Verifiable Criteria and Properties for Interval $B_{\pi}^{R^I}$-Tensors

Li Ye; Yisheng Song

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arXiv · 2606.00475

Verifiable Criteria and Properties for Interval $B_{\pi}^{R^I}$-Tensors

Li Ye·Yisheng Song

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Abstract

This paper introduces interval $B_{\pi}^{R^I}$-tensors as a natural extension of $B_{\pi}^{R}$-tensors to the interval setting. We provide two practical verifiable criteria for an interval tensor to be an interval $B_{\pi}^{R^I}$-tensor, one based on endpoint inequalities and another constructing an explicit vector $\pi$. 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.

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BibTeX RIS

Li Ye, Yisheng Song. 2026-05-30. Verifiable Criteria and Properties for Interval $B_{\pi}^{R^I}$-Tensors. https://arxiv.org/abs/2606.00475

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