The matrix power means and interpolations
Document Type
Article
Publication Date
6-1-2018
Abstract
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.
Publication Title
Advances in Operator Theory
Volume
3
Issue
3
First Page
647
Last Page
654
Digital Object Identifier (DOI)
10.15352/aot.1801-1288
E-ISSN
2538225X
Citation Information
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
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