Linear Algebra Problems Solved by Using Damped Dynamical Systems on the Stiefel Manifold
Optimization and Control
2026-04-24 v1 Numerical Analysis
Dynamical Systems
Numerical Analysis
Abstract
We develop a new method for solving minimization problems on the Stiefel Manifold using damped dynamical systems. The constraints are satisfied in the limit by an additional damped dynamical system. The method is illustrated by numerical experiments and compared to a state-of-the-art conjugate gradient method.
Cite
@article{arxiv.2510.10535,
title = {Linear Algebra Problems Solved by Using Damped Dynamical Systems on the Stiefel Manifold},
author = {M Gulliksson and A Oleynik and M Ogren and R Bakhshandeh-Chamazkoti},
journal= {arXiv preprint arXiv:2510.10535},
year = {2026}
}