Volume 5, Issue 3, August 1998, Pages 294 - 313
Matrix Exponential via Clifford Algebras
Available Online 1 August 1998.
- https://doi.org/10.2991/jnmp.19188.8.131.52How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - Rafal ABLAMOWICZ PY - 1998 DA - 1998/08 TI - Matrix Exponential via Clifford Algebras JO - Journal of Nonlinear Mathematical Physics SP - 294 EP - 313 VL - 5 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.19184.108.40.206 DO - https://doi.org/10.2991/jnmp.19220.127.116.11 ID - ABLAMOWICZ1998 ER -