Verifiable Criteria and Properties for Interval $B_π^{R^I}$-Tensors
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910273807319040 |
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| author | Ye, Li Song, Yisheng |
| author_facet | Ye, Li Song, Yisheng |
| contents | This paper introduces interval $B_π^{R^I}$-tensors as a natural extension of $B_π^{R}$-tensors to the interval setting. We provide two practical verifiable criteria for an interval tensor to be an interval $B_π^{R^I}$-tensor, one based on endpoint inequalities and another constructing an explicit vector $π$. Connections with interval $P$-tensors, positive definite interval tensors, and interval $Z$-tensors are established. Applications in polynomial optimization and interval tensor complementarity problems are briefly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00475 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Verifiable Criteria and Properties for Interval $B_π^{R^I}$-Tensors Ye, Li Song, Yisheng Optimization and Control This paper introduces interval $B_π^{R^I}$-tensors as a natural extension of $B_π^{R}$-tensors to the interval setting. We provide two practical verifiable criteria for an interval tensor to be an interval $B_π^{R^I}$-tensor, one based on endpoint inequalities and another constructing an explicit vector $π$. Connections with interval $P$-tensors, positive definite interval tensors, and interval $Z$-tensors are established. Applications in polynomial optimization and interval tensor complementarity problems are briefly discussed. |
| title | Verifiable Criteria and Properties for Interval $B_π^{R^I}$-Tensors |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2606.00475 |