7 citations · 8 across the 13 of their papers we have counts for
9 papers · 1 filter
Heron-Wasserstein majorization inequalities for spectral and Kubo-Ando geometric means
Trung Dung Vuong, Anh Thi Nguyen, Trung Hoa Dinh
We prove sharp Heron-type majorization inequalities for two quadratic matrix expressions associated with the spectral and Kubo-Ando geometric means. For the spectral geometric mean…
A Weighted Spectral Quantum Fidelity
Cong Trinh Le, The Khoi Vu, Minh Toan Ho +1
We introduce and study a one-parameter family of fidelity-type quantities based on the weighted spectral geometric mean, which we call the \emph{weighted spectral fidelity} \( \mat…
Matrix power means and new characterizations of operator monotone functions
Trung Hoa Dinh, Cong Trinh Le, The Van Nguyen +1
For positive definite matrices and , the Kubo-Ando matrix power mean is defined as $$ P_μ(p, A, B) = A^{1/2}\left(\frac{1+(A^{-1/2}BA^{-1/2})^p}{2}\right )^{1/p} A^{1/2}\qua…
Functions preserving operator means
Trung Hoa Dinh, Hiroyuki Osaka, Shuhei Wada
Let be a non-trivial operator mean in the sense of Kubo and Ando, and let the set of normalized positive operator monotone functions on . In this paper, w…
Some Geometric Properties of Matrix Means with respect to Different Distance Function
Trung Hoa Dinh, Raluca Dumitru, Jose A. Franco
In this paper we study the monotonicity, in-betweenness and in-sphere properties of matrix means with respect to Bures-Wasserstein, Hellinger and Log-Determinant metrics. More prec…
Two trace inequalities for operator functions
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le +1
In this paper we show that for a non-negative operator monotone function on such that and for any positive semidefinite matrices and , $$ Tr((A-B…