Thu, 21 Nov 2002
14:00 -
15:00
Comlab
Spectral effects with quaternions
Prof Niloufer Mackey
(U.W. Michigan & University of Manchester)
Abstract
Several real Lie and Jordan algebras, along with their associated
automorphism groups, can be elegantly expressed in the quaternion tensor
algebra. The resulting insight into structured matrices leads to a class
of simple Jacobi algorithms for the corresponding $n \times n$ structured
eigenproblems. These algorithms have many desirable properties, including
parallelizability, ease of implementation, and strong stability.