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.
The Newton-Raphson
learn.lboro.ac.uk › 12_3_newtn_raphsn_mthdNewton-Raphson Method If f(x) has a simple root near x n then a closer estimate to the root is x n+1 where x n+1 = x n − f(x n) f0(x n) This is the Newton-Raphson iterative formula. The iteration is begun with an initial estimate of the root, x 0, and continued to find x 1,x 2,... until a suitably accurate estimate of the position of the ...