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Some useful inequalities via trace function method in Euclidean Jordan algebras

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


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