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arXiv · 2109.09549

On Some Properties of $K$- type Block Matrices in the context of Complementarity Problem

A. Dutta·A. K. Das
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Abstract

In this article we introduce $K$-type block matrices which include two new classes of block matrices namely block triangular $K$-matrices and hidden block triangular $K$-matrices. We show that the solution of linear complementarity problem with $K$-type block matrices can be obtained by solving a linear programming problem. We show that block triangular $K$-matrices satisfy least element property. We prove that hidden block triangular $K$-matrices are $Q_0$ and processable by Lemke's algorithm. The purpose of this article is to study properties of $K$-type block matrices in the context of the solution of linear complementarity problem.

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A. Dutta, A. K. Das. 2021-09-20. On Some Properties of $K$- type Block Matrices in the context of Complementarity Problem. https://arxiv.org/abs/2109.09549

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