E-eigenvalue inclusion theorems for tensors
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DOI: 10.2298/fil1912883s
Abstract: Two Z-eigenvalue inclusion theorems for tensors presented by Wang et al. (Discrete Cont. Dyn.-B, 2017, 22(1): 187-198) are first generalized to E-eigenvalue inclusion theorems. And then a tighter E-eigenvalue inclusion theorem for tensors is established.… read more here.
Keywords: inclusion theorems; eigenvalue inclusion; inclusion; theorems tensors ... See more keywords
Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms
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DOI: 10.2298/fil2009131w
Abstract: In this paper, we establish a sharp Z-eigenvalue inclusion set for even-order real tensors by Zidentity tensor and prove that new Z-eigenvalue inclusion set is sharper than existing results. We propose some sufficient conditions for… read more here.
Keywords: testing positive; eigenvalue inclusion; positive definiteness; inclusion set ... See more keywords
Further Study on C-Eigenvalue Inclusion Intervals for Piezoelectric Tensors
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DOI: 10.3390/axioms11060250
Abstract: The C-eigenpair of piezoelectric tensors finds applications in the area of the piezoelectric effect and converse piezoelectric effect. In this paper, we provide some characterizations of C-eigenvectors by exploring the structure of piezoelectric tensors, and… read more here.
Keywords: study eigenvalue; eigenvalue inclusion; inclusion intervals; intervals piezoelectric ... See more keywords