University of Pisa

Numerical Analysis and Computational Mathematics

Luca Gemignani

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:

- fast and superfast solution of structured linear systems;
- eigenvalue computation for structured matrices;
- approximate solution of nonlinear equations;
- integration of numeric and symbolic techniques for geometric and algebraic computing.