English

A Restricted Dual Peaceman-Rachford Splitting Method for QAP

Optimization and Control 2020-06-03 v1

Abstract

We revisit and strengthen splitting methods for solving doubly nonnegative, DNN, relaxations of the quadratic assignment problem, QAP. We use a modified restricted contractive splitting method, PRSM, approach. Our strengthened bounds and new dual multiplier estimates improve on the bounds and convergence results in the literature.

Cite

@article{arxiv.2006.01529,
  title  = {A Restricted Dual Peaceman-Rachford Splitting Method for QAP},
  author = {Naomi Graham and Hao Hu and Haesol Im and Xinxin Li and Henry Wolkowicz},
  journal= {arXiv preprint arXiv:2006.01529},
  year   = {2020}
}
R2 v1 2026-06-23T15:59:21.737Z