Quadratic Bezier Homotopy Function for Solving System of Polynomial Equations

Authors

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

DOI:

https://doi.org/10.11113/matematika.v29.n.600

Abstract

We compare standard homotopy function with a proposed quadratic Bezier homotopy function to see which method has greater applicability and greater accuracy. We test the methods on system of polynomial equations by using Newton-Homotopy Continuation method. The results obtained indicate the superior accuracy of our proposed quadratic Bezier homotopy function. Keywords: Numerical method; Polynomial equations; Homotopy function. 2010 Mathematics Subject Classification: 65H05; 65H10; 65H20

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Published

01-12-2013

Issue

Volume 29 (December 2013)

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

Quadratic Bezier Homotopy Function for Solving System of Polynomial Equations. (2013). MATEMATIKA, 29, 159-171. https://doi.org/10.11113/matematika.v29.n.600