Reconstructing a matrix from a partial sampling of Pareto eigenvalues

Pedro Gajardo, Alberto Seeger

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Let λ = {λ1,⋯,λp} be a given set of distinct real numbers. This work deals with the problem of constructing a real matrix A of order n such that each element of λ is a Pareto eigenvalue of A, that is to say, for all κ ε {1,⋯, p} the complementarity system x ≥ 0n, Ax - λkx ≥ 0n, 〈x, Ax - λkx〉 = 0 admits a nonzero solution x ε ℝn. © Springer Science+Business Media, LLC 2011.
Original languageEnglish
Pages (from-to)1119-1135
Number of pages17
JournalComputational Optimization and Applications
DOIs
Publication statusPublished - 1 Apr 2012

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