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Clifford Multivector Toolbox (for MATLAB)

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Abstract

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.

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Authors and Affiliations

  1. School of Computer Science and Electronic Engineering, University of Essex, Wivenhoe Park, Colchester, CO4 3SQ, UK

    Stephen J. Sangwine

  2. Osawa 3-10-4, House M472, Mitaka-shi, Tokyo, 181-0015, Japan

    Eckhard Hitzer

Authors
  1. Stephen J. Sangwine
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  2. Eckhard Hitzer
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Correspondence to Stephen J. Sangwine.

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Sangwine, S.J., Hitzer, E. Clifford Multivector Toolbox (for MATLAB). Adv. Appl. Clifford Algebras 27, 539–558 (2017). https://doi.org/10.1007/s00006-016-0666-x

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