def compare_methods(f, df, a, b, x0, tol=1e-6, max_iter=1000): Compare the number of steps taken by the Bisection and Newton-Raphson methods to converge to a root. Parameters: - f: The function for ...

This project demonstrates how to use the Newton-Raphson numerical method to solve the equation sin(x) = 0, thereby calculating an approximate value of π. The Newton-Raphson method is an efficient ...

The stability of Newton's methods for function minimization, or variants of it such as quasi-Newton or Newton-Raphson methods, can be improved by modifying the acceleration matrix by adding a scalar ...

Finding the real solutions of a bivariate polynomial system is a central problem in robotics, computer modeling and graphics, computational geometry, and numerical optimization. We propose an ...