Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means
Document Type
Article
Publication Date
1-1-2019
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.
Publication Title
Lobachevskii Journal of Mathematics
Volume
40
Issue
1
First Page
101
Last Page
105
Digital Object Identifier (DOI)
10.1134/S1995080219010062
ISSN
19950802
E-ISSN
18189962
Citation Information
Dinh, Trung Hoa; Dumitru, Raluca; and Franco, Jose A., "Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means" (2019). UNF Faculty Research and Scholarship. 999.
https://digitalcommons.unf.edu/unf_faculty_publications/999
COinS