Reconstructing a matrix from a partial sampling of Pareto eigenvalues

Reconstructing a matrix from a partial sampling of Pareto eigenvalues

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Article ID: iaor20122501
Volume: 51
Issue: 3
Start Page Number: 1119
End Page Number: 1135
Publication Date: Apr 2012
Journal: Computational Optimization and Applications
Authors: ,
Keywords: matrices
Abstract:

Let Λ={λ 1,…,λ p } 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 k∈{1,…,p} the complementarity system x 0 n, Ax λ k x 0 n, x,Axλ kx=0equ1 admits a nonzero solution x∈ℝ n .

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