![]() The reason for its success is that it converges very fast in most cases. The Newton-Raphson method is one of the most used methods of all root-finding methods. Derivatives Using Interpolation Functions.High-Accuracy Numerical Differentiation Formulas.Basic Numerical Differentiation Formulas.Linearization of Nonlinear Relationships.Convergence of Jacobi and Gauss-Seidel Methods.Cholesky Factorization for Positive Definite Symmetric Matrices.According to the above discussion, we can conclude that the Newton Raphson method is an application of derivative which is a power technique to converge a function faster unless the derivative of the function becomes zero. But there are some practical considerations of this method such as it fails when the derivative of a function is zero at its initial guess. It is a powerful technique to find the fastest convergence of a function to its real root. It is also known as an application of derivative because, NR formula uses the tangent line slope. The Newton Raphson Method is a fundamental concept of numerical analysis. It is a point where the change in a function stops to increase or decrease. Usually the derivative becomes zero on a stationary point. If the derivative of a function becomes zero, the NR method is unable to calculate the real root.If the derivative of a function cannot be easily calculated, the convergence of the NR method slows down. The Newton method requires the derivative of a function to be calculated directly.There are a few practical considerations that affect the convergence of the NR method. Generally its convergence is quadratic as the method converges on the root. ![]() Practical Considerations of Newton Raphson MethodĪlthough Newton method is one of the most efficient iterative methods that converges faster. It is used to calculate reactive/active power, voltage or current to get a complete understanding of a power flow system. ![]() It is used to analyse the flow in watch distribution networks. ![]()
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