【摘 要】
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In this paper, some new Brauer-type eigenvalue inclusion theorems are established for general tensors. We show that new eigenvalue inclusion sets are sharpe
【机 构】
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QufuNormalUniversity
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
In this paper, some new Brauer-type eigenvalue inclusion theorems are established for general tensors. We show that new eigenvalue inclusion sets are sharper than classical results. As applications, we obtain bounds for the largest eigenvalue of a nonnegative tensor, which achieve tighter bounds than existing bounds. Furthermore, based on these eigenvalue inclusion theorems, we present several sufficient conditions to test positive definiteness and positive semi-definiteness of tensors.
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