非线性方程组求解的Newton法和拟Newton法的比较

In the modern scientific or engineering technology, encounter the problem of nonlinear algebraic equations is often used, Newton method and Quasi-Newton is commonly used for solving nonlinear equations method, Newton method has a better convergence rate, but the calculation is relatively large, the Quasi-Newton can effectively improve the Computing speed, Broyden method and inverse Broyden method is one of rank 1 Quasi-Newton that commonly used, Inverse Broyden method is less than the Broyden method in calculation. This article describes the Newton methods and Quasi-Newton methods in solving nonlinear equations; and then achieves the Newton method and Broyden method, inverse-Broyden method with MATLAB program. Finally, analyzed and compared the algorithms and convergence speed of three kinds of computational with an example.