The Newton-Raphson Method
www.math.ubc.ca › ~anstee › math104The Newton-Raphson Method 1 Introduction The Newton-Raphson method, or Newton Method, is a powerful technique for solving equations numerically. Like so much of the di erential calculus, it is based on the simple idea of linear approximation. The Newton Method, properly used, usually homes in on a root with devastating e ciency.
Bisection and Newton-Raphson Methods
www.cae.tntech.edu › Members › renfroSep 07, 2004 · Newton-Raphson Method Advantages and Disadvantages Newton-Raphson Method Disadvantages The Newton-Raphson method is not guaranteed to find a root. For example, if the starting point x 1 is sufficiently far away from the root for the function f(x) = tan−1 x, the function’s small slope tends to drive the x guesses further and further away ...