inclusion sets for eigenvalues of a tensor
| Autor: | Xiaoqiang Lei |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Tensor contraction
Weyl tensor Algebra and Number Theory 010102 general mathematics Mathematical analysis Tensor product of Hilbert spaces 010103 numerical & computational mathematics 01 natural sciences Tensor field symbols.namesake Invariants of tensors symbols Symmetric tensor Tensor 0101 mathematics Tensor density Mathematics |
| Zdroj: | Linear and Multilinear Algebra. 66:942-960 |
| ISSN: | 1563-5139 0308-1087 |
| DOI: | 10.1080/03081087.2017.1331996 |
| Popis: | In this paper, we mainly focus on new inclusion sets for eigenvalues of a tensor. First, we propose new inclusion sets for eigenvalues of a tensor, which are sharper than some existing inclusion sets, and obtain the law of distribution of the number of eigenvalues for a tensor. Second, two new classes of tensors are introduced. Third, some bounds on the spectral radii for nonnegative tensors are given. Fourth, some checkable sufficient conditions for the positive definiteness (positive semidefiniteness) of some classes of even-order real symmetric tensors are obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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