Showing papers by "Roger A. Horn published in 1995"

TL;DR: In this paper, a complete set of invariants and an explicit canonical form for contragredient equivalence were developed and a sufficient condition for the existence of square roots of AB and BA was presented.

TL;DR: An arithmetic-geometric mean inequality for unitarily invariant norms and matrices, 2∥A∗XB∥⩽∥AA∗ X+XBB∗∥, is an immediate consequence of a basic inequality for singular values of Hadamard products.

TL;DR: In this article, Hardy, Littlewood, and Polya give analogous results for eigenvalues of matrices and of their products, and they extend these results for sequence rearrangements.