- #1
thedc
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Homework Statement
[Divide and average Method] Square root of 2 was computed using the formula
Xi+1 = 1/2 ( Xi + 2/Xi).------------ (1)
Derive this method from the Newton-Raphson Formula
Homework Equations
The Attempt at a Solution
Im boggled at how to derive this solution.
The equation for Newton Raphson is
F'(Xi) = (F(Xi) - 0) / Xi -(Xi+1) ------------- (2)
which can be rearranged to
Xi+1 = Xi - F(Xi) / F'(Xi)--------- (3)
does this mean that i take the derivative of the equation (1)?
(Xi+1)' =1/2(Xi+2/Xi)
= ??