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Vandermonde matrices on integer nodes

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Summary.

This paper deals with Vandermonde matrices \(\widetilde{V}\) whose nodes are the first \(n\) integer numbers. We give an analytic factorization of such matrices and explicit formulas for the entries of their inverses, and explore their computational issues. We also give asymptotic estimates of the Frobenius norm of both \(\widetilde{V}\) and its inverse.

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Authors and Affiliations

  1. Dip. Elettronica Informatica e Sistemistica, Università della Calabria, 87030 Rende (Cs), Italy; e-mail: eisinberg@unical.it , , , , , , IT

    Alfredo Eisinberg, Giuseppe Franzé & Paolo Pugliese

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  1. Alfredo Eisinberg
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  2. Giuseppe Franzé
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  3. Paolo Pugliese
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Received July 28, 1995 / Revised version received July 4, 1997

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Eisinberg, A., Franzé, G. & Pugliese, P. Vandermonde matrices on integer nodes. Numer. Math. 80, 75–85 (1998). https://doi.org/10.1007/s002110050360

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  • DOI: https://doi.org/10.1007/s002110050360

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