65 research outputs found
Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices
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.Comment: 13 pages, Download links:
http://gamma.ft.uam.es/robledo/Downloads.html and
http://www.phys.washington.edu/users/bertsch/computer.htm
Clean air for radiolabelling kits - Are the requirements too strict?
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Validation of preparation of MIBI kits with deviations from manufacturer's instructions
Geneeskunde en GesondheidswetenskappeKerngeneeskundePlease help us populate SUNScholar with the post print version of this article. It can be e-mailed to: [email protected]
Can Sestamibi kits be prepared with more than the recommended Tc-99m activity? A validation study
Please help populate SUNScholar with the full text of SU research output. Also - should you need this item urgently, please send us the details and we will try to get hold of the full text as quick possible. E-mail to [email protected]. Thank you.Geneeskunde en GesondheidswetenskappeKerngeneeskund
Can Sestamibi kits be prepared with more than the recommended Tc-99m activity? A validation study
Please help populate SUNScholar with the full text of SU research output. Also - should you need this item urgently, please send us the details and we will try to get hold of the full text as quick possible. E-mail to [email protected]. Thank you.Geneeskunde en GesondheidswetenskappeKerngeneeskund
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