Some Inequalities for Sum and Product of Positive Semidefinite Matrices
Linear Algebra and its Applications
Majorization, Eigenvalue, Singular value, Unitarily invariant norm, Inequality, Moore-Penrose inverse, Positive semidefinite matrix
The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm, trace, and eigenvalue for sum and product of positive semidefinite (Hermitian) matrices. Some open questions proposed by Marshall and Olkin are resolved.
Wang, Bo-Ying; Xi, Bo-Yan; and Zhang, Fuzhen, "Some Inequalities for Sum and Product of Positive Semidefinite Matrices" (1999). Mathematics Faculty Articles. 110.