More on hidden Z-matrices and linear complementarity problem

Authors

R. Jana, Jadavpur University
A. Dutta, Jadavpur University
A. K. Das, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Linear and Multilinear Algebra

Abstract

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.

First Page

1151

Last Page

1160

DOI

10.1080/03081087.2019.1623857

Publication Date

1-1-2021

Comments

Open Access, Green

Recommended Citation

Jana, R.; Dutta, A.; and Das, A. K., "More on hidden Z-matrices and linear complementarity problem" (2021). Journal Articles. 2277.
https://digitalcommons.isical.ac.in/journal-articles/2277