This method, Newton raphson helps to approximate the root of a non linear equation.
The presentation also tells about the Advantages and disadvantages of the method.
6. SStteepp 22
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Calculate the next estimate of the root
x = x - f(x )
i
f'(x )
i
i+1 i
Find the absolute relative approximate error
x 100
= x - x
i i
1
1
x
i
a
+
Î +
7. SStteepp 33
Find if the absolute relative approximate error is greater
than the pre-specified relative error tolerance.
If so, go back to step 2, else stop the algorithm.
Also check if the number of iterations has exceeded the
maximum number of iterations.
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8. EExxaammppllee
Solve the given equation using Newton’s method using 3 iterations:
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f ( x) = x3-0.165x2+3.993x10-4