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 Processing;
Inverse Matrix Eigenvalue Problems;
Polynomial Zeros;
Toeplitz Eigenproblems.

Copies of some recent papers can be obtained from my list of publications.

Dissertation direction:

Santosh Kumar Mohanty, Efficient Algorithms for Eigenspace Decompositions of Toeplitz Matrices , Ph.D. Dissertation, Northern Illinois University, December 1993.

Editorial work: Electronic Transactions on Numerical Analysis | Journal of Mathematical Systems, Estimation, and Control

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Last modification $Date: 2001/11/29 19:15:15 $