het-joshi / newton-raphson

A C-Language code to find solution of algebraic and transcendental equation by using Newton Raphson method

Newton-Raphson

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This method was named after Sir Isaac Newton and Joseph Raphson. It begins with a function f defined over real numbers, its derivative f′, and an initial guess x0 for the root of f. The solution comes to a stop when the function satisfies the assumptions made in the derivation of the formula and the initial guess is close.

The General Newton Raphson Method Formula is:

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General working algorithm:

1. Compute the values of f(x) and f′(x) for a given initial x.
2. While the ratio of f(x) and f′(x) is greater than allowed error ϵ,xn+1=xn–f(xn)f′(xn)For all values from 0 to n.

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