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Some Inequalities for the Matrix Heron Mean

Authors: 

Dinh Trung Hoa*

Source title: 
Linear Algebra and Its Applications, 528: 331-320, 2017 (ISI)
Academic year of acceptance: 
2016-2017
Abstract: 

In this paper, we prove some norm inequalities for the matrix Heron mean of two positive definite matrices. We also prove a determinant inequality for the t-power mean of two positive definite matrices. As a consequence, we obtain a determinant inequality for the matrix Heron mean.