Matrix exponential via Clifford algebras
Ablamowicz, Rafal
arXiv, 9807038 / Harvested from arXiv
Text on arXiv
We use isomorphism $\varphi$ between matrix algebras and simple orthogonal Clifford algebras $\cl(Q)$ to compute matrix exponential ${e}^{A}$ of a real, complex, and quaternionic matrix A. The isomorphic image $p=\varphi(A)$ in $\cl(Q),$ where the quadratic form $Q$ has a suitable signature $(p,q),$ is exponentiated modulo a minimal polynomial of $p$ using Clifford exponential. Elements of $\cl(Q)$ are treated as symbolic multivariate polynomials in Grassmann monomials. Computations in $\cl(Q)$ are performed with a Maple package `CLIFFORD'. Three examples of matrix exponentiation are given.
Publié le : 1998-06-30
Classification:  Mathematical Physics 
@article{9807038,
     author = {Ablamowicz, Rafal},
     title = {Matrix exponential via Clifford algebras},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807038}
}

Ablamowicz, Rafal. Matrix exponential via Clifford algebras. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807038/