A MINIMUM PRINCIPLE AND ESTIMATES OF THE EIGENVALUES FOR SCHUR COMPLEMENTS POSITIVE SEMIDEFINITE HERMITIAN MATRICES

摘要

We give a minimum principle for Schur complements of positive definite Hermitian matrices. Further, we obtain some inequalities for the eigenvalues of Schur complements of products and sums of positive definite Hermitian matrices. (C) 1991 Elsevier Science Inc. [References: 7]