Schur Complements and Matrix Inequalities in Lowner Ordering
Linear Algebra and its Applications
Correlation matrix, Hadamard product, Kronecker product, Lowner ordering, Matrix inequality, Positive semi-definite matrix, Principal submatrix, Schur complement
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies the proofs of many existing matrix inequalities in the Löwner partial ordering on the sum, ordinary product, and Hadamard (Schur) product. Schur complements serve as the basic tool
Zhang, Fuzhen, "Schur Complements and Matrix Inequalities in Lowner Ordering" (2000). Mathematics Faculty Articles. 105.