Fixed point stability for an iteration
= Fixed point stability for an iteration
A fixed point $x_*$ of $x_{n+1}=g(x_n)$ is locally asymptotically stable when $|g\prime(x_*)|<1$.
= Fixed point stability for an iteration
A fixed point $x_*$ of $x_{n+1}=g(x_n)$ is locally asymptotically stable when $|g\prime(x_*)|<1$.