The Newton's method in the interval symmetric single step procedure for polynomial zeros

Syaida Fadhilah M Rusli, Mansor Monsi, Nasruddin Hassan

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The interval symmetric single-step procedure IMW established in 1988 has a rate of convergence at least three. The rate of convergence of this procedure is increased by introducing a Newton's method (NM) at the beginning of the procedure, which is called INSMW. The convergence analysis of INSMW is shown.

Original languageEnglish
Pages (from-to)2763-2768
Number of pages6
JournalInternational Journal of Mathematical Analysis
Volume8
Issue number53-56
DOIs
Publication statusPublished - 2014

Fingerprint

Polynomial Zeros
Newton Methods
Interval
Rate of Convergence
Convergence Analysis

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The Newton's method in the interval symmetric single step procedure for polynomial zeros. / Rusli, Syaida Fadhilah M; Monsi, Mansor; Hassan, Nasruddin.

In: International Journal of Mathematical Analysis, Vol. 8, No. 53-56, 2014, p. 2763-2768.

Research output: Contribution to journalArticle

Rusli, Syaida Fadhilah M ; Monsi, Mansor ; Hassan, Nasruddin. / The Newton's method in the interval symmetric single step procedure for polynomial zeros. In: International Journal of Mathematical Analysis. 2014 ; Vol. 8, No. 53-56. pp. 2763-2768.
@article{7c5572e00ef54ca19b4fea04fc4caee7,
title = "The Newton's method in the interval symmetric single step procedure for polynomial zeros",
abstract = "The interval symmetric single-step procedure IMW established in 1988 has a rate of convergence at least three. The rate of convergence of this procedure is increased by introducing a Newton's method (NM) at the beginning of the procedure, which is called INSMW. The convergence analysis of INSMW is shown.",
keywords = "Interval procedure, R-order of convergence, Simple zeros",
author = "Rusli, {Syaida Fadhilah M} and Mansor Monsi and Nasruddin Hassan",
year = "2014",
doi = "10.12988/ijma.2014.410305",
language = "English",
volume = "8",
pages = "2763--2768",
journal = "International Journal of Mathematical Analysis",
issn = "1312-8876",
publisher = "Hikari Ltd.",
number = "53-56",

}

TY - JOUR

T1 - The Newton's method in the interval symmetric single step procedure for polynomial zeros

AU - Rusli, Syaida Fadhilah M

AU - Monsi, Mansor

AU - Hassan, Nasruddin

PY - 2014

Y1 - 2014

N2 - The interval symmetric single-step procedure IMW established in 1988 has a rate of convergence at least three. The rate of convergence of this procedure is increased by introducing a Newton's method (NM) at the beginning of the procedure, which is called INSMW. The convergence analysis of INSMW is shown.

AB - The interval symmetric single-step procedure IMW established in 1988 has a rate of convergence at least three. The rate of convergence of this procedure is increased by introducing a Newton's method (NM) at the beginning of the procedure, which is called INSMW. The convergence analysis of INSMW is shown.

KW - Interval procedure

KW - R-order of convergence

KW - Simple zeros

UR - http://www.scopus.com/inward/record.url?scp=84921684521&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84921684521&partnerID=8YFLogxK

U2 - 10.12988/ijma.2014.410305

DO - 10.12988/ijma.2014.410305

M3 - Article

AN - SCOPUS:84921684521

VL - 8

SP - 2763

EP - 2768

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

SN - 1312-8876

IS - 53-56

ER -