7 citations · 8 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Some applications of Scherer-Hol's theorem for polynomial matrices
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le
In this paper we establish some applications of the Scherer-Hol's theorem for polynomial matrices. Firstly, we give a representation for polynomial matrices positive definite on su…