In spite of what might appear at first glance to be some quite complicated Equations, it will be found that the Newton-Raphson process, y=y−F/F′, is quite straightforward to program, a...In spite of what might appear at first glance to be some quite complicated Equations, it will be found that the Newton-Raphson process, y=y−F/F′, is quite straightforward to program, although, for computational purposes, F and F′ are better written as Suppose the initial guesses are x+h, y+k, where x, y are the correct solutions, and h and k are the errors of our guess.