Modified block BiCGSTAB for lattice QCD
Modified block BiCGSTAB for lattice QCD
复制标题
DOI：
10.1016/j.cpc.2011.08.010
复制
发表时间：
2011-04
期刊：
影响因子：
--
通讯作者：
Y. Nakamura;K. Ishikawa;Y. Kuramashi;T. Sakurai;Hiroto Tadano
中科院分区：
文献类型：
--
作者：
Y. Nakamura;K. Ishikawa;Y. Kuramashi;T. Sakurai;Hiroto Tadano
本文给出了用QR分解和SAP预条件改进的块BiCGSTAB算法在近似物理夸克质量的323×64和644晶格QCD中具有多个右手边的Wilson-Dirac方程的应用结果。QR分解改善了块BiCGSTAB算法的收敛性，抑制了真残差与递归残差之间的偏差。应用于域分解晶格的SAP预调节器帮助我们最小化通信开销。由于缓存调优和迭代次数的减少，我们发现了显著的成本降低。
We present results for application of block BiCGSTAB algorithm modified by the QR decomposition and the SAP preconditioner to the Wilson–Dirac equation with multiple right-hand sides in lattice QCD on 323×64 and 644lattices at almost physical quark masses. The QR decomposition improves convergence behaviors in the block BiCGSTAB algorithm suppressing deviation between true residual and recursive one. The SAP preconditioner applied to the domain-decomposed lattice helps us minimize communication overhead. We find remarkable cost reduction thanks to cache tuning and reduction of number of iterations.