Clifford multivector toolbox (for MATLAB). (English) Zbl 1407.68566
Summary: Matlab is a numerical computing environment oriented towards manipulation of matrices and vectors (in the linear algebra sense, that is arrays of numbers). Until now, there was no comprehensive toolbox (software library) for Matlab to compute with Clifford algebras and matrices of multivectors. We present in the paper an account of such a toolbox, which has been developed since 2013, and released publically for the first time in 2015. The paper describes the major design decisions made in implementing the toolbox, gives implementation details, and demonstrates some of its capabilities, up to and including the LU decomposition of a matrix of Clifford multivectors.
MSC:
| 68W30 | Symbolic computation and algebraic computation |
| 11E88 | Quadratic spaces; Clifford algebras |
| 15A66 | Clifford algebras, spinors |
Software:
GABLE; Quaternion; Gaalet; Matlab; Octave; Clifford Multivector Toolbox; CLICAL; CLIFFORD; Gaigen; GluCat; GaalopReferences:
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