5 citations · 9 across the 12 of their papers we have counts for
18 papers
Some applications of Choi polynomials of linear maps
Minh Toan Ho, Thanh Hieu Le, Cong Trinh Le +1
This paper investigates the properties of Choi polynomials and their fundamental role in the theory of positive linear maps between matrix algebras. By focusing on Hermitian symmet…
Perturbation of monic matrix polynomials
Cong Trinh Le, Gue Myung Lee, Yongdo Lim +1
In this paper, we study the stability of matrix polynomials under structured perturbations of their coefficients. More precisely, we consider a family of matrix polynomials \[ P_u(…
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 $$ P_μ(p, A, B) = A^{1/2}\left(\frac{1+(A^{-1/2}BA^{-1/2})^p}{2}\right )^{1/p} A^{1/2}\qua…
Tracial moment problems on hypercubes
Cong Trinh Le
In this paper we introduce the "tracial -moment problem" and the "sequential matrix-valued -moment problem" and show the equivalence of the solvability of these problems. Usi…
Two trace inequalities for operator functions
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le +1
In this paper we show that for a non-negative operator monotone function on such that and for any positive semidefinite matrices and , $$ 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…