A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices

作者: Enrico Bozzo , Dario Fasino

DOI: 10.1007/978-3-7643-8996-3_9

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摘要: We analyze the componentwise and normwise sensitivity of inverses Cauchy, Vandermonde, Cauchy-Vandermonde matrices, with respect to relative perturbations in nodes defining these matrices. obtain a priori, easily computable upper bounds for condition numbers. In particular, we improve known estimates Vandermonde matrices generic real nodes; twe consider detail nonnegative or symmetric extend analysis class complex

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