Super Ostrowski Homotopy Continuation Method for Solving Polynomial System of Equations

Authors

  • Hafizudin Mohamad Nor Universiti Sains Malaysia
  • Amirah Rahman Universiti Sains Malaysia
  • Ahmad Izani Md. Ismail Universiti Sains Malaysia
  • Ahmad Abd. Majid Universiti Sains Malaysia

DOI:

https://doi.org/10.11113/matematika.v32.n1.685

Abstract

Homotopy continuation methods (HCMs) can be used to find the solutions of polynomial equations. The advantages of HCMs over classical methods such as the Newton and bisection methods are that HCMs are able to resolve divergence and starting value problems. In this paper, we develop Super Ostrowski-HCM as a technique to overcome the starting value problem.  We compare the performance of this proposed method with Ostrowski-HCM. The results provide evidence of the superiority of Super Ostrowski-HCM.

Author Biographies

Hafizudin Mohamad Nor, Universiti Sains Malaysia

Pusat Pengajian Sains Matematik USM

Amirah Rahman, Universiti Sains Malaysia

PPSM USM

Ahmad Izani Md. Ismail, Universiti Sains Malaysia

PPSM USM

Ahmad Abd. Majid, Universiti Sains Malaysia

PPSM USM

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Published

2016-06-30

Issue

Section

Articles