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arXiv · 1807.04536

More On Hidden $Z$-Matrices and Linear Complementarity Problem

R. Jana·A. Dutta·A. K. Das
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Abstract

In this article we study linear complementarity problem with hidden $Z$-matrix. We extend the results of Fiedler and Pt{\'a}k 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.

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R. Jana, A. Dutta, A. K. Das. 2018-07-12. More On Hidden $Z$-Matrices and Linear Complementarity Problem. https://doi.org/10.1080/03081087.2019.1623857

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