3 citations · 5 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
Kubo-Ando Means of Finite Order over Real Division Algebras
Jose Franco, Allan Merino
In this paper, we study Kubo-Ando means of finite order over the real division algebras , , and . We establish an explicit bijection between Kub…
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…