On the generalized eigenvalue problem
R. Aripirala, Vassilis L. Syrmos · 2005
In this paper we extend the notion of a normal and symmetric matrix to a pair of real matrices. We show that the familiar properties of a symmetric matrix extend to the symmetric pair. The extension of the Courant-Fischer theorem for the characterization of the eigenvalues of the symmetric matrix is generalized. We also indicate some of the problems that have to be resolved with respect to the present definition.