Seminar series
Date
Thu, 11 Mar 2004
Time
14:00 -
15:00
Location
Rutherford Appleton Laboratory, nr Didcot
Speaker
Dr Francoise Tisseur
We consider matrix groups defined in terms of scalar products. Examples of interest include the groups of
- complex orthogonal,
- real, complex, and conjugate symplectic,
- real perplectic,
- real and complex pseudo-orthogonal,
- pseudo-unitary
matrices. We
- Construct a variety of transformations belonging to these groups that imitate the actions of Givens rotations, Householder reflectors, and Gauss transformations.
- Describe applications for these structured transformations, including to generating random matrices in the groups.
- Show how to exploit group structure when computing the polar decomposition, the matrix sign function and the matrix square root on these matrix groups.
This talk is based on recent joint work with N. Mackey, D. S. Mackey, and N. J. Higham.