Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras

M. Seetharama Gowda and Roman Sznajder

Technical Report Number: trGOW09-02

Abstract:

In this article, we introduce the concept of Schur complement in the setting of Euclidean Jordan algebras and prove Schur determinantal and Haynsworth inertia formulas.


Long version in pdf format (March 31, 2009)

Short/Revised version in pdf format (Oct. 1, 2009)