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title:
 
Matrix Exponential via Clifford Algebras
publication:
 
JNMP
volume-issue:   5 - 3
pages:   294 - 313
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.1998.5.3.5 (how to use a DOI)
author(s):
 
Rafal ABLAMOWICZ
publication date:
 
August 1998
abstract:
 
We use isomorphism between matrix algebras and simple orthogonal Clifford algebras C (Q) to compute matrix exponential eA of a real, complex, and quaternionic matrix A. The isomorphic image p = (A) in C (Q), where the quadratic form Q has a suitable signature (p, q), is exponentiated modulo a minimal polynomial of p using Clifford exponential. Elements of C (Q) are treated as symbolic multivariate polynomials in Grassmann monomials. Computations in C (Q) are performed with a Maple package `CLIFFORD'. Three examples of matrix exponentiation are given.
copyright:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
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