Email this article Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means
- Authors: Dinh T.H.1, Dumitru R.2, Franco J.A.2
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Affiliations:
- Department of Mathematics
- Department of Mathematics and Statistics
- Issue: Vol 40, No 1 (2019)
- Pages: 101-105
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203836
- DOI: https://doi.org/10.1134/S1995080219010062
- ID: 203836
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Abstract
Bhatia, Lim, and Yamazaki conjectured that the Kubo–Ando extensions of means of numbers satisfy a norm minimality condition with respect to unitarily invariant norms. In this short note, we introduce a symmetric Kubo–Ando mean and a non-Kubo–Ando extension that do not satisfy this property.
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About the authors
Trung Hoa Dinh
Department of Mathematics
Author for correspondence.
Email: thdinh@troy.edu
United States, Troy, AL, 36082
Raluca Dumitru
Department of Mathematics and Statistics
Author for correspondence.
Email: raluca.dumitru@unf.edu
United States, Jacksonville, FL, 32224
Jose A. Franco
Department of Mathematics and Statistics
Author for correspondence.
Email: jose.franco@unf.edu
United States, Jacksonville, FL, 32224
