The repeated procedure prmzss1 for estimating the polynomial zeros simultaneously

Mansor Monsi, Nasruddin Hassan, Syaida Fadhilah Mohammad Rusli

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Our previous method that is PMZSS1 has a rate of convergence of at least eight. The aim of repeating the steps in PMZSS1 is to yield a better rate of convergence.The resulting method is called the repeated midpoint zoro PRMZSS1 where its rate of convergence is at least 7r+1 with r ≥ 1.The proof of this result is detailed in the convergence analysis of PRMZSS1. Numerical results and comparison with the existing procedures of PZSS1 and PMZSS1 are included to confirm our theoretical results, where the rate of convergence of PZSS1 and PMZSS1 are four and eight respectively.

Original languageEnglish
Pages (from-to)385-400
Number of pages16
JournalMalaysian Journal of Mathematical Sciences
Volume10
Issue number3
Publication statusPublished - 1 Sep 2016

Fingerprint

Polynomial Zeros
Rate of Convergence
Midpoint
Numerical Comparisons
Convergence Analysis
Numerical Results

Keywords

  • Convergence rate
  • Estimating the zeros
  • Simple zeros
  • Simultaneous approximation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The repeated procedure prmzss1 for estimating the polynomial zeros simultaneously. / Monsi, Mansor; Hassan, Nasruddin; Rusli, Syaida Fadhilah Mohammad.

In: Malaysian Journal of Mathematical Sciences, Vol. 10, No. 3, 01.09.2016, p. 385-400.

Research output: Contribution to journalArticle

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