8 research outputs found
Parameter Dependence and Controllability of Convex Processes with Delay
International audienc
Cone-constrained eigenvalue problems: theory and algorithms
Complementarity conditions, Generalized eigenvalue problems, Convex cones,
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