Purnama, Yuli Syafti2016-04-272016-04-272016-04-27wahyu sari yenihttp://repository.unri.ac.id/xmlui/handle/123456789/8318This 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.enNewton methodChebyshev-Halley methodorder of convergencenon- linear equationstudent Paper Post Degree