2005/03/26 by Viktor T. Toth, Viktor Toth, Toth, Viktor · 1 citation
Computer Science · #Computational Physics and Python Applications #Distributed and Parallel Computing Systems #FOS: Computer and information sciences #Parallel Computing and Optimization Techniques #Symbolic Computation (cs.SC) #cs.SC
paper · pdf · doi:10.48550/arxiv.cs/0503073
26 pages (some formulae fixed, terminology usage corrected, comments added on improved tensor contraction algorithm)
openalex publication_date 2005/03/26 · arxiv created 2005/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
GPL Maxima is an open-source computer algebra system based on DOE-MACSYMA. GPL Maxima included two tensor manipulation packages from DOE-MACSYMA, but these were in various states of disrepair. One of the two packages, CTENSOR, implemented component-based tensor manipulation; the other, ITENSOR, treated tensor symbols as opaque, manipulating them based on their index properties. The present paper describes the state in which these packages were found, the steps that were needed to make the packages fully functional again, and the new functionality that was implemented to make them more versatile. A third package, ATENSOR, was also implemented; fully compatible with the identically named package in the commercial version of MACSYMA, ATENSOR implements abstract tensor algebras.