### 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 language | English |
---|---|

Pages (from-to) | 179-194 |

Number of pages | 16 |

Journal | Malaysian Journal of Mathematical Sciences |

Volume | 10 |

Issue number | 2 |

Publication status | Published - 1 May 2016 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Malaysian Journal of Mathematical Sciences*,

*10*(2), 179-194.

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

Research output: Contribution to journal › Article

*Malaysian Journal of Mathematical Sciences*, vol. 10, no. 2, pp. 179-194.

}

TY - JOUR

T1 - The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial

AU - Monsi, Mansor

AU - Hassan, Nasruddin

AU - Rusli, Syaida Fadhilah Mohammad

PY - 2016/5/1

Y1 - 2016/5/1

N2 - 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.

AB - 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.

KW - Point procedure

KW - R-order of convergence

KW - Simple zeros

KW - Simultaneous estimation

UR - http://www.scopus.com/inward/record.url?scp=85008893164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85008893164&partnerID=8YFLogxK

M3 - Article

VL - 10

SP - 179

EP - 194

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 2

ER -