### Abstract

In this paper we generated a new procedure called interval midpoint zoro symmetric single-step IMZSS2-5D procedure which is an extension from the existing ISS2 procedure. This procedure needs some pre-conditions for the initial interval to converge to the zeros respectively, starting with some disjoint intervals, each of which contains a polynomial zero. The IMZSS2-5D will produce a set of intervals of smallest possible width such that each interval includes one or more zeros of the polynomial from a given initial interval. The efficiency of the procedure is measured based on the CPU times, number of iterations and the value of the intervals width after satisfying the convergence criterion. Six test polynomials are used to verify the procedure. The numerical results are obtained by using MATLAB. The results indicated that the IMZSS2-5D procedure outperformed the existing ISS2 procedure. Hence, it is efficient to use IMZSS2-5D procedure for simultaneously bounding the polynomial zeros.

Original language | English |
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Title of host publication | Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018 |

Editors | Shazalina Mat Zin, Nur' Afifah Rusdi, Khairul Anwar Bin Mohamad Khazali, Nooraihan Abdullah, Nurshazneem Roslan, Noor Alia Md Zain, Rasyida Md Saad, Nornadia Mohd Yazid |

Publisher | American Institute of Physics Inc. |

Volume | 2013 |

ISBN (Print) | 9780735417298 |

DOIs | |

Publication status | Published - 2 Oct 2018 |

Event | International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018 - Kuala Lumpur, Malaysia Duration: 24 Jul 2018 → 26 Jul 2018 |

### Other

Other | International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018 |
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Country | Malaysia |

City | Kuala Lumpur |

Period | 24/7/18 → 26/7/18 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018*(Vol. 2013). [020033] American Institute of Physics Inc.. https://doi.org/10.1063/1.5054232

**The performance of the interval midpoint zoro symmetric single-step (IMZSS2-5D) procedure to converge simultaneously to the zeros.** / Jamaludin, Noraini; Monsi, Mansor; Hassan, Nasruddin.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018.*vol. 2013, 020033, American Institute of Physics Inc., International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018, Kuala Lumpur, Malaysia, 24/7/18. https://doi.org/10.1063/1.5054232

}

TY - GEN

T1 - The performance of the interval midpoint zoro symmetric single-step (IMZSS2-5D) procedure to converge simultaneously to the zeros

AU - Jamaludin, Noraini

AU - Monsi, Mansor

AU - Hassan, Nasruddin

PY - 2018/10/2

Y1 - 2018/10/2

N2 - In this paper we generated a new procedure called interval midpoint zoro symmetric single-step IMZSS2-5D procedure which is an extension from the existing ISS2 procedure. This procedure needs some pre-conditions for the initial interval to converge to the zeros respectively, starting with some disjoint intervals, each of which contains a polynomial zero. The IMZSS2-5D will produce a set of intervals of smallest possible width such that each interval includes one or more zeros of the polynomial from a given initial interval. The efficiency of the procedure is measured based on the CPU times, number of iterations and the value of the intervals width after satisfying the convergence criterion. Six test polynomials are used to verify the procedure. The numerical results are obtained by using MATLAB. The results indicated that the IMZSS2-5D procedure outperformed the existing ISS2 procedure. Hence, it is efficient to use IMZSS2-5D procedure for simultaneously bounding the polynomial zeros.

AB - In this paper we generated a new procedure called interval midpoint zoro symmetric single-step IMZSS2-5D procedure which is an extension from the existing ISS2 procedure. This procedure needs some pre-conditions for the initial interval to converge to the zeros respectively, starting with some disjoint intervals, each of which contains a polynomial zero. The IMZSS2-5D will produce a set of intervals of smallest possible width such that each interval includes one or more zeros of the polynomial from a given initial interval. The efficiency of the procedure is measured based on the CPU times, number of iterations and the value of the intervals width after satisfying the convergence criterion. Six test polynomials are used to verify the procedure. The numerical results are obtained by using MATLAB. The results indicated that the IMZSS2-5D procedure outperformed the existing ISS2 procedure. Hence, it is efficient to use IMZSS2-5D procedure for simultaneously bounding the polynomial zeros.

UR - http://www.scopus.com/inward/record.url?scp=85054568941&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85054568941&partnerID=8YFLogxK

U2 - 10.1063/1.5054232

DO - 10.1063/1.5054232

M3 - Conference contribution

SN - 9780735417298

VL - 2013

BT - Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018

A2 - Zin, Shazalina Mat

A2 - Rusdi, Nur' Afifah

A2 - Khazali, Khairul Anwar Bin Mohamad

A2 - Abdullah, Nooraihan

A2 - Roslan, Nurshazneem

A2 - Zain, Noor Alia Md

A2 - Saad, Rasyida Md

A2 - Yazid, Nornadia Mohd

PB - American Institute of Physics Inc.

ER -