Hi Sanat,
The Newton-Raphson (NR) method is a popular iterative technique for finding successively better approximations to the roots (or zeroes) of a real-valued function. The standard NR method typically has a quadratic convergence rate, meaning it converges very quickly near the root if the initial guess is sufficiently close.
To modify the NR method to achieve a convergence order , you can use a technique known as the Halley’s method, which is a third-order iterative method.
Hope this helps.
