English

The two-grid algorithm confronts a shifted unitary orthogonal method

High Energy Physics - Lattice 2009-11-10 v1

Abstract

In this paper I describe a new optimal Krylov subspace solver for shifted unitary matrices called the Shifted Unitary Orthogonal Method (SUOM). This algorithm is used as a benchmark against any improvement like the two-grid algorithm. I use the latter to show that the overlap operator can be inverted by successive inversions of the truncated overlap operator. This strategy results in large gains compared to SUOM.

Cite

@article{arxiv.hep-lat/0409078,
  title  = {The two-grid algorithm confronts a shifted unitary orthogonal method},
  author = {Artan Borici},
  journal= {arXiv preprint arXiv:hep-lat/0409078},
  year   = {2009}
}

Comments

Contribution to Lattice 2004 (algorithms)