On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914440609267712 |
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| author | Sharma, Sonali Vetrivel, V. Chen, Jein-Shan |
| author_facet | Sharma, Sonali Vetrivel, V. Chen, Jein-Shan |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_02231 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces Sharma, Sonali Vetrivel, V. Chen, Jein-Shan Optimization and Control 90C20, 90C26, 90C33 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. |
| title | On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces |
| topic | Optimization and Control 90C20, 90C26, 90C33 |
| url | https://arxiv.org/abs/2604.02231 |