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MTH603 - Numerical Analysis GDB No-1 Due Date Monday, June 11, 2018

State the difference between Newton-Raphson method and Secant method on the basis of their Geometrical interpretaion?

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The Secant Method only requires one function input, f(x), but two initial guesses. It uses these to approximate the derivative then move to the x axis and repeat the process.

The Newton-Raphson Method requires two functions to be input, f(x) and f'(x), and one initial guess.

Both these methods are following the tangent line of the function to the x-axis then reiterating to bound the root.

I think the Secant Method is interesting because it converges faster or slower depending on how far away your initial guesses are.

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