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

01-06-2014

Issue

Volume 30 (June 2014)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Numerical Solution of Polynomial Equations using Ostrowski Homotopy Continuation Method. (2014). MATEMATIKA, 30, 47-57. https://doi.org/10.11113/matematika.v30.n.662