On some trace inequalities for positive definite Hermitian matrices

Journal of inequalities and applications

Houqing Zhou¹ 

关键词: Hermitian matrix;    positive definite;    trace inequality;   

DOI  :  10.1186/1029-242X-2014-64

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY