Numerical Analysis
and Computational Mathematics
Beatrice
Meini
Research activity:
The common feature of the research activities 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 in both sequential and parallel
model
of computation. 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,
- Toeplitz and structured matrix computations,
- polynomial computations,
- numerical solution of nonlinear matrix equations.
List of publications
Recent talks:
- 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
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