The interval zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros

Atiyah Wan Mohd Sham, Mansor Monsi, Nasruddin Hassan

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A new modified method IZSS1-5D for the simultaneously bounding all the real zeros of a polynomial is formulated in this paper. The efficiency of this method is measured on the CPU times and the number of iterations after satisfying the convergence criteria where the results are obtained using five tested polynomials. The analysis performed shows that the R-order of convergence of this new procedure is at least five. The programming language used to obtain the numerical results is Matlab R2012, a software in association with Intlab V5.5 toolbox. The numerical results indicate that the procedure IZSS1-5D outperformed the IZSS1 in computational times and number of iterations.

Original languageEnglish
Pages (from-to)325-336
Number of pages12
JournalMalaysian Journal of Mathematical Sciences
Volume9
Issue number2
Publication statusPublished - 2015

Fingerprint

Polynomial Zeros
R-order of Convergence
Iteration
Numerical Results
Convergence Criteria
Interval
Polynomial
CPU Time
Programming Languages
MATLAB
Software
Zero

Keywords

  • CPU time
  • Initial disjoint intervals
  • Interval
  • Number of iteration

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The interval zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros. / Sham, Atiyah Wan Mohd; Monsi, Mansor; Hassan, Nasruddin.

In: Malaysian Journal of Mathematical Sciences, Vol. 9, No. 2, 2015, p. 325-336.

Research output: Contribution to journalArticle

Sham, Atiyah Wan Mohd ; Monsi, Mansor ; Hassan, Nasruddin. / The interval zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros. In: Malaysian Journal of Mathematical Sciences. 2015 ; Vol. 9, No. 2. pp. 325-336.
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