PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Poster Session
Hierarchically deflated conjugate residua
A. Yamaguchi,* P.A. Boyle
*corresponding author
Full text: pdf
Pre-published on: February 23, 2017
Published on: March 24, 2017
Abstract
We present a progress report on a new class of multigrid solver algorithm suitable for the solution
of 5d chiral fermions such as Domain Wall fermions and the Continued Fraction overlap. Unlike
HDCG [1], the algorithm works directly on a nearest neighbour fine operator. The fine operator
used is Hermitian indefinite, for example $Γ_{5}D_{dwf}$, and convergence is achieved with an indefinite
matrix solver such as outer iteration based on conjugate residual. As a result coarse space representations
of the operator remain nearest neighbour, giving an 8 point stencil rather than the 81
point stencil used in HDCG. It is hoped this may make it viable to recalculate the matrix elements
of the little Dirac operator in an HMC evolution
DOI: https://doi.org/10.22323/1.256.0374
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