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An Approximation Method in the Variational Theory of the Spectrum of Operator Pencils
Authors:M. Hasanov
Affiliation:(1) Department of Mathematics, Istanbul Technical University, Maslak, Istanbul, 80626, Turkey
Abstract:An approximation method, based on a theorem on approximating general operator-valued functions by piecewise-linear ones, is presented and analyzed. Using this method, variational characteristics of the spectrum of a class of operator functions are established.
Keywords:approximation  Rayleigh system  variational principles
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