Symmetric Interpolation, Exchange Lemma and Sylvester Sums

Teresa Krick; Agnes Szanto; Marcelo Valdettaro

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arXiv · 1503.00607

Symmetric Interpolation, Exchange Lemma and Sylvester Sums

Teresa Krick·Agnes Szanto·Marcelo Valdettaro

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Abstract

The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows to explain in a simple and natural way the full description of the double sum expressions introduced by Sylvester in 1853 in terms of subresultants and their Bezout coefficients.

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Teresa Krick, Agnes Szanto, Marcelo Valdettaro. 2015-03-02. Symmetric Interpolation, Exchange Lemma and Sylvester Sums. https://arxiv.org/abs/1503.00607

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