In numerical analysis, Newton's method (also known as the Newton–Raphson method) is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.
In numerical analysis, Newton's method (also known as the Newton–Raphson method) is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.
Formula:
In this formula x
n + 1
is the next closest approximation after x
n
, f
(xn
) is the function at x
n
and f'
(xn
) is the derivative of the function at x
n
.
First approximation x
0
has to be in interval (a,b)
where exact solution x*
is situated.