On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros

Mansor Monsi, Syaida Fadhilah Muhamad Rusli, Nasruddin Hassan, Fudziah Ismail, Zarina Bibi Ibrahim

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The point symmetric single-step procedure established by Monsi (2012) has R-order of convergence at least 3. This procedure is modified by repeating the steps in the procedure r times without involving function evaluations. This modified procedure is called the point repeated symmetric single-step PRSS1. The R-order of convergence of PRSS1 is at least (2r + 1) (r=1). Computational experiences in the implementation of the interval version of PRSS1 (see Monsi and Wolfe, 1988) showed that the repeated symmetric single-step procedure is more efficient than the total step (Kerner, 1966) and the single-step (Alefeld and Herzberger, 1974) methods.

Original languageEnglish
Pages (from-to)301-315
Number of pages15
JournalMalaysian Journal of Mathematical Sciences
Volume9
Issue number2
Publication statusPublished - 2015

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Zeros of Polynomials
Simultaneous Estimation
R-order of Convergence
Evaluation Function
Interval

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros. / Monsi, Mansor; Rusli, Syaida Fadhilah Muhamad; Hassan, Nasruddin; Ismail, Fudziah; Ibrahim, Zarina Bibi.

In: Malaysian Journal of Mathematical Sciences, Vol. 9, No. 2, 2015, p. 301-315.

Research output: Contribution to journalArticle

Monsi, Mansor ; Rusli, Syaida Fadhilah Muhamad ; Hassan, Nasruddin ; Ismail, Fudziah ; Ibrahim, Zarina Bibi. / On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros. In: Malaysian Journal of Mathematical Sciences. 2015 ; Vol. 9, No. 2. pp. 301-315.
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