Numerical Methods
Finding a zero of a
function
How fast is this method?
x
f(x)
f ‘ (x)
–f(x)
/ f ‘ (x)
2
-1
3
0.333333333
2.333333333
0.37037037
5.333333333
-0.069444444
2.263888889
0.018955225
4.79224537
-0.003955395
2.259933493
5.92593E-05
4.762297224
-1.24434E-05
2.25992105
5.85258E-10
4.762203157
-1.22896E-10
2.25992105
0
4.762203156
0
Newton-Raphson Method