### Abstract

Intersection of the eigenvalues ε

_{i}(*h*) of an n-dimensional hermitian matrix A +*hB*(*h*being a real parameter) is discussed. An upper limit for the number of intersections is derived in terms of the rank of the Gramian of the symmetrized products of order 0, 1, …,*n*— 1 of A and B.Original language | English |
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Pages (from-to) | 117-124 |

Journal | Physica |

Volume | 53 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1971 |

## Cite this

Valkering, T. P. (1971). On the number of crossings in the spectrum of a hermitian matrix which depends on a real parameter.

*Physica*,*53*(1), 117-124. https://doi.org/10.1016/0031-8914(71)90107-8