Enhanced Error Estimates for Augmented Subspace Method
Numerical Analysis
2021-06-02 v1 Numerical Analysis
Abstract
In this paper, some enhanced error estimates are derived for the augmented subspace methods which are designed for solving eigenvalue problems. We will show that the augmented subspace methods have the second order convergence rate which is better than the existing results. These sharper estimates provide a new dependence of convergence rate on the coarse spaces in augmented subspace methods. These new results are also validated by some numerical examples.
Cite
@article{arxiv.2106.00548,
title = {Enhanced Error Estimates for Augmented Subspace Method},
author = {Haikun Dang and Yifan Wang and Hehu Xie and Chenguang Zhou},
journal= {arXiv preprint arXiv:2106.00548},
year = {2021}
}
Comments
19 pages, 24 figures