Abstract
Traditionally an inverse eigenvalue problem is about reconstructing a matrix from a given spectral data. In this work we study the set of real matrices A of order n such that the linear complementarity system x ≥ 0 , Ax - λ x ≥ 0 , 〈 x , Ax - λ x 〉 = 0 holds for prescribed pairs ( x 1 , λ 1 ) , … , ( x p , λ p ) . The analysis of this new type of inverse eigenvalue problem differs substantially from the classical one.
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