#
Some Inequalities for the Matrix Heron Mean

Some Inequalities for the Matrix Heron Mean

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.