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

For

cos(x)-1 = 0, the Newton raphson function is g(x) = x-tan(x/2)

Use Steffenson's algorithm with g(x) and start with p0, and find

p1, p2, p3, then find p4, p5, p6

2. Relevant equations

Using Aitken's process with fixed point iteration

3. The attempt at a solution

Find p1,p2,p3 using fixed point:

So p1 = g(p0); p2 = g(p1);...

plug these values into aitken's formula:

q0 = p0 - (p1-p0)^2/......

And here I get q0

What should I do next?

Thanks a lot.

If you can also provide an example that demonstrates the use of Aitken's process with Newton's Method and second for Steffenson? I am using Matthew's Numerical Methods and it really does not provide any information about how to use them.

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# Homework Help: Aitken's and Steffenson's Process

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