In: Advanced Math
Let f(x) = x - R/x and g(x) = Rx - 1/x
a) Derive a Newton iteration formula for finding a root of f(x)
that does not involve 1/xn. To which value does the
Newton iterates xn converge?
b) Derive a Newton iteration formula for finding a root of g(x) that does not involve 1/xn. To which value does the Newton iterates xn converge?