New eigenvalue inclusion sets for tensors
New eigenvalue inclusion sets for tensors
复制标题
张量的新特征值包含集
DOI：
10.1002/nla.1858
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发表时间：
2014-01-01
影响因子：
4.3
通讯作者：
Kong, Xu
中科院分区：
文献类型：
--
作者：
Li, Chaoqian;Li, Yaotang;Kong, Xu
建立了两个新的张量特征值包含集。证明了新的特征值包含集比齐的论文《实超对称张量的特征值》中的特征值包含集更紧。作为应用，得到了非负张量谱半径的上界，并证明了这些上界比杨的论文《非负张量的 Perron-Frobenius 定理的进一步结果》中的更尖锐。给出了偶阶实超对称张量正定性的一些充分条件。版权所有 (c) 2012 John Wiley & Sons, Ltd.
Two new eigenvalue inclusion sets for tensors are established. It is proved that the new eigenvalue inclusion sets are tighter than that in Qi's paper Eigenvalues of a real supersymmetric tensor. As applications, upper bounds for the spectral radius of a nonnegative tensor are obtained, and it is proved that these upper bounds are sharper than that in Yang's paper Further results for Perron-Frobenius theorem for nonnegative tensors. And some sufficient conditions of the positive definiteness for an even-order real supersymmetric tensor are given. Copyright (c) 2012 John Wiley & Sons, Ltd.