格点量子色动力学的修正块BiCGSTAB
Modified Block BiCGSTAB for Lattice QCD
摘要：
本文将QR分解和SAP预条件子改进的块BiCGSTAB算法应用于$32^3 \times 64$格格点量子色动力学中具有多个右端的Wilson-Dirac方程，得到了夸克质量几乎为物理质量的结果. QR分解改善了块BiCGSTAB算法的收敛性能，抑制了真实残差与递归残差之间的偏差。应用于域分解格的SAP预处理器帮助我们最小化通信开销。我们发现由于缓存调整和迭代次数的减少，成本显著降低。
英文摘要：
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 a $32^3 \times 64$ lattice 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
