On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously

Syaida Fadhilah Mohammad Rusli, Mansor Monsi, Nasruddin Hassan, Fadzilah Md Ali

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

1 Citation (Scopus)

Abstract

This paper presents an improvement of the existing interval symmetric single-step method ISS1 which will be called the interval midpoint symmetric single-step method IMSS1. The term 'midpoint' is referred to the updated midpoints used in every step in the method. The idea of midpoint will potentially reduce the time and improve the effectiveness of the method. This method is tested numerically in terms of CPU times and number of iterations of which comparison for both methods will be presented. This procedure is verified on five test polynomials and the results were obtained using MATLAB in association with Intlab toolbox. Based on the numerical results, the IMSS1 method shows a better performance than does the ISS1 method.

Original languageEnglish
Title of host publicationICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-4
Number of pages4
ISBN (Print)9781467375061
DOIs
Publication statusPublished - 14 Dec 2015
Event7th International Conference on Research and Education in Mathematics, ICREM7 2015 - Kuala Lumpur, Malaysia
Duration: 25 Aug 201527 Aug 2015

Other

Other7th International Conference on Research and Education in Mathematics, ICREM7 2015
CountryMalaysia
CityKuala Lumpur
Period25/8/1527/8/15

Fingerprint

MATLAB
Program processors
Polynomials
efficiency
performance

Keywords

  • interval analysis
  • interval procedure
  • R-order of convergence
  • simple zeros
  • simultaneous inclusion

ASJC Scopus subject areas

  • Education
  • Mechanical Engineering
  • Electrical and Electronic Engineering

Cite this

Rusli, S. F. M., Monsi, M., Hassan, N., & Md Ali, F. (2015). On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously. In ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education (pp. 1-4). [7357015] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICREM.2015.7357015

On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously. / Rusli, Syaida Fadhilah Mohammad; Monsi, Mansor; Hassan, Nasruddin; Md Ali, Fadzilah.

ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education. Institute of Electrical and Electronics Engineers Inc., 2015. p. 1-4 7357015.

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

Rusli, SFM, Monsi, M, Hassan, N & Md Ali, F 2015, On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously. in ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education., 7357015, Institute of Electrical and Electronics Engineers Inc., pp. 1-4, 7th International Conference on Research and Education in Mathematics, ICREM7 2015, Kuala Lumpur, Malaysia, 25/8/15. https://doi.org/10.1109/ICREM.2015.7357015
Rusli SFM, Monsi M, Hassan N, Md Ali F. On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously. In ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education. Institute of Electrical and Electronics Engineers Inc. 2015. p. 1-4. 7357015 https://doi.org/10.1109/ICREM.2015.7357015
Rusli, Syaida Fadhilah Mohammad ; Monsi, Mansor ; Hassan, Nasruddin ; Md Ali, Fadzilah. / On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously. ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 1-4
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