Vatan KARAKAYA, Kadri DOGAN, Nour El Houda BOUZARA, Yunus ATALAN

7297

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

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.
Keywords:

Modified Newton algorithm, Picard S hybrid iteration, semilocal convergence, local convergence,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Liang ZHAO, Jiaqun WEI

Latif POURKARIMI, Masoud KARIMI

Sofiya OSTROVSKA, Mehmet TURAN

An expansion theorem for q -Sturm–Liouville operators on the whole line

Bilender PAŞAOĞLU ALLAHVERDIEV, Hüseyin TUNA

Mohammad MARABEH

Alan DOW, Seçil TOKGÖZ

Tayyebe HAQIRI, Mahmoud MOHSENI MOGHADAM, Azim RIVAZ

Pooja GUPTA, Purshottam Narain AGRAWAL

Tüba GÜLŞEN, Emrah YILMAZ, Hikmet KEMALOĞLU

Jian TANG, Yanfeng LUO, Xiangyun XIE