A Note on Horner's Method

Tian-Xiao He, P. J.-S. Shiue

Research output: Journal ArticleArticlepeer-review


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.

Original languageAmerican English
JournalJournal of Concrete and Applicable Mathematics
StatePublished - 2012


  • Horner's method
  • Stirling numbers of the second kind
  • divided diference
  • Newton interpolation.


  • Mathematics

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