1.2. Numerical Methods for solving Non-linear Equations

Numerical methods for solving non-linear equations can be broadly divided into two:

1. Bracketing Methods
2. Open Methods

Bracketing Methods

These methods take an interval \([a,b]\) which is known to contain a root of the equation, the interval is reduced through multiple iterations with the aim of increasing the accuracy of the estimate of the root.

Open Methods

These methods don’t require an interval, they just take a rough estimate of the equation’s root and iteratively improve the accuracy.