Adaptive Step Size Strategy for Orthogonality Constrained Line Search Methods
Optimization and Control
2020-02-21 v2
Abstract
In this paper, we propose an adaptive step size strategy for a class of line search methods for orthogonality constrained minimization problems, which avoids the classic backtracking procedure. We prove the convergence of the line search methods equipped with our adaptive step size strategy under some mild assumptions.We then apply the adaptive algorithm to electronic structure calculations, which show that our strategy is efficient and recommended.
Cite
@article{arxiv.1906.02883,
title = {Adaptive Step Size Strategy for Orthogonality Constrained Line Search Methods},
author = {Xiaoying Dai and Liwei Zhang and Aihui Zhou},
journal= {arXiv preprint arXiv:1906.02883},
year = {2020}
}
Comments
27 pages, 5 figures, 4 tables