title: 
Matrix Exponential via Clifford Algebras 

publication: 

volumeissue:  5  3  
pages:  294  313  
ISSN: 
14029251  
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.
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