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Homework Statement
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
Homework Equations
Using Aitken's process with fixed point iteration
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.