Question

Newton Method HELP!!!
numerical analysis

establish newton's iterative scheme in simplified form,not involving the reciprocal of x, for the function f(x)=xR-x^-1

Answer 1

what does \(xR-x^{-1}\) mean?

Answer 2

R is the root

Answer 3

root of?

Answer 4

\[\sqrt{x}-\frac{1}{x}\]?

Answer 5

in any case you want
\[x_{n+1}=x_{n}-\frac{f(x_n)}{f'(x_n)}\] and then probably some algebra to make it look nicer