x= -10:0.01:10;
g = x^5-3*x^3-2*x^2+2;
plot(x, g);hold on;
fixed_g = x^5-3*x^3-2*x^2+2;
plot(x, fixed_g, 'o');I got an error .Jaime_mc2 said:
I got an error .Jaime_mc2 said:
Fixed-point iteration is a numerical method used to find the roots of a nonlinear equation. It involves repeatedly applying a function to an initial guess until the resulting value is within a desired tolerance of the true solution.
In MATLAB, fixed-point iteration can be implemented using a while loop that checks for convergence based on a specified tolerance. The function being iterated can be defined as a separate function or as an anonymous function within the loop.
Fixed-point iteration is a simple and easy-to-understand method for solving nonlinear equations. It also allows for a high degree of control over the convergence criteria and can handle a wide range of functions.
Fixed-point iteration can be slow to converge for certain functions, and it may not converge at all if the initial guess is too far from the true solution. It also requires the function to be continuously differentiable.
There are several techniques that can be used to improve the convergence of fixed-point iteration, such as using a different initial guess, modifying the function being iterated, or using a different convergence criteria. It may also be helpful to plot the function to get a better understanding of the behavior near the root.