xPerm: fast index canonicalization for tensor computer algebra

Computer Physics Communications

Volumn 179, Issue 8, 2008, Pages 597-603

  Martín García, José M ^a  

^a INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

Author keywords

Computer algebra; Index canonicalization; Mathematica

Indexed keywords

ALGEBRA; BASIC (PROGRAMMING LANGUAGE); BOOLEAN ALGEBRA; COMPUTER OPERATING SYSTEMS; COMPUTER PROGRAMMING LANGUAGES; COMPUTER TESTING; CORROSION PREVENTION; ENERGY MANAGEMENT; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SOLAR CONCENTRATORS; STANDARDS; SUBROUTINES; TENSORS; TEST FACILITIES; TESTING; WINDOWS OPERATING SYSTEM;

CANONICALIZATION; COMPUTER ALGEBRA; COMPUTER ALGEBRA SYSTEM; DISTRIBUTED PROGRAMS; FAST IMPLEMENTATION; INDEX CANONICALIZATION; IRELAND; MATHEMATICA; OPERATING SYSTEMS; PORTUGAL; PROGRAMMING LANGUAGES; RUNNING TIME; SOLUTION METHODS; TEST DATA; WINDOWS XP;

COMPUTER SOFTWARE;

EID: 52049122829     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2008.05.009     Document Type: Article

References (19)

1. MacCallum M.A.H. Int. J. Mod. Phys. A 17 (2002) 2707-2710
2. Manssur L.R.U., Portugal R., and Svaiter B.F. Int. J. Mod. Phys. C 13 (2002) 859-879
3. J.M. Martín-García, xAct, Efficient tensor computer algebra, http://metric.iem.csic.es/Martin-Garcia/xAct/, 2002-2008
4. Portugal R. J. Phys. A: Math. Gen. 32 (1999) 7779-7789
5. Rodionov A.Ya., and Taranov A.Yu. Proc. EUROCAL'87. Lecture Notes in Comput. Sci. vol. 378 (1989), Springer 192
6. Butler G. On computing double coset representatives in permutation groups. In: Atkinson M.D. (Ed). Computational Group Theory (1984), Academic Press 283
7. Butler G. Fundamental Algorithms for Permutation Groups (1991), Springer-Verlag, Berlin
8. Manssur L.R.U., and Portugal R. Canon. Comp. Phys. Commun. 157 (2004) 173-180. http://www.lncc.br/~portugal/Canon.html
9. MAGMA Computational Algebra System, http://magma.maths.usyd.edu.au/magma/
10. GAP-Groups, Algorithms, Programming, http://www-gap.mcs.st-and.ac.uk/
11. Parker L., and Christensen S.M. MathTensor: A System for Doing Tensor Analysis by Computer (1994), Addison-Wesley, Reading, MA
12. Balfagón A., Castellví P., and Jaén X. Tools of tensor calculus. http://baldufa.upc.es/xjaen/ttc/
13. Martín-García J.M., Portugal R., and Manssur L.R.U. Invar. Comp. Phys. Commun. 177 (2007) 640-648
14. Martín-García J.M., Yllanes D., and Portugal R. Invar2. arXiv: 0802.1274 [cs.SC]
15. Martín-García J.M., Yllanes D., and Portugal R. Invar2. Comp. Phys. Commun. (2008)
16. Gundlach C., and Martín-García J.M. Phys. Rev. D 74 (2006) 024016
17. García-Parrado A. Class. Quantum Grav. 24 (2008) 015006
18. Blanchet L., Faye G., Iyer B.R., and Sinha S. arXiv: 0802.1249 [gr-qc]
19. Peeters K. Cadabra. Comp. Phys. Commun. 176 (2007) 550-558. hep-th/0701238