- #1

rootX

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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.