English

A linearly convergent method for solving high-order proximal operator

Optimization and Control 2023-09-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2309.01306,
  title  = {A linearly convergent method for solving high-order proximal operator},
  author = {Jingyu Gao and Xiurui Geng},
  journal= {arXiv preprint arXiv:2309.01306},
  year   = {2023}
}
R2 v1 2026-06-28T12:11:44.109Z