Multi-Grid Lanczos
M. A. Clark, Chulwoo Jung, Christoph Lehner
TL;DR
This paper introduces a multi-grid Lanczos algorithm that significantly reduces memory usage for large lattice QCD ensembles while maintaining high eigenvector precision, improving computational efficiency.
Contribution
The paper presents a novel multi-grid Lanczos method that decreases memory requirements by an order of magnitude without sacrificing eigenvector accuracy.
Findings
Memory usage reduced by tenfold for large ensembles
Eigenvector precision comparable to exact deflation
Applicable to RBC/UKQCD's 48I and 64I ensembles
Abstract
We present a Lanczos algorithm utilizing multiple grids that reduces the memory requirements both on disk and in working memory by one order of magnitude for RBC/UKQCD's 48I and 64I ensembles at the physical pion mass. The precision of the resulting eigenvectors is on par with exact deflation.
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