A low-memory time-efficient implementation of outermorphisms for higher-dimensional geometric algebras

DOI10.1007/s00006-020-1047-zzbMath1434.68703arXiv1909.02408OpenAlexW3006738181MaRDI QIDQ2301518

Ahmad Hosny Eid

Publication date: 24 February 2020

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02408

zbMATH Keywords

geometric algebrasoftware implementationbinary tree representationoutermorphism

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Clifford algebras, spinors (15A66) Software, source code, etc. for problems pertaining to linear algebra (15-04)

Uses Software

• Clifford Multivector Toolbox
• GitHub
• Garamon
• ganja.js

Cites Work

• Applications of Clifford's geometric algebra
• Implementing geometric algebra products with binary trees
• An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature
• A geometric algebra implementation using binary tree
• An unified CGA-based formal expression of spatio-temporal topological relations for Computation and analysis of geographic objects
• Garamon: a geometric algebra library generator
• Clifford multivector toolbox (for MATLAB)

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