The efficiency of convergence rate for IMSS2-5D procedure

Noraini Jamaludin, Mansor Monsi, Nasruddin Hassan, Nooraini Zainuddin, Nur Izzati Rashid

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

1 Citation (Scopus)

Abstract

A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure has a higher convergence rate than ISS2 and ISS2-5D, verifying the rate of convergence to be at least 12. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously. Hence, it would be effective to use this procedure in determining the zeros of polynomial simultaneously.

Original languageEnglish
Title of host publicationInnovation and Analytics Conference and Exhibition, IACE 2015: Proceedings of the 2nd Innovation and Analytics Conference and Exhibition
PublisherAmerican Institute of Physics Inc.
Volume1691
ISBN (Electronic)9780735413382
DOIs
Publication statusPublished - 11 Dec 2015
Event2nd Innovation and Analytics Conference and Exhibition, IACE 2015 - Alor Setar, Kedah, Malaysia
Duration: 29 Sep 20151 Oct 2015

Other

Other2nd Innovation and Analytics Conference and Exhibition, IACE 2015
CountryMalaysia
CityAlor Setar, Kedah
Period29/9/151/10/15

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polynomials
intervals

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Jamaludin, N., Monsi, M., Hassan, N., Zainuddin, N., & Rashid, N. I. (2015). The efficiency of convergence rate for IMSS2-5D procedure. In Innovation and Analytics Conference and Exhibition, IACE 2015: Proceedings of the 2nd Innovation and Analytics Conference and Exhibition (Vol. 1691). [040014] American Institute of Physics Inc.. https://doi.org/10.1063/1.4937064

The efficiency of convergence rate for IMSS2-5D procedure. / Jamaludin, Noraini; Monsi, Mansor; Hassan, Nasruddin; Zainuddin, Nooraini; Rashid, Nur Izzati.

Innovation and Analytics Conference and Exhibition, IACE 2015: Proceedings of the 2nd Innovation and Analytics Conference and Exhibition. Vol. 1691 American Institute of Physics Inc., 2015. 040014.

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

Jamaludin, N, Monsi, M, Hassan, N, Zainuddin, N & Rashid, NI 2015, The efficiency of convergence rate for IMSS2-5D procedure. in Innovation and Analytics Conference and Exhibition, IACE 2015: Proceedings of the 2nd Innovation and Analytics Conference and Exhibition. vol. 1691, 040014, American Institute of Physics Inc., 2nd Innovation and Analytics Conference and Exhibition, IACE 2015, Alor Setar, Kedah, Malaysia, 29/9/15. https://doi.org/10.1063/1.4937064
Jamaludin N, Monsi M, Hassan N, Zainuddin N, Rashid NI. The efficiency of convergence rate for IMSS2-5D procedure. In Innovation and Analytics Conference and Exhibition, IACE 2015: Proceedings of the 2nd Innovation and Analytics Conference and Exhibition. Vol. 1691. American Institute of Physics Inc. 2015. 040014 https://doi.org/10.1063/1.4937064
Jamaludin, Noraini ; Monsi, Mansor ; Hassan, Nasruddin ; Zainuddin, Nooraini ; Rashid, Nur Izzati. / The efficiency of convergence rate for IMSS2-5D procedure. Innovation and Analytics Conference and Exhibition, IACE 2015: Proceedings of the 2nd Innovation and Analytics Conference and Exhibition. Vol. 1691 American Institute of Physics Inc., 2015.
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