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arXiv 1701.00726hep-lat
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布里渊action作为重叠过程核的适用性

On the suitability of the Brillouin action as a kernel to the overlap procedure

Stephan Durr, Giannis Koutsou

摘要:

我们调查的布里渊行动在其是否适合作为一个内核的重叠程序,重和轻夸克物理的观点。我们使用的对角元素的稀疏矩阵的符号函数的迭代的Alfrey-Laub家庭,因为他们单调增长,并促进级联预处理策略与不同的有理逼近的符号函数。我们发现,与布里渊内核的重叠行动是显着更好地本地化比威尔逊内核的版本。

英文摘要:

We investigate the Brillouin action in terms of its suitability as a kernel to the overlap procedure, with a view on both heavy and light quark physics. We use the diagonal elements of the Kenney-Laub family of iterations for the sparse matrix sign function, since they grow monotonically and facilitate cascaded preconditioning strategies with different rational approximations to the sign function. We find that the overlap action with the Brillouin kernel is significantly better localized than the version with the Wilson kernel.

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