Comparing the new spectral geometric mean with other means
In this paper, we establish several comparisons for the new spectral geometric mean Ft(A,B)=(A−1♯tB)1/2A2−2t(A−1♯tB)1/2 of two positive definite matrices A and B. We compare Ft(A,B) with three well-known matrix means: the arithmetic mean, the geometric mean, and the harmonic mean, considering two cases: t∈[0,1] and t∉[0,1].
Authors
- Trung-Dung Vuong (ORCID: https://orcid.org/0000-0003-0118-377X)
- Trung Hoa Dinh (ORCID: https://orcid.org/0000-0001-6303-1427)
Institutions
- Vietnam National University Ho Chi Minh City (VN)
- Le Hong Phong High School for the Gifted (VN)
- Van Lang University (VN)
- VNUHCM – High School for the Gifted (VN)
Publication Details
- Journal
- Linear and Multilinear Algebra
- Published
- 2026-10-29
- DOI
- https://doi.org/10.1080/03081087.2026.2753514
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Viet Nam National University Ho Chi Minh City