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A strategy for detecting extreme eigenvalues bounding gaps in the discrete spectrum of self-adjoint operators

2007
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Computers and Mathematics with Applications
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For a self-adjoint linear operator with a discrete spectrum or a Hermitian matrix, the "extreme" eigenvalues define the boundaries of clusters in the spectrum of real eigenvalues. The outer extreme ones are the largest and the smallest eigenvalues. If there are extended intervals in the spectrum in which no eigenvalues are present, the eigenvalues bounding these gaps are the inner extreme eigenvalues. We will describe a procedure for detecting the extreme eigenvalues that relies on the

doi:10.1016/j.camwa.2005.11.040
fatcat:6n3253rofrgf7kezssrtltbbxa