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

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An upper bound on the number of zeros of a piecewise polinomial function. / Caminati, Marco.
2008. (arXiv preprint arXiv:0810.2634).

Research output: Working paper › Preprint

Harvard

Caminati, M 2008 'An upper bound on the number of zeros of a piecewise polinomial function' arXiv preprint arXiv:0810.2634. https://doi.org/10.48550/arXiv.0810.2634

APA

Caminati, M. (2008). An upper bound on the number of zeros of a piecewise polinomial function. (arXiv preprint arXiv:0810.2634). https://doi.org/10.48550/arXiv.0810.2634

Vancouver

Caminati M. An upper bound on the number of zeros of a piecewise polinomial function. 2008 Oct 15. (arXiv preprint arXiv:0810.2634). doi: 10.48550/arXiv.0810.2634

Author

Caminati, Marco. / An upper bound on the number of zeros of a piecewise polinomial function. 2008. (arXiv preprint arXiv:0810.2634).

Bibtex

@techreport{922d6d202d4f423fa762d32ab323506a,
title = "An upper bound on the number of zeros of a piecewise polinomial function",
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.",
author = "Marco Caminati",
year = "2008",
month = oct,
day = "15",
doi = "10.48550/arXiv.0810.2634",
language = "English",
series = "arXiv preprint arXiv:0810.2634",
type = "WorkingPaper",

}

RIS

TY - UNPB

T1 - An upper bound on the number of zeros of a piecewise polinomial function

AU - Caminati, Marco

PY - 2008/10/15

Y1 - 2008/10/15

N2 - 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.

AB - 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.

U2 - 10.48550/arXiv.0810.2634

DO - 10.48550/arXiv.0810.2634

M3 - Preprint

T3 - arXiv preprint arXiv:0810.2634

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

ER -