A root-finding algorithm with fifth order derivatives

Pakdemirli M., Boyaci H., Yurtsever H.

Mathematical and Computational Applications, vol.13, no.2, pp.123-128, 2008 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.3390/mca13020123
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.123-128
  • Keywords: Perturbation theory, Root finding algorithms
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Perturbation theory is used to generate a root finding algorithm with fifth order derivatives. The algorithm is called Quintuple-Correction-Term algorithm. The new algorithm is contrasted with the previous Quadruple-Correction-Term and Triple-Correction-Term algorithms in the literature. It is found that adding a fifth correction term in the algorithm does not improve the performance. © Association for Scientific Research.