An upper bound on the number of zeros of a piecewise polinomial function
Numerical Analysis
2008-10-16 v1
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.
Cite
@article{arxiv.0810.2634,
title = {An upper bound on the number of zeros of a piecewise polinomial function},
author = {Marco Caminati},
journal= {arXiv preprint arXiv:0810.2634},
year = {2008}
}
Comments
1 figure