  Recently, various high-order methods have been developed to solve the convex
optimization problem. The auxiliary problem of these methods shares the general
form that is the same as the high-order proximal operator proposed by Nesterov.
In this paper, we present a linearly convergent method to solve the high-order
proximal operator based on the classical proximal operator. In addition, some
experiments are performed to demonstrate the performance of the proposed
method.
