Numerical Solution of Polynomial Equations using Ostrowski Homotopy Continuation Method

Authors

  • Hafizudin Mohamad Nor
  • Amirah Rahman
  • Ahmad Izani Md. Ismail
  • Ahmad Abdul Majid

DOI:

https://doi.org/10.11113/matematika.v30.n.662

Abstract

It is known that homotopy continuation methods (HCM) used in con- junction with a classical numerical method to compute roots of nonlinear algebraic equations can improve the performance of the classical numerical method. In this pa- per, we develop an Ostrowski-HCM method and apply it to solve several polynomial equations. The results obtained indicate that Ostrowski-HCM performs better than Ostrowski’s method. Keywords : Numerical method; Polynomial equations; Ostrowski’s method; Homo- topy continuation method. 2010 Mathematics Subject Classification 65H05; 65H10; 65H20.

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Published

2014-06-01

Issue

Section

Mathematics