We know that the eigenvalues of a Hessian matrix can provide information about the curvature of a function under study.
Specifically, we know that the sign of the eigenvalues give us information whether the function is increasing or decreasing.
I am curious to know if the magnitude of eigenvalues of the Hessian of a function gives information about the steepness of curvature of the given function?
I searched alot but I cannot find any relevant sources to learn this from. Please share any sources you have. It helps me.