A root-finding algorithm with fifth order derivatives

Pakdemirli M., Boyaci H., Yurtsever H.

Mathematical and Computational Applications, cilt.13, sa.2, ss.123-128, 2008 (Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.3390/mca13020123
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.123-128
  • Anahtar Kelimeler: Perturbation theory, Root finding algorithms
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.