bisection
[r, iter] = bisection(f,a,b,tol,maxit) uses the bisection method to find a root for the function f in the interval [a,b].
Returns the root (r) and the number of iterations to find it (iter).
Returns the root (r) and the number of iterations to find it (iter).
Options | Description | Values | Default values |
tol | Tolerance on the function value | positive integer | 1e-6 |
maxit | Maximum number of iterations | positive integer | 100 |
Examples
>> f = @(x) cos(x) a = 0 b = 3 [f:@(x) cos(x)] [a:0] [b:3] >> [r, i] = bisection(f,a,b) [r:1.5708] [i:20] >> op = struct('show', false) overlay({plot(a:0.1:b, f(a:0.1:b),op), scatter(r,0,op)}) [op:1x1 struct] [ans:1x1 struct] 0.157000s