Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices.
Project description
pfapack: Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
Code and algorithms are taken from arXiv:1102.3440 which is authored by Michael Wimmer.
Install
pip install pfapack
Usage
from pfapack import pfaffian as pf
import numpy.matlib
# first real matrices
A = numpy.matlib.rand(100, 100)
A = A - A.T
pfa1 = pf.pfaffian(A)
pfa2 = pf.pfaffian(A, method="H")
pfa3 = pf.pfaffian_schur(A)
print(pfa1, pfa2, pfa3)
License
MIT License
Contributions
- Bas Nijholt
- Michael Wimmer (author of the algorithms)
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