👉 Robinson's method, also known as the Newton-Raphson method for root finding, is an iterative numerical technique used to find roots of real-valued functions or to find zeroes of a complex-valued function. It starts with an initial guess for the root and refines this guess using the function's derivative at that point. The process involves calculating a new estimate by taking the average of the current guess and the function value at that point, effectively moving closer to the root. This method converges quadratically if the initial guess is sufficiently close to the root and the function is well-behaved near the root. The formula is typically expressed as \( x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)} \), where \( x_n \) is the current estimate and \( f'(x_n) \) is its derivative at \( x_n \).
