Davidson–Carver Method

Basics of Calculus Chapter 3, Topic 6—The Davidson–Carver Method The Davidson–Carver Method is a method like Newton’s Method, which approximates solutions to equations. While Newton’s Method uses tangent lines to converge to the root of an equation, Davidson–Carver uses tangent parabolas. This results in fewer steps to arrive at a desired accuracy, but the drawback is that the method is somewhat more complicated, involving the quadratic formula and both the first and second derivatives. In this video the derivation of this method is outlined. The purpose is to compare it as a numerical method to Newton’s Method. This is not really the name of this method, but the author and his friend both came up with it during a church sermon in 1993. We have not seen this method appear in any textbook but it is quite safe to say that it is not original. See http://www.nofrillspublishing.com/calculus/home.html for all videos and information on taking this as an online course.