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• W2885557900 abstract "In this article, we introduce the class of semimonotone star ($E_0^s$) matrices. We establish the importance of the class of $E_0^s$-matrices in the context of complementarity theory. We show that the principal pivot transform of $E_0^s$-matrix is not necessarily $E_0^s$ in general. However, we prove that $tilde{E_0^s}$-matrices, a subclass of the $E_0^s$-matrices with some additional conditions, is in $E_0^f$ by showing this class is in $P_0.$ We prove that LCP$(q, A)$ can be processable by Lemke's algorithm if $Ain tilde{E_0^s}cap P_0.$ We find some conditions for which the solution set of LCP$(q, A)$ is bounded and stable under the $tilde{E^s_0}$-property. We propose an algorithm based on an interior point method to solve LCP$(q, A)$ given $A in tilde{E^{s}_{0}}.$" @default.
• W2885557900 created "2018-08-22" @default.
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• W2885557900 date "2018-08-01" @default.
• W2885557900 modified "2023-10-16" @default.
• W2885557900 title "On Semimonotone Star Matrices and Linear Complementarity Problem" @default.
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• W2885557900 doi "https://doi.org/10.48550/arxiv.1808.00281" @default.
• W2885557900 hasPublicationYear "2018" @default.
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