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The Krein Matrix and an Interlacing Theorem

Published in SIURO, 1969

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.

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