On the number of crossings in the spectrum of a hermitian matrix which depends on a real parameter

T.P. Valkering

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Abstract

Intersection of the eigenvalues εi(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 languageEnglish
Pages (from-to)117-124
JournalPhysica
Volume53
Issue number1
DOIs
Publication statusPublished - 1971

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