11 citations · 14 across the 9 of their papers we have counts for
11 papers
Towards a Characterization of Matrix Monotonicity via Radial Convexity
Małgorzata M. Czerwińska, Jose A. Franco, Allan Merino
The theory of matrix monotone functions of finite degree depends subtly on the matrix size. Motivated by this phenomenon, we introduce radial convexity of metrics with respect to m…
On The Linearization of Alternative Means
Raluca Dumitru, Jose Franco, Allan Merino
Alternative means have recently attracted considerable attention in matrix analysis and operator theory. In this paper, we investigate the linearization problem for alternative mea…
Spectral Decomposition and Linearization of Kubo-Ando Means
Raluca Dumitru, Jose Franco, Allan Merino
In this paper, we study the structure of Kubo-Ando means on the cone of positive Hermitian matrices over the real numbers, complex numbers, and quaternions. Given a Kubo-Ando mean…
The Cone of J-Hermitian Matrices and a Geometric Mean
Jose Franco, Allan Merino
We study the cone of positive J-Hermitian matrices associated with an indefinite signature matrix J = . We show that the J-exponential map…
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…
New characterizations of operator monotone functions
Trung Hoa Dinh, Raluca Dumitru, Jose Franco
If is a symmetric mean and is an operator monotone function on , then Conversely, Ando and Hiai showed th…