The Krein Matrix and an Interlacing Theorem
Published in SIURO, 1969
Recommended citation: Your Name, You. (2009). "Paper Title Number 1." Journal 1. 1(1). https://www.semanticscholar.org/paper/The-Krein-Matrix-and-an-Interlacing-Theorem-Shamuel-Yu-Kapitula/2cfb79dfc9f546e5d9277cdcaea4976f4c8221bd?p2df
This paper is about the generalized eigenvalue problem; solving Ay = $\lambda$By. We construct a set of meromorphic functions, the Krein eigenvalues, whose zeros correspond to the real eigenvalues of the general eigenvalue problem. We also prove an interlacing theorem between the eigenvalues for the general problem and the eigenvalues of A.