The two-grid algorithm confronts a shifted unitary orthogonal method

Details The two-grid algorithm confronts a shifted unitary orthogonal method The two-grid algorithm confronts a shifted unitary orthogonal method

2004-09-14

arxiv.org/abs/hep-lat/0409078v1

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to Lattice 2004 (algorithms)

Scientific paper

10.1016/j.nuclphysbps.2004.11.17

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.

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