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

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

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.3, ss.735-751, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1505-16
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.735-751
  • Anahtar Kelimeler: Modified Newton algorithm, Picard S hybrid iteration, semilocal convergence, local convergence
  • Yıldız Teknik Üniversitesi Adresli: Evet

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.