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iterative methods are used in solving a non-linear equation of
type y = f(x). Newton-Raphson method is one such
technique used because of its simplicity and speed of convergence
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let us assume that the function has a continuous derivative
f'
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our aim is to find the value of x such that f(x) = 0
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for this we choose our initial estimate of x as
x0 and find f(x0)
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then x1 is given by
x1 = x0 - [f(x0) /
f'((x0)]
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continue to find further estimates till the exact solution is
found or the error difference becomes tolerable