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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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
Issue number1
Publication statusPublished - 1971

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