Professor Emeritus and Faculty Professor. Division of Applied Mathematics.

Room 426, Math Sciences Building.

e-mail address: lancaste@ucalgary.ca

In general, my research interests revolve around matrix analysis motivated by problems from the theory of vibrations, stability, systems theory and control, signal processing, and numerical analysis.

The mathematical form of the problems that interest me include

- quadratic eigenvalue problems,
- spectral and factorization theory of more general matrix-valued functions,
- algebraic Riccati equations and iterative methods for their solution,
- eigenvalue problems in indefinite scalar product spaces,
- analytic perturbation theory,
- the numerical range and pseudospectra of matrix-valued functions,
- inverse quadratic eigenvalue problems.

To learn more about me and my history CLICK HERE.

To learn more about my most recent books:

- The second edition of
## "Invariant Subspaces of Matrices with Applications"

(SIAM Classics in Applied Mathematics, 2006) and ## "Indefinite Linear Algebra with Applications"

(Birkhauser, 2005) both with Israel Gohberg and Leiba Rodman, and the second edition of## "Lambda-Matrices and Vibrating Systems"

(Dover, 2002),-
## "Algebraic Riccati Equations"

(OUP, 1995, with Leiba Rodman) and ## "Transform Methods in Applied Mathematics: An Introduction"

(Wiley, 1996, with Kes Salkauskas),

For information about the Department of Mathematics and Statistics of the University of Calgary CLICK HERE.

This web-page was last updated on December 3rd, 2008.