On the convergence of the Newton's method in the interval symmetric single step procedure

Syaida Fadhilah M Rusli, Mansor Monsi, Nasruddin Hassan

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The rate of convergence of the interval symmetric single-step procedure IMW is increased by introducing a Newton's method (NM) at the beginning of the procedure. The numerical convergence of this new procedure called INSMW is shown. Based on the numerical results, this new procedure performed better than does IMW, verifying the rate of convergence to be at least four.

Original languageEnglish
Pages (from-to)2775-2779
Number of pages5
JournalInternational Journal of Mathematical Analysis
Volume8
Issue number53-56
DOIs
Publication statusPublished - 2014

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Newton Methods
Interval
Rate of Convergence
Numerical Results

Keywords

  • Interval procedure
  • R-order of convergence
  • Simple zeros

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the convergence of the Newton's method in the interval symmetric single step procedure. / Rusli, Syaida Fadhilah M; Monsi, Mansor; Hassan, Nasruddin.

In: International Journal of Mathematical Analysis, Vol. 8, No. 53-56, 2014, p. 2775-2779.

Research output: Contribution to journalArticle

Rusli, Syaida Fadhilah M ; Monsi, Mansor ; Hassan, Nasruddin. / On the convergence of the Newton's method in the interval symmetric single step procedure. In: International Journal of Mathematical Analysis. 2014 ; Vol. 8, No. 53-56. pp. 2775-2779.
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