On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces

Sonali Sharma; V. Vetrivel; Jein-Shan Chen

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arXiv · 2604.02231

On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces

Sonali Sharma·V. Vetrivel·Jein-Shan Chen

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Abstract

This paper investigates the convexity of the solution set of the linear complementarity problems over tensor spaces (TLCPs). We introduce the notion of a $T$-column sufficient tensor and study its properties and relationships with several structured tensors. An equivalent condition for the convexity of the solution set of the $\mathrm{TLCP}$ is established. In addition, sufficient conditions for uniqueness and for feasibility implying solvability are derived.

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Sonali Sharma, V. Vetrivel, Jein-Shan Chen. 2026-04-02. On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces. https://arxiv.org/abs/2604.02231

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