Secant Method (Open Method)

Secant Method

The secant method requires two initial points x0 and x1 which are both reasonably close to the

solution x_. Preferably the signs of y0 = f(x0) and y1 = f(x1) should be different. Once x0 and x1

are determined the method proceeds by the following formula:

xi+1 = xi −

xi − xi−1

yi − yi−1

Netwon Raphson

Newton Raphson Method

In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valuedfunction. The algorithm is first in the class of Householder's methods, succeeded by Halley's method. The method can also be extended to complex functions and to systems of equations.