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

How to Cite

Mohamad Nor, H., Md. Ismail, A. I., & Majid, A. A. (2013). Quadratic Bezier Homotopy Function for Solving System of Polynomial Equations. MATEMATIKA, 29, 159–171. https://doi.org/10.11113/matematika.v29.n.600

Issue

Volume 29 (December 2013)

Section

Mathematics

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.