chin-Yu Yang^1,

1.
Department of Mathematics, National Taiwan Normal University, Taipei 11677

Received: May 2013

Revised: November 2013

Published: December 2013

Abstract / Introduction Related Papers Cited by

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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Mathematics Subject Classification: Primary: 26A27, 26B05, 26B35, 49J52, 90C33.

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