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arXiv 1408.6874hep-lat
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Clover Action for Blue Gene-Q和迭代求解器for DWF

Clover Action for Blue Gene-Q and Iterative solvers for DWF

Karthee Sivalingam, Peter Boyle

摘要:

在格点量子色动力学中,模拟物理夸克的一个主要挑战是这些模拟的计算复杂性。在这个过程中,我们描述了蓝色基因Q架构的三叶草费米子行动的优化,以及不同的迭代求解器如何表现为域壁费米子行动。我们发现,优化的三叶草长期实现了最大效率为29.1%和20.2%,分别为单精度和双精度的迭代共轭梯度求解器。对于畴壁费米子作用量(Domain Wall Fermion action,简称BMF),我们发现修正共轭残差(Modified Conjugate Residual,简称MCR)是比CG和GCR更有效的求解器。我们已经开发了一个新的多移位MCR算法,是18.5%的速度相比,多移位CG在RHMC的有理函数的评估。

英文摘要:

In Lattice QCD, a major challenge in simulating physical quarks is the computational complexity of these simulations. In this proceeding, we describe the optimisation of Clover fermion action for Blue gene-Q architecture and how different iterative solvers behave for Domain Wall Fermion action. We find that the optimised Clover term achieved a maximum efficiency of 29.1% and 20.2% for single and double precision respectively for iterative Conjugate Gradient solver. For Domain Wall Fermion action (DWF) we found that Modified Conjugate Residual(MCR) as the most efficient solver compared to CG and GCR. We have developed a new multi-shift MCR algorithm that is 18.5% faster compared to multi-shift CG for the evaluation of rational functions in RHMC.

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