English

The PZ method for estimating determinant ratios, with applications

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We introduce a new method for estimating determinants or determinant ratios of large matrices, which combines the techniques of Pad\`{e} approximation with rational functions and Z2Z_{2} noise estimation of traces of large matrices. The method requires simultaneously solving several matrix equations, which can be conveniently accomplished using the MR method. We include some preliinary results, and indicate potential applications to non-Hermitian matrices, and Hybrid Monte Carlo without pseudofermions.

Keywords

Cite

@article{arxiv.hep-lat/9610018,
  title  = {The PZ method for estimating determinant ratios, with applications},
  author = {C. Thron and K. F. Liu and S. J. Dong},
  journal= {arXiv preprint arXiv:hep-lat/9610018},
  year   = {2009}
}

Comments

4 pages, Latex, 5 ps figures. Talk presented at Lattice '96

R2 v1 2026-07-22T13:21:26.514Z