English

Deflation of Eigenvalues for Iterative Methods in Lattice QCD

High Energy Physics - Lattice 2009-11-10 v1

Abstract

Work on generalizing the deflated, restarted GMRES algorithm, useful in lattice studies using stochastic noise methods, is reported. We first show how the multi-mass extension of deflated GMRES can be implemented. We then give a deflated GMRES method that can be used on multiple right-hand sides of Ax=bAx=b in an efficient manner. We also discuss and give numerical results on the possibilty of combining deflated GMRES for the first right hand side with a deflated BiCGStab algorithm for the subsequent right hand sides.

Keywords

Cite

@article{arxiv.hep-lat/0309068,
  title  = {Deflation of Eigenvalues for Iterative Methods in Lattice QCD},
  author = {Dean Darnell and Ronald B. Morgan and Walter Wilcox},
  journal= {arXiv preprint arXiv:hep-lat/0309068},
  year   = {2009}
}

Comments

Lattice2003(machine)

R2 v1 2026-07-22T13:14:11.421Z