Bisection method
![A few steps of the bisection method applied over the starting range [a1;b1]. The bigger red dot is the root of the function.](/uploads/202501/27/Bisection_method.svg4342.png)
The bisection method in mathematics is a root-finding method that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. It is a very simple and robust method, but it is also relatively slow. Because of this, it is often used to obtain a rough approximation to a solution which is then used as a starting point for more rapidly converging methods. The method is also called the interval halving method, the binary search method, or the dichotomy method.