On a class of non-Hermitian matrices with positive definite Schur complements

Thomas Berger, Juan Ignacio Giribet, Francisco Martínez Pería +1

Given a positive definite matrix $A\in {\mathbb{C}}^{n\times n}$ and a Hermitian matrix $D\in {\mathbb{C}}^{m\times m}$, we characterize under which conditions there exists a strictly…