An upper bound on the number of zeros of a piecewise polinomial function

Marco Caminati

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arXiv · 0810.2634

An upper bound on the number of zeros of a piecewise polinomial function

Marco Caminati

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Abstract

A precise tie between a univariate spline's knots and its zeros abundance and dissemination is formulated. As an application, a conjecture formulated by De Concini and Procesi is shown to be true in the special univariate, unimodular case. As a supplement, the same conjecture is shown, through computing a counterexample, to be false when unimodularity hypothesis is dropped.

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Marco Caminati. 2008-10-15. An upper bound on the number of zeros of a piecewise polinomial function. https://arxiv.org/abs/0810.2634

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