2019International Journal for Research in Applied Science and Engineering TechnologyOpen access

Newton Raphson Single and Multiple Variable Methods to obtain the Solutions of Linear and Non-Linear Equations

Vishal Vaman Mehtre

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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 finding 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 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 useful in some of the applications.The paper also difference the use of built in derivative function and self-derivative function in solving non-linear equation in scientific calculator. And paper also discuss about single variable and multi variable Newton-Raphson techniques .I.

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What this paper is about

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 finding 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 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 useful in some of the applications.The paper also difference the use of built in derivative function and self-derivative function in solving non-linear equation in scientific calculator. And paper also discuss about single variable and multi variable Newton-Raphson techniques .I.

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Available 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 finding 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 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 useful in some of the applications.The paper also difference the use of built in derivative function and self-derivative function in solving non-linear equation in scientific calculator. And paper also discuss about single variable and multi variable Newton-Raphson techniques .I.

Key concepts: Variable (mathematics), Newton's method, Applied mathematics, Mathematics, Mathematical analysis, Nonlinear system, Physics, Quantum mechanics

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