Gregory Newton Backward Interpolation Method can be used to derive difference formula when the x values are at equidistant intervals and the value to be interpolated lies towards the end of the table. Below is a detailed explanation of how to apply Gregory Newton Backward Interpolation Method –

Below is an amazing solution to prove that when n=2, Lagranges interpolation formula reduces to Linear interpolation –

We use various Numerical methods to solve algebraic and transcendental equations. All these methods converge the result to a single root after various approximations specific to each method. In this article we delve into details of rate of convergence of two popular methods – Iterative and Newton Raphson method. Enjoy!

Jacobi’s Iteration method is an interesting method to solve equations by simple iteration method. Here is an example –  

Here is an excellent example of Gauss Seidal elimination method to solve a set of equations –

Here is an intelligent and simple way to find the inverse of a matrix using Gauss Elimination method –

Here is a well explained solution to solve a set of equations using Gauss Jordan Elimination method –

Below is a well explained solution for a set of equations using Gauss Elimination method. Enjoy!  

We will be using Newton Raphson method to find the root of this equation. Enjoy!