Numeric and symbolic evaluation of the Pfaffian of general skew-symmetric matrices

DOI10.1016/j.cpc.2011.04.025zbMath1221.65105arXiv1012.5022OpenAlexW1994225993MaRDI QIDQ2275564

C. González-Ballestero, G. F. Bertsch, Luis M. Robledo

Publication date: 9 August 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5022

zbMATH Keywords

numerical examplesPfaffianLU-decompositionpivoting strategyHouseholder transformationsskew symmetric matricestridiagonalizationCholesky's factorization\texttt{FORTRAN 77}\texttt{FORTRAN 90}Aitken's block diagonalization

Mathematics Subject Classification ID

Pfaffian systems (58A17) Direct numerical methods for linear systems and matrix inversion (65F05) Matrix exponential and similar functions of matrices (15A16)

Related Items

The Faddeev-LeVerrier algorithm and the Pfaffian ⋮ Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VIII) \textsc{hfodd} (v2.73y): a new version of the program ⋮ A factorization algorithm to compute Pfaffians ⋮ On the domain of attraction of a Tracy-Widom law with applications to testing multiple largest roots ⋮ Off-shell Bethe states and the six-vertex model

Uses Software

• BLAS
• Pfaffian

Cites Work

• Unnamed Item
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• Pfaffian
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• On the reduction of a symmetric matrix to tridiagonal form
• Unitary Triangularization of a Nonsymmetric Matrix