Corpus ID: 14675897

The Krein Matrix and an Interlacing Theorem Shamuel Auyeung

  title={The Krein Matrix and an Interlacing Theorem Shamuel Auyeung},
  author={E. Yu and T. Kapitula},
Consider the linear general eigenvalue problem Ay = λBy , where A and B are both invertible and Hermitian N × N matrices. In this paper we construct a set of meromorphic functions, the Krein eigenvalues, whose zeros correspond to the real eigenvalues of the general eigenvalue problem. The Krein eigenvalues are generated by the Krein matrix, which is constructed through projections on the positive and negative eigenspaces of B . The number of Krein eigenvalues depends on the number of negative… Expand

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  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2005
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