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

Noraini Jamaludin, Mansor Monsi, Nasruddin Hassan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationProceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018
EditorsShazalina Mat Zin, Nur' Afifah Rusdi, Khairul Anwar Bin Mohamad Khazali, Nooraihan Abdullah, Nurshazneem Roslan, Noor Alia Md Zain, Rasyida Md Saad, Nornadia Mohd Yazid
PublisherAmerican Institute of Physics Inc.
Volume2013
ISBN (Print)9780735417298
DOIs
Publication statusPublished - 2 Oct 2018
EventInternational Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018 - Kuala Lumpur, Malaysia
Duration: 24 Jul 201826 Jul 2018

Other

OtherInternational Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018
CountryMalaysia
CityKuala Lumpur
Period24/7/1826/7/18

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intervals
polynomials
iteration

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Jamaludin, N., Monsi, M., & Hassan, N. (2018). The performance of the interval midpoint zoro symmetric single-step (IMZSS2-5D) procedure to converge simultaneously to the zeros. In S. M. Zin, N. A. Rusdi, K. A. B. M. Khazali, N. Abdullah, N. Roslan, N. A. M. Zain, R. M. Saad, ... N. M. Yazid (Eds.), 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.

Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018. ed. / 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. Vol. 2013 American Institute of Physics Inc., 2018. 020033.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jamaludin, N, Monsi, M & Hassan, N 2018, The performance of the interval midpoint zoro symmetric single-step (IMZSS2-5D) procedure to converge simultaneously to the zeros. in SM Zin, NA Rusdi, KABM Khazali, N Abdullah, N Roslan, NAM Zain, RM Saad & NM Yazid (eds), 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
Jamaludin N, Monsi M, Hassan N. The performance of the interval midpoint zoro symmetric single-step (IMZSS2-5D) procedure to converge simultaneously to the zeros. In Zin SM, Rusdi NA, Khazali KABM, Abdullah N, Roslan N, Zain NAM, Saad RM, Yazid NM, editors, Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018. Vol. 2013. American Institute of Physics Inc. 2018. 020033 https://doi.org/10.1063/1.5054232
Jamaludin, Noraini ; Monsi, Mansor ; Hassan, Nasruddin. / The performance of the interval midpoint zoro symmetric single-step (IMZSS2-5D) procedure to converge simultaneously to the zeros. Proceeding of the International Conference on Mathematics, Engineering and Industrial Applications 2018, ICoMEIA 2018. editor / 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. Vol. 2013 American Institute of Physics Inc., 2018.
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