Research of Greg Ammar
My research activities are primarily in numerical linear algebra
and scientific computation, with focus on algorithms for problems
involving structured matrices that find applications in signal processing
and control engineering.
Research description by topic:
Algorithms for solving Toeplitz equations;
Eigenproblems for unitary Hessenberg matrices;
Algorithms for Control-Theoretic Algebraic Matrix Riccati Equations.
Eigenproblems for Hamiltonian (infinitesimally symplectic) matrices;
- Geometric study of the QR algorithm; Matrix Flows;
- Applications of Unitary Hessenberg Eigenproblems in Signal
- Inverse Matrix Eigenvalue Problems;
- Polynomial Zeros;
- Toeplitz Eigenproblems.
Copies of some recent papers can be obtained from my
list of publications.
Santosh Kumar Mohanty,
Efficient Algorithms for Eigenspace Decompositions of Toeplitz Matrices ,
Ph.D. Dissertation, Northern Illinois University, December 1993.
Electronic Transactions on Numerical Analysis
Journal of Mathematical Systems, Estimation, and Control
Last modification $Date: 2001/11/29 19:15:15 $