An elementary proof of the exponential conditioning of real Vandermonde matrices

Stefano Serra‐Capizzano · IrInSubria (University of Insubria) · 2007

We provide and discuss an elementary proof of the exponential conditioning of real Vandermonde matrices which can be easily given in undergraduate courses: we exclusively use the definition of conditioning and the sup-norm formula on [-1,1] for Chebyshev polynomials of first kind The same proof idea works virtually unchanged for the famous Hubert matrix.

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