Mathematical programming

People with expertise in this area
Research interests

Letizia Pellegrini: Full Professor

Alberto Peretti: Associate Professor

Research interests
Topic	People	Description
MSC 90C05 - Linear programming	Alberto Peretti	Methods and numerical algorithms for the solution of a linear programming problem, that is a mathematical programming problem where the functions are assumed to be linear. The simplex method and its generalizations.
MSC 90C25 - Convex programming	Letizia Pellegrini	Generalizd convexity: convexlike, subconvexlike functions and image convexity. Linear and conic separation in the image space for G-semidifferentiable problems.
MSC 90C29 - Multi-objective and goal programming	Letizia Pellegrini	Image Space Analysis for Vector Optimization and Variational Inequalities. Scalarization methods. Vector saddle points. Set-valued optimization via Image Space Analysis.
MSC 90C30 - Nonlinear programming	Alberto Peretti	Methods and numerical algorithms for the solution of a mathematical programming problem where the functions are specifically assumed to be non linear.
MSC 90C46 - Optimality conditions, duality	Letizia Pellegrini Alberto Peretti	Optimality conditions for constrained and unconstrained extremum problems: sufficient and necessary conditions in the case of differentiable and non-differentiable functions. Image Space Analysis: sufficient and necessary optimality conditions for not convex and / or non-differentiable problems. Regularity conditions and constraint qualifications for scalar and vector optimization problems.