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Normal and seminormal eigenvalues of matrix functions
Authors:Peter Lancaster  Panayiotis Psarrakos
Institution:(1) Department of Mathematics and Statistics, University of Calgary, T2N 1N4 Calgary, Alberta, Canada
Abstract:LetP(lambda) be ann×n analytic matrix function andW(P) be its numerical range. In this paper classical results on the normality of matrix eigenvalues on partW(P) are generalized to the context of such matrix functions. Special attention is paid to corners of partW(P) and to the special case of matrix polynomialsP(lambda).
Keywords:Primary 15A60  Secondary 47A12  47A75
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