The bisection method finds a root by repeatedly halving an interval where a continuous function changes sign.
What Is Bisection Method?
The bisection method finds a root by repeatedly halving an interval where a continuous function changes sign.
Examples of Bisection Method
1
For f(x)=x²−2 on [1,2], repeatedly halve the interval.Formula and Key Points
Formula / rule
mid=(a+b)/2
- Know the definition and standard notation for Bisection Method.
- Be able to recognise or compute bisection method in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.
Related Math Terms
Bisection Method: Frequently Asked Questions
What is Bisection Method?
The bisection method finds a root by repeatedly halving an interval where a continuous function changes sign.
Why is Bisection Method useful in computer science?
Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.