Volume 26, Issue 1
Real Root Isolation of Spline Functions

Renhong Wang & Jinming Wu

DOI:

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 = {}, 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 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 KW - Univariate spline KW - Descartes' rule of signs KW - 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 & Jinming Wu. (1970). Real Root Isolation of Spline Functions. Journal of Computational Mathematics. 26 (1). 69-75. doi:
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