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The Matrix Power Means and Interpolations


Trung Hoa Dinh, Raluca Dumitru and Jose A. Franco

Source title: 
Advances in Operator Theory, 3(3): 647-654, 2018 (Scopus)
Academic year of acceptance: 

‎It is well-known that the Heron mean is a linear interpolation between the arithmetic and the geometric means while the matrix power mean abstract-trunghoa-18-19.png interpolates between the harmonic‎, ‎the geometric‎, ‎and the arithmetic means‎. ‎In this article‎, ‎we establish several comparisons between the matrix power mean‎, ‎the Heron mean and the Heinz mean‎. ‎Therefore‎, ‎we have a deeper understanding about the distribution of these matrix means‎.