Results concerning the antitonicity of generalized inverses of nonnegative definite Hermitian matrices with respect to the Löwner partial ordering are generalized to arbitrary Hermitian matrices. Moreover, some properties of the inertia of a Hermitian matrix are established as preliminary results.
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics