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Volume 26, Issue 1
Real Root Isolation of Spline Functions

Renhong Wang & Jinming Wu

J. Comp. Math., 26 (2008), pp. 69-75.

Published online: 2008-02

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  • Abstract

In this paper, we propose an algorithm for isolating real roots of a given univariate spline function, which is based on the use of Descartes' rule of signs and de Casteljau algorithm. Numerical examples illustrate the flexibility and effectiveness of the algorithm.

  • Keywords

Real root isolation, Univariate spline, Descartes' rule of signs, de Casteljau algorithm.

  • AMS Subject Headings

65D07, 14Q05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-69, author = {Renhong Wang and Jinming Wu}, title = {Real Root Isolation of Spline Functions}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {1}, pages = {69--75}, abstract = {

In this paper, we propose an algorithm for isolating real roots of a given univariate spline function, which is based on the use of Descartes' rule of signs and de Casteljau algorithm. Numerical examples illustrate the flexibility and effectiveness of the algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8611.html} }
TY - JOUR T1 - Real Root Isolation of Spline Functions AU - Renhong Wang & Jinming Wu JO - Journal of Computational Mathematics VL - 1 SP - 69 EP - 75 PY - 2008 DA - 2008/02 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8611.html KW - Real root isolation, Univariate spline, Descartes' rule of signs, de Casteljau algorithm. AB -

In this paper, we propose an algorithm for isolating real roots of a given univariate spline function, which is based on the use of Descartes' rule of signs and de Casteljau algorithm. Numerical examples illustrate the flexibility and effectiveness of the algorithm.

Renhong Wang and Jinming Wu. (2008). Real Root Isolation of Spline Functions. Journal of Computational Mathematics. 26 (1). 69-75. doi:
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