English

A Peaceman-Rachford Splitting Method for the Protein Side-Chain Positioning Problem

Optimization and Control 2023-03-27 v2

Abstract

We formulate a doubly nonnegative (DNN) relaxation of the protein side-chain positioning (SCP) problem. We inherit the natural splitting of variables that stems from the facial reduction technique in the semidefinite relaxation. We solve the relaxation using a variant of the Peaceman-Rachford splitting method. Our numerical experiments show that we solve almost all instances of the NP-hard SCP problem to optimality.

Cite

@article{arxiv.2009.01450,
  title  = {A Peaceman-Rachford Splitting Method for the Protein Side-Chain Positioning Problem},
  author = {Forbes Burkowski and Jiyoung Im and Henry Wolkowicz},
  journal= {arXiv preprint arXiv:2009.01450},
  year   = {2023}
}

Comments

23pages, 2 figures

R2 v1 2026-06-23T18:17:04.977Z