On the performances of IMZSS2 method for bounding polynomial zeros simultaneously

Nur Raidah Salim, Mansor Monsi, Nasruddin Hassan

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

1 Citation (Scopus)

Abstract

This paper describes the extension of the interval symmetric single-step method IZSS2, namely the interval midpoint symmetric single-step IMZSS2 method which performs a forward-backward-forward step. The algorithm IMZSS2 introduced new reusable correctors where we always update the midpoints of the intervals at every step of the method. We will display the numerical results comparing the CPU times and number of iterations of both methods. The results show that the IMZSS2 method performs better both in CPU times and number of iterations as can be seen in the accompanied figures.

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.
Pages5-9
Number of pages5
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

Program processors
Polynomials
performance
time

Keywords

  • convergence
  • inclusion
  • interval analysis
  • symmetric single-step

ASJC Scopus subject areas

  • Education
  • Mechanical Engineering
  • Electrical and Electronic Engineering

Cite this

Salim, N. R., Monsi, M., & Hassan, N. (2015). On the performances of IMZSS2 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. 5-9). [7357016] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICREM.2015.7357016

On the performances of IMZSS2 method for bounding polynomial zeros simultaneously. / Salim, Nur Raidah; Monsi, Mansor; Hassan, Nasruddin.

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. 5-9 7357016.

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

Salim, NR, Monsi, M & Hassan, N 2015, On the performances of IMZSS2 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., 7357016, Institute of Electrical and Electronics Engineers Inc., pp. 5-9, 7th International Conference on Research and Education in Mathematics, ICREM7 2015, Kuala Lumpur, Malaysia, 25/8/15. https://doi.org/10.1109/ICREM.2015.7357016
Salim NR, Monsi M, Hassan N. On the performances of IMZSS2 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. 5-9. 7357016 https://doi.org/10.1109/ICREM.2015.7357016
Salim, Nur Raidah ; Monsi, Mansor ; Hassan, Nasruddin. / On the performances of IMZSS2 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. 5-9
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