More on hidden Z-matrices and linear complementarity problem
Rajkumar Jana, A. Dutta, Ashok Kumar Das · Linear and Multilinear Algebra · 2019
In this article, we study linear complementarity problem with hidden Z-matrix. We extend the results of Fiedler and Pták for the linear system in complementarity problem using game theoretic approach. We establish a result related to singular hidden Z-matrix. We show that for a non-degenerate feasible basis, linear complementarity problem with hidden Z-matrix has unique non-degenerate solution under some assumptions. The purpose of this paper is to study some properties of hidden Z-matrix.