PETER LANCASTER
Professor Emeritus and Faculty Professor. Division of Applied Mathematics.
Room 426, Math Sciences Building.
e-mail address: lancaste@ucalgary.ca
Research interests
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.
Some recent research publications
To see references to some representative research publications from the
last few years CLICK HERE.
Me and my history
To learn more about me and my history
CLICK HERE.
Recent books and notes
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),
as well as Lecture Notes on Control and Stability (1999),
CLICK HERE.
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.