## Quick Reference

An iterative method for solving a non-linear equation which is similar in many respects to the bisection method, except that the interval does not have to be bisected—any intermediate value can be chosen. For example, to solve *f*(*x*)=*x*^{3}+*x*−3=0 you find *f*(1)=−1 and *f*(2)=7. You know there is a solution between *x*=1 and *x*=2, but it is likely to be closer to 1 than 2 so you might use 1.2, next with *f*(*x*)=−0.072. This method allows the solution to be identified more quickly than through the bisection method. Also known as trial and improvement.

*Subjects:*
Computing.