Krylov子空间方法与符号函数：非厄米情况下的多移位与紧缩
高能物理 - 格点
2010-05-19 v1
摘要
矩阵符号函数的有理逼近导致了多移位方法。对于非厄米矩阵，长递推可能导致存储问题，这可以通过重启来规避。结合紧缩，我们获得了高效的迭代方法，正如我们在非零夸克化学势下、格点尺寸高达10^4的overlap Dirac算符数值实验中所展示的那样。
引用
@article{arxiv.0910.2927,
title = {Krylov subspace methods and the sign function: multishifts and deflation in the non-Hermitian case},
author = {Jacques C. R. Bloch and Tobias Breu and Andreas Frommer and Simon Heybrock and Katrin Schäfer and Tilo Wettig},
journal= {arXiv preprint arXiv:0910.2927},
year = {2010}
}
备注
8 pages, 2 figures, proceedings of the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Bejing, China