"On semimonotone star matrices and linear complementarity problem" by R. Jana, A. K. Das et al.
 

On semimonotone star matrices and linear complementarity problem

Article Type

Research Article

Publication Title

Operators and Matrices

Abstract

In this article, we introduce the class of semimonotone star ( E0s ) matrices. We establish the importance of the class of E0s-matrices in the context of complementarity theory. We show that the principal pivot transform of an E0s-matrix is not necessarily Es0 in general. How-ever, we prove that E˜0s-matrices, a subclass of the Es0-matrices with some additional conditions, is fully semimonotone matrix by showing this class is in P0 . We prove that LCP (q, A) can be processable by Lemke’s algorithm if A ∈ E˜ 0s ∩ P0. We find some conditions for which the solution set of LCP(q, A) is bounded and stable under the E˜ 0s-property. We propose an algorithm based on an interior point method to solve LCP(q, A) given A ∈ E˜ 0s..

First Page

1089

Last Page

1108

DOI

10.7153/oam-2021-15-68

Publication Date

3-1-2021

Comments

Open Access, Bronze, Green

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