Abstract

A Pareto eigenvalue of a matrix A of order n is a scalar λ∈R for which the complementarity problem 0⪯x⊥(Ax−λx)⪰0 admits a nonzero solution x∈Rn. Pareto eigenvalues are also known as complementarity eigenvalues. They have found applications in graph theory, cone-constrained dynamical systems, and mathematical modeling in general. In this paper we continue our study on theoretical properties of Pareto spectra. Special attention is paid to classification of Pareto eigenvalues and cardinality issues.

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