Article
A Note on Horner's Method
Journal of Concrete and Applicable Mathematics
(2012)
Abstract
Here we present an application of Horner's method in evaluating the sequence of Stirling numbers of the second kind. Based on the method, we also give an e_cient way to calculate the diference sequence and divided diference sequence of a polynomial, which can be applied in the Newton interpolation. Finally, we survey all of the results in Proposition 1.4.
Keywords
- Horner's method,
- Stirling numbers of the second kind,
- divided diference,
- Newton interpolation.
Disciplines
Publication Date
2012
Publisher Statement
The Journal of Concrete and Applicable Mathematics is published by Eudoxus Press, LLC., http://www.msci.memphis.edu/~ganastss/jcaam/.
Citation Information
Tian-Xiao He and P. J.-S. Shiue. "A Note on Horner's Method" Journal of Concrete and Applicable Mathematics Vol. 10 Iss. 1-2 (2012) Available at: http://works.bepress.com/tian_xiao_he/57/