The matrix power means and interpolations
It is well-known that the Heron mean is a linear interpolation between the arithmetic and the geometric means while the matrix power mean Pt(A;B): = A1/2 (I+(A-1/2BA-1/2)t/2)1/t A1/2 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.
Advances in Operator Theory
Digital Object Identifier (DOI)
Dinh, Dumitru, Raluca, & Franco, J. A. (2018). The matrix power means and interpolations. Advances in Operator Theory, 3(3), 647–654. https://doi.org/10.15352/aot.1801-1288