(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using the newton raphson method with x0=6, find the root of x^{2}- 2 to 3dp.

Then estimate the number of iterations the bisection method that would be required to achieve the same accuracy.

2. Relevant equations

3. The attempt at a solution

I have done the first part with the newton raphson method and have found that at x5 and x6 the answer of the root of the function is 1.414

However I am not sure how to estimate the number of iterations the bisection method will use, my guess is you use the following formula:

make the interval [1,2] (b=2, a=1) and k= accuracy

then

n must be greater than or equal to: log(b-a)+klog10[tex]/[/tex] log2

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Numerical Methods: Estimating the number of iterations the bisection method will use

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