Newton's Method on a Mesh of Initial Guesses
Newton's Method on a Mesh of Initial Guesses
This Demonstration shows the path of 50 iterations of Newton's method from a mesh of starting points attempting to solve the cubic equation ++x+=0. A "featured" initial guess is highlighted in blue. If the absolute value of is less than , no iteration is taken.
c
3
3
x
c
2
2
x
c
1
c
0
f'(x)
-5
10