ruutmeetod
Ruutmeetod, also known as the quadratic method or root-finding method, is a numerical technique used to approximate the roots of a polynomial equation. It is a specific application of Newton's method, adapted for the context of finding roots. The core idea of Ruutmeetod is to iteratively refine an initial guess of a root by using the value of the polynomial and its derivative at the current guess.
The formula for the Ruutmeetod iteration is given by:
x_(n+1) = x_n - f(x_n) / f'(x_n)
where x_n is the current approximation of the root, x_(n+1) is the next approximation, f(x) is the
The method starts with an initial guess, x_0, which is believed to be close to a root.
Ruutmeetod is known for its rapid convergence when the initial guess is sufficiently close to a root