The Rényi power means of matrices
From MaRDI portal
Publication:2226399
DOI10.1016/j.laa.2020.08.003OpenAlexW3046943396MaRDI QIDQ2226399
Jose A. Franco, Raluca Dumitru
Publication date: 12 February 2021
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2020.08.003
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items
On certain order properties of non Kubo-Ando means in operator algebras ⋮ Operator power means in the view of fixed points ⋮ Some new characterizations of central positive elements in \(C^\ast\)-algebras ⋮ Weak log-majorization and inequalities of power means ⋮ The \(\alpha\)-\(z\)-Bures Wasserstein divergence ⋮ Geodesic in-betweenness for means of several matrices
Cites Work
- Unnamed Item
- Some norm inequalities for matrix means
- Matrix power means and the Karcher mean
- Riemannian geometry and matrix geometric means
- On an inequality of Lieb and Thirring
- Means of positive linear operators
- On the exponential metric increasing property.
- Log-majorization related to Rényi divergences
- Geometric means
- On some inequalities for the matrix power and Karcher means
- On a conjecture of Bhatia, Lim and Yamazaki
- An effective matrix geometric mean satisfying the Ando–Li–Mathias properties
- Inequalities between means of positive operators
- Strong convexity of sandwiched entropies and related optimization problems
- A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
