We work at developing numerical methods for the solution of optimization problems involving continuous (as opposed to integer or discrete) variables. The research includes the convergence analysis of the methods, the design and implementation issues of the algorithms, the effective computer testing, the production of software. Specific research interests include: 

  • Constrained and unconstrained nonlinear systems of equations
  • Nonlinear systems of mixed equalities and inequalities
  • Nonlinear least-squares problems
  • Nonlinear complementarity problems
  • Inverse eigenvalue problems
  • Globalization techniques
  • Interior point methods
  • Direct search methods and nonsmooth optimization