费米子反相器中的压缩方法
Deflation Methods in Fermion Inverters
摘要：
我将回顾Ronald Morgan/Walter Wilcox、Andreas Stathopoulos/Konstantinos Orginos和Martin Lüscher在矩阵收缩方法方面的最新进展，并将其应用于格点量子色动力学费米子反演。我将首先简要回顾一下该领域与通货紧缩有关的工作。将描述使用GMRES和BiCGStab进行回缩的Morgan/Wilcox算法。淬火（威尔逊和扭曲质量）和动态配置（CP-PACS和ETMC）的典型结果将显示和讨论。我将概述如何在这些方法的版本中包含多个右侧和多个移位。我还将回顾基于Stathopoulos和Orginos为具有多个右侧的埃尔米特系统引入的共轭梯度的收缩方法，以及使用广义共轭残差的Lüscher非埃尔米特区域分解算法。
英文摘要：
I will review recent developments in matrix deflation methods, by Ronald Morgan/Walter Wilcox, Andreas Stathopoulos/Konstantinos Orginos, and Martin Lüscher, with application to lattice QCD fermion inversion. I will begin with a short review of deflation-related work in the field. The Morgan/Wilcox algorithms using GMRES and BiCGStab for deflation will be described. Typical results for quenched (Wilson and twisted mass) and dynamical configurations (CP-PACS and ETMC) will be displayed and discussed. I will outline how inclusion of multiple right-hand sides and multiple shifts can be accommodated within versions of these methods. I will also review deflation methods based on Conjugate Gradient introduced by Stathopoulos and Orginos for hermitian systems with multiple right-hand sides as well as Lüscher's non-hermitian domain decomposition algorithm using Generalized Conjugate Residual.}
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