On the convergence of IRTSS1 for simultaneous inclusion of polynomial zeros

Syaida F M Rusli, Mansor Monsi, Nasruddin Hassan, Nurulkamal Masseran

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, we present a new method involving Newton’s method (NM) for estimating polynomial zeros simultaneously. The interval repeated single-step procedure (IRTSS1) is a modification to the existing methods IRSS1 and ITSS1. As a result, this method is proven to have a rate of convergence of at least 2r + 2, where r ≥ 1, compared to those of ITSS1 and IRSS1 which converge to at least four and 2r + 1, respectively.

Original languageEnglish
Pages (from-to)251-258
Number of pages8
JournalFar East Journal of Mathematical Sciences
Volume98
Issue number2
DOIs
Publication statusPublished - 1 Sep 2015

Fingerprint

Zeros of Polynomials
Inclusion
Polynomial Zeros
Newton Methods
Rate of Convergence
Converge
Interval

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the convergence of IRTSS1 for simultaneous inclusion of polynomial zeros. / Rusli, Syaida F M; Monsi, Mansor; Hassan, Nasruddin; Masseran, Nurulkamal.

In: Far East Journal of Mathematical Sciences, Vol. 98, No. 2, 01.09.2015, p. 251-258.

Research output: Contribution to journalArticle

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