### 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 language | English |
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Pages (from-to) | 385-400 |

Number of pages | 16 |

Journal | Malaysian Journal of Mathematical Sciences |

Volume | 10 |

Issue number | 3 |

Publication status | Published - 1 Sep 2016 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Malaysian Journal of Mathematical Sciences*,

*10*(3), 385-400.

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

Research output: Contribution to journal › Article

*Malaysian Journal of Mathematical Sciences*, vol. 10, no. 3, pp. 385-400.

}

TY - JOUR

T1 - The repeated procedure prmzss1 for estimating the polynomial zeros simultaneously

AU - Monsi, Mansor

AU - Hassan, Nasruddin

AU - Rusli, Syaida Fadhilah Mohammad

PY - 2016/9/1

Y1 - 2016/9/1

N2 - 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.

AB - 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.

KW - Convergence rate

KW - Estimating the zeros

KW - Simple zeros

KW - Simultaneous approximation

UR - http://www.scopus.com/inward/record.url?scp=85008871080&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85008871080&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85008871080

VL - 10

SP - 385

EP - 400

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 3

ER -