The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial

Mansor Monsi, Nasruddin Hassan, Syaida Fadhilah Mohammad Rusli

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The order of convergence of the existing interval zoro symmetric singlestep procedure is at least 4. The point version shares the same order of convergence. The point version of the interval zoro symmetric singlestep procedure, aptly called point zoro symmetric single-step procedure, is modified by repeating the two forward and one backward steps r times. This modified procedure is named as point repeated zoro symmetric single-step procedure. It is shown that this procedure converges at the rate of at least 3r + 1 where r ≥ 1. This procedure and that of the point zoro symmetric single-step procedure are identical when r = 1. Numerical results show that the proposed point repeated zoro symmetric single-step procedure possesses higher rate of convergence than does the point zoro symmetric single-step procedure.

Original languageEnglish
Pages (from-to)179-194
Number of pages16
JournalMalaysian Journal of Mathematical Sciences
Volume10
Issue number2
Publication statusPublished - 1 May 2016

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Simultaneous Estimation
Polynomial
Zero
Order of Convergence
Interval
Rate of Convergence
Converge
Numerical Results

Keywords

  • Point procedure
  • R-order of convergence
  • Simple zeros
  • Simultaneous estimation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial. / Monsi, Mansor; Hassan, Nasruddin; Rusli, Syaida Fadhilah Mohammad.

In: Malaysian Journal of Mathematical Sciences, Vol. 10, No. 2, 01.05.2016, p. 179-194.

Research output: Contribution to journalArticle

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