Approximation of Inverse Hessian or Inverse Hessian Square Root times a vector

294 Views Asked by At

I know there are good methods for approximating a Hessian times a vector without actually forming the hessian. (Example here).

Are there any methods of approximating the Inverse of hessian times a vector? (e.g., $H^{-1}x$)?

What about $H^{-1/2}x$?