Dipartimento di Matematica
"Leonida Tonelli"
Numerical Analysis group
Beatrice Meini
Research activity:
The common feature of her research activity is the
development of mathematical tools for the design, analysis and
implementation of algorithms for the efficient solution of
computational problems. Particular interest is devoted to the analysis
of structures, to their exploitation and to the complexity analysis of
problems. A special attention is addressed to numerical issues and to
problems arising from applications. Specific topics are:
- numerical solution of Markov chains and queueing problems
- numerical solution of nonlinear matrix equations
- Toeplitz and structured matrix computations
- polynomial computations
List of publications
Beatrice Meini on
Google Scholar,
Scopus, and
MathSciNet
Recent talks:
- The Seventh International Conference on
Matrix-Analytic Methods in Stochastic Models (MAM7),
June 13-16, 2011 - Columbia University, New York, NY, USA:
"A compressed cyclic reduction for QBDs with low-rank
upper and lower transitions".
- 16th ILAS Conference, Pisa, Italy, June 2010 (Plenary
speaker): "Nonsymmetric algebraic Riccati equations associated with M-matrices: theoretical results and algorithms".
- 11th ILAS Conference, Coimbra, Portugal, July 2004, Special
Lecture
(SIAM/LA Speaker): "Nonlinear
matrix equations and structured linear
algebra".
- Computational Science Day, Coimbra, July 23, 2004, Short course
on numerical solution of Markov chains and queueing problems
- Structured Numerical Linear Algebra Problems: Algorithms and
Applications, Cortona, Italy, September 2004: "Nonlinear matrix
equations and canonical factorizations"
PhD Thesis: Fast
algorithms for the numerical solution of structured Markov chains,
Dottorato
di Ricerca in Matematica, Universita' di Pisa, 1998. <dvi>
<postscript>
Software:
- SMCSolver: A Fortran
90 package, with user a friendly GUI, for solving structured Markov chains
- Markov Chains
- Toeplitz Matrices
Back to Beatrice Meini's
home
page.