English

A factorization algorithm to compute Pfaffians

High Energy Physics - Lattice 2011-09-07 v2 Statistical Mechanics Numerical Analysis

Abstract

We describe an explicit algorithm to factorize an even antisymmetric N^2 matrix into triangular and trivial factors. This allows for a straight forward computation of Pfaffians (including their signs) at the cost of N^3/3 flops.

Cite

@article{arxiv.1102.3576,
  title  = {A factorization algorithm to compute Pfaffians},
  author = {Jürgen Rubow and Ulli Wolff},
  journal= {arXiv preprint arXiv:1102.3576},
  year   = {2011}
}

Comments

6 pages, 1 figure, V2: Minor changes in the text and refs. added, to appear in CPC

R2 v1 2026-06-21T17:27:52.494Z