Cody

# Problem 966. Bisection method of finding a root.

Solution 586343

Submitted on 22 Feb 2015 by goc3
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### Test Suite

Test Status Code Input and Output
1   Pass
%% f=@(x) x.^2-4; x_lower = 1; x_upper = 3; es = 0; maxit=1; x_root_correct = 2; assert(isequal(bisection(f,x_lower,x_upper,es,maxit),x_root_correct))

root = 2

2   Pass
%% f=@(x) x.^2-4; x_lower = 1; x_upper = 4; es = 0; maxit=1; x_root = 2.5; assert(isequal(bisection(f,x_lower,x_upper,es,maxit),x_root))

root = 2.5000

3   Pass
%% f=@(x) x.^2-4; x_lower = 1; x_upper = 4; x_root = 2.000000476837158; assert(isequal(bisection(f,x_lower,x_upper),x_root))

root = 2.5000 root = 1.7500 root = 2.1250 root = 1.9375 root = 2.0312 root = 1.9844 root = 2.0078 root = 1.9961 root = 2.0020 root = 1.9990 root = 2.0005 root = 1.9998 root = 2.0001 root = 1.9999 root = 2.0000 root = 2.0000 root = 2.0000 root = 2.0000 root = 2.0000 root = 2.0000 root = 2.0000

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