Abstract:
This article discusses the family of Chebyshev-Halley iterative method with two
parameters obtained through a linear combination of the Newton methods with one
parameter. Analytically it is shown that this method of order three for any value of
the two parameters. If the value of the rst parameter is equal one and the value
of the second parameter can be determined appropriately, so that this method is of
order four. Furthermore, the computational test shows that the discussed method is
better than Chebyshev method, Halley method and Super Halley method in terms
of the error produced in obtaining the estimated root.
