CLIFFORD performs various computations in Grass mann and Clifford algebras. CLIFFORD performs various computations in Graßmann and Clifford algebras. It can compute with quaternions, octonions, and matrices with entries in C(B) – the Clifford algebra of a vector space V endowed with an arbitrary bilinear form B. Two user-selectable algorithms for the Clifford product are implemented: cmulNUM-based on Chevalley’s recursive formula, and cmuIRS-based on a non-recursive Rota-Stein sausage. Graßmann and Clifford bases can be used. Properties of reversion in undotted and dotted wedge bases are discussed.

References in zbMATH (referenced in 51 articles , 2 standard articles )

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  1. Franchini, Silvia; Gentile, Antonio; Sorbello, Filippo; Vassallo, Giorgio; Vitabile, Salvatore: Embedded coprocessors for native execution of geometric algebra operations (2017)
  2. Helmstetter, Jacques: Conformal groups and Vahlen matrices (2017)
  3. Hitzer, Eckhard: General steerable two-sided Clifford Fourier transform, convolution and mustard convolution (2017)
  4. Hrdina, Jaroslav; Návrat, Aleš: Binocular computer vision based on conformal geometric algebra (2017)
  5. Korepanov, I.G.: Free fermions on a piecewise linear four-manifold. I: Exotic chain complex (2017)
  6. Prodanov, D.; Toth, V.T.: Sparse representations of Clifford and tensor algebras in maxima (2017)
  7. Sangwine, Stephen J.; Hitzer, Eckhard: Clifford multivector toolbox (for MATLAB) (2017)
  8. Ulrych, S.: Conformal numbers (2017)
  9. Ahmad Hosney Awad Eid: Optimized Automatic Code Generation for Geometric Algebra Based Algorithms with Ray Tracing Application (2016) arXiv
  10. Castro, Carlos: Moyal deformations of Clifford gauge theories of gravity (2016)
  11. Catarino, Paula: The modified Pell and the modified $k$-Pell quaternions and octonions (2016)
  12. Soh, Célestin Wafo; Mahomed, Fazal M.: Hypercomplex analysis and integration of systems of ordinary differential equations (2016)
  13. Trayling, Greg: Metric and involution scores of Clifford algebras (2016)
  14. Benger, Werner; Heinzl, René; Hildenbrand, Dietmar; Weinkauf, Tino; Theisel, Holger; Tschumperlé, David: Differential methods for multi-dimensional visual data analysis (2015)
  15. Abłamowicz, Rafał; Fauser, Bertfried: On parallelizing the Clifford algebra product for CLIFFORD (2014)
  16. Abłamowicz, Rafał; Fauser, Bertfried: Using periodicity theorems for computations in higher dimensional Clifford algebras (2014)
  17. Fuchs, Laurent; Théry, Laurent: Implementing geometric algebra products with binary trees (2014)
  18. Hitzer, Eckhard: Two-sided Clifford Fourier transform with two square roots of $-1$ in $Cl(p,q)$ (2014)
  19. Wang, Haimeng; Wang, Wei: On octonionic regular functions and the Szeg\Hoprojection on the octonionic Heisenberg group (2014)
  20. Hitzer, Eckhard; Helmstetter, Jacques; Abłamowicz, Rafał: Square roots of $-1$ in real Clifford algebras (2013)

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