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

R. Jana; A. Dutta; A. K. Das

doi:10.1080/03081087.2019.1623857

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

Optimization and Control 2019-09-24 v3

Authors: 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.

Keywords

hadamard matrices painlevé equations

Cite

@article{arxiv.1807.04536,
  title  = {More On Hidden $Z$-Matrices and Linear Complementarity Problem},
  author = {R. Jana and A. Dutta and A. K. Das},
  journal= {arXiv preprint arXiv:1807.04536},
  year   = {2019}
}

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