We consider an iterative computation of negative curvature directions, in large-scale unconstrained optimization frameworks, needed for ensuring the convergence toward stationary pointswhich satisfy second-order necessary optimality conditions. We show that to the latter purpose, we can fruitfully...
Nonlinear Optimization
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We introduce a class of positive definite preconditioners for the solution of large symmetric indefinite linear systems or sequences of such systems, in optimization frameworks. The preconditioners are iteratively constructed by collecting information on a reduced eigenspace of the indefinite...
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Prof. Joaquim Judice visited our department of Computer, Control, and Management
Engineering Antonio Ruberti (DIAG) of Sapienza University of Rome in the week 9th-15th
June 2019.
On Monday 10th, he gave a seminar entitled “Linear Complementarity Problems: Appli-
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In this paper, we develop a new algorithmic framework to solve black-box problems with integer variables. The strategy included in the framework makes use of specific search directions (so called primitive directions) and a suitably developed nonmonotone line search, thus guaranteeing a high level...
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