Hey guys, I can't get his question dealing with orders of convergence at all so any help would be nice.
Q: Find the conditions on A so that the iteration $$x_{n+1}=x_n-Af(x_n)$$ will converge to a root of f if stared near the root.
I know I should look at the taylor series expansion of f about...
Hey guys, need some help with this question. I am stuck and don't know what to do.
Q: Show that using Newton's method to $$1-\frac{R}{x^n}$$ and to $$x^n-R$$ for determining $$(R)^{\frac{1}{n}}$$ results in 2 similar, but different iterative formulas, with $$n \ge 2$$ and $$R >0$$
Thanks for...