ON THE INERTIA OF SOME CLASSES OF PARTITIONED MATRICES.
Abstract
The paper is concerned with the determination of the inertia triple for certain partitioned Hermitian matrices. We make repeated use of the Sylvester-Hermite theorem that the inertia of an Hermitian matrix remains invariant under a cogredient transformation. That is, if K = P* HP, where P is a non-singular matrix and H is Hermitian, then K is also Hermitian, and In K = In H. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0673140
Entities
People
- Alexander M. Ostrowski
- Emilie V. Harnsworth
Organizations
- University of Basel