Newton Raphson Method for the Solution of Systems of Equations

Abstract: The paper is about Newton Raphson Method which is all-inclusive to solve the non-square and non-linear problems. The study also aims to comparing the rate of performance, rate of convergence of Bisection method, root findings of the Newton meted and Secant method. It also represents a new approach of calculation using nonlinear equation and this will be similar to Newton Raphson simple method and inverse Jacobian matrix will be used for the iteration process and this will be further used for distributed power load flow calculation and will also be helpful in some of the applications. The paper also discusses the difference between the use of built in derivative function and self- derivative function in solving non-linear equation in scientific calculator. The derivation Newton Raphson formula, algorithm, use and drawbacks of Newton Raphson Method have also been discussed.

Keywords: convergence method, iteration method, self-derivation, algorithm complexity, square root of 2, computational.