Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD

Tadano H; Kuramashi Y; Sakurai T

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Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD

机译：预处理块BiCGGR在晶格QCD中具有多个右侧的Wilson-Dirac方程中的应用

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There exist two major problems in application of the conventional block BiCGSTAB method to the O (a)improved Wilson-Dirac equation with multiple right-hand sides: One is the deviation between the true and the recursive residuals. The other is the convergence failure observed at smaller quark masses for enlarged number of the right-hand sides. The block BiCGGR algorithm which was recently proposed by the authors succeeds in solving the former problem. In this article we show that a preconditioning technique allows us to improve the convergence behavior for increasing number of the right-hand sides.

机译：在将常规的块BiCGSTAB方法应用于具有多个右侧的O（a）改进的Wilson-Dirac方程时，存在两个主要问题：一是真实残差和递归残差之间的偏差。另一个是在夸克质量较小的情况下，随着右侧数量的增加，收敛失败。作者最近提出的块BiCGGR算法成功地解决了前一个问题。在本文中，我们证明了预处理技术可让我们为增加右侧数量而改善收敛性能。

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《Computer physics communications》 |2010年第5期|共4页
作者
Tadano H; Kuramashi Y; Sakurai T;
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正文语种 eng
中图分类计算机的应用;
关键词
Lattice gauge theory; Lattice Dirac equation; Multiple right-hand sides; Block Krylov subspace; Preconditioning;

机译：格规理论格狄拉克方程多个右侧块Krylov子空间预处理;

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专利

1. Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD [J] . Tadano H, Kuramashi Y, Sakurai T Computer physics communications . 2010,第5期

机译：预处理块BiCGGR在晶格QCD中具有多个右侧的Wilson-Dirac方程中的应用
2. Development of the Block BiCGGR2 method for linear systems with multiple right-hand sides [J] . Tadano Hiroto Japan journal of industrial and applied mathematics . 2019,第2期

机译：具有多个右侧的线性系统块BICGGR2方法的开发
3. A spectrally preconditioned and initially deflated variant of the restarted block GMRES method for solving multiple right-hand sides linear systems [J] . Sun Dong-Lin, Carpentieri Bruno, Huang Ting-Zhu, International Journal of Mechanical Sciences . 2018,第期

机译：用于求解多个右侧线性系统的重新启动块GMRES方法的光谱预先处理和最初限制变型
4. Accuracy Improvement of the Shifted Block BiCGGR Method for Linear Systems with Multiple Shifts and Multiple Right-Hand Sides [C] . Hiroto Tadano, Shusaku Saito, Akira Imakura International workshop on eigenvalue problems: algorithms, software and applications in petascale computing . 2017

机译：多档和多右侧线性系统移动块BICGGR方法的准确性改进
5. The QCD equation of state with charm quarks from lattice QCD [D] . Cheng, Michael 2008

机译：来自晶格QCD的带有夸克夸克的QCD状态方程
6. A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications [O] . Yuji Liu, Bashir Ahmad -1

机译：具有单基点和多基点的脉冲多项式分数阶微分方程的研究及其应用
7. Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD [O] . Tadano, H., Kuramashi, Y., Sakurai, T. 2009

机译：预处理块BiCGGR在Wilson-Dirac方程中的应用在格子QCD中有多个右侧
8. Taxonomy and Comparison of Parallel Block Multi-level Preconditioners for the Incompressible Navier--Stokes Equations [R] . Elman, H., Howle, V. E., Shadid, J., 2007

机译：不可压缩Navier - stokes方程并行块多层预处理器的分类与比较

Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD

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