Thread: Bisection algorithm

Suppose a bisection algorithm has been used to solve the equation g(x)=0, with intial interval [a,b]=[-2,2]. which of the following number is a possible output of the algorithm? i)3/5 , ii)-3/4, iii)7/2.

Does possible output mean possible root of g(x)? 7/2 is outside the interval so not possible output?

Can you give me some help please.

thanks

Originally Posted by charikaar

Suppose a bisection algorithm has been used to solve the equation g(x)=0, with intial interval [a,b]=[-2,2]. which of the following number is a possible output of the algorithm? i)3/5 , ii)-3/4, iii)7/2.

Does possible output mean possible root of g(x)? 7/2 is outside the interval so not possible output?

Can you give me some help please.

thanks

The bisection algorithm if g(a)g(b)<0 with a<b, will converge to a point in [a,b]

CB