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.