Physics – Computational Physics
Scientific paper
2010-12-22
Physics
Computational Physics
13 pages, Download links: http://gamma.ft.uam.es/robledo/Downloads.html and http://www.phys.washington.edu/users/bertsch/com
Scientific paper
Evaluation of pfaffians arises in a number of physics applications, and for some of them a direct method is preferable to using the determinantal formula. We discuss two methods for the numerical evaluation of pfaffians. The first is tridiagonalization based on Householder transformations. The main advantage of this method is its numerical stability that makes unnecessary the implementation of a pivoting strategy. The second method considered is based on Aitken's block diagonalization formula. It yields to a kind of LU (similar to Cholesky's factorization) decomposition (under congruence) of arbitrary skew-symmetric matrices that is well suited both for the numeric and symbolic evaluations of the pfaffian. Fortran subroutines (FORTRAN 77 and 90) implementing both methods are given. We also provide simple implementations in Python and Mathematica for purpose of testing, or for exploratory studies of methods that make use of pfaffians.
Bertsch George F.
González-Ballestero Carlos
Robledo Luis M.
No associations
LandOfFree
Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-582439