On Methods Derived from Hansen-Patrick Formula for Refining Zeros of Polynominal Equation

Authors

  • Stephen Uwamusi Department of Mathematics, University of Benin, Edo State, Nigeria

Keywords:

Hansen-Patrick formula, binomial series, Taylor polynomial equation, Laguerre’s disk, polynomial zeros, Chevbyshev’s functional iteration

Abstract

A one-parameter family of iteration functions as derived by Hansen and Patrick (1977) was studied. The Halley’s method was of particular interest, which was modified by using the Taylor polynomial equation of order two to obtain the well-known Chevbyshev’s iteration formula. Further, using the Laguerre’s disk, two new methods were constructed out of the Chevbyshev’s functional iteration fomula. The obtained methods may, and often will, depend on

the already calculated values.

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Published

2005-10-24

How to Cite

Uwamusi, S. (2005). On Methods Derived from Hansen-Patrick Formula for Refining Zeros of Polynominal Equation. Biological Sciences - PJSIR, 48(5), 297–302. Retrieved from https://v2.pjsir.org/index.php/biological-sciences/article/view/1399