Problem 966. Bisection method of finding a root.

Solution 163133

Submitted on 16 Nov 2012

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Khaled Hamed on 16 Nov 2012

This is just a test. The value in the 4th test seems to come from 21 iterations only. The stopping criterion is not working also. Did I get it wrong?

Khaled Hamed on 17 Nov 2012

Oops! my bad, I calculated the stop criterion incorrectly.

Test	Status	Code Input and Output
1	Fail	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)) Error using VisibleTest1 (line 7) Output argument "ans" (and maybe others) not assigned during call to "bisection".
2	Fail	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)) Error using VisibleTest2 (line 7) Output argument "ans" (and maybe others) not assigned during call to "bisection".
3	Fail	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)) Error using VisibleTest3 (line 5) Output argument "ans" (and maybe others) not assigned during call to "bisection".

Test

Status

Code Input and Output

Fail

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))

Error using VisibleTest1 (line 7) Output argument "ans" (and maybe others) not assigned during call to "bisection".

Fail

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))

Error using VisibleTest2 (line 7) Output argument "ans" (and maybe others) not assigned during call to "bisection".

Fail

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))

Error using VisibleTest3 (line 5) Output argument "ans" (and maybe others) not assigned during call to "bisection".

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