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2014•Journal of Inequalities and ApplicationsOpen access

On some trace inequalities for positive definite Hermitian matrices

Houqing Zhou

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Abstract

Let A be a positive definite Hermitian matrix, we investigate the trace inequalities of A . By using the equivalence of the deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary inequalities, we extend some previous works on the trace inequalities for positive definite Hermitian matrices, and we obtain some valuable theory. MSC: 15A45, 15A57.

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Let A be a positive definite Hermitian matrix, we investigate the trace inequalities of A . By using the equivalence of the deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary inequalities, we extend some previous works on the trace inequalities for positive definite Hermitian matrices, and we obtain some valuable theory. MSC: 15A45, 15A57.

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Available abstract

Let A be a positive definite Hermitian matrix, we investigate the trace inequalities of A . By using the equivalence of the deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary inequalities, we extend some previous works on the trace inequalities for positive definite Hermitian matrices, and we obtain some valuable theory. MSC: 15A45, 15A57.

Key concepts: Hermitian matrix, Positive-definite matrix, Mathematics, TRACE (psycholinguistics), Equivalence (formal languages), Pure mathematics, Matrix (chemical analysis), Inequality

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