Inverse eigenvalue problems for linear complementarity systems

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 systemx≥0,Ax-λx≥0,〈x,Ax-λx〉=0holds for prescribed pairs (x1,λ1),…,(xp,λp)(x1,λ1),…,(xp,λp). The analysis of this new type of inverse eigenvalue problem differs substantially from the classical one.