科研之友
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摘要
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.
