The local and semilocal convergence analysis of new Newton-like iteration methods


KARAKAYA V. , Dogan K., Atalan Y., BOUZARA N. E. H.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.735-751, 2018 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 42 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1505-16
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayısı: ss.735-751

Özet

The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further investigate their behavior and finally illustrate the results by numerical examples.