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

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

2008-10-15

arxiv.org/abs/0810.2634v1

Mathematics

Numerical Analysis

1 figure

Scientific paper

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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