9 research outputs found
General lagrange-type functions in constrained global optimization Part I: auxiliary functions and optimality conditions
Pulsed laser ablation of binary semiconductors: mechanisms of vaporisation and cluster formation
Automatic differentiation and spectral projected gradient methods for optimal control problems
A nonsmooth algorithm for cone-constrained eigenvalue problems
International audienceWe study several variants of a nonsmooth Newton-type algorithm for solving an eigenvalue problem of the form . Such an eigenvalue problem arises in mechanics and in other areas of applied mathematics. The symbol refers to a closed convex cone in the Euclidean space and is a pair of possibly asymmetric matrices of order . Special attention is paid to the case in which is the nonnegative orthant of . The more general case of a possibly unpointed polyhedral convex cone is also discussed in detail