WOLFRAM|DEMONSTRATIONS PROJECT

Bisection Method

​
2
x
2
-1
cos(x)
x

-2-x
10(x-1.1)(x-0.8)(x-0.6)
iteration step
1
|
|
This Demonstration shows the steps of the bisection root-finding method for a set of functions. You can choose the initial interval by dragging the vertical, dashed lines. Each iteration step halves the current interval into two subintervals; the next interval in the sequence is the subinterval with a sign change for the function (indicated by the red horizontal lines). The method always converges to a root of
f
if
f
is continuous and
f(a)
and
f(b)
have opposite sign.