Exclusion sets in the S-type eigenvalue localization sets for tensors
Abstract In this paper, we break the index set N into disjoint subsets S and its complement, and propose two S-type exclusion sets that all the eigenvalues do not belong to them. Furthermore, we establish new S-type eigenvalue inclusion sets, which can reduce computations and obtain more accurate numerical results. At the same time, we give two criteria for identifying nonsingular tensors. Finally, new S-type eigenvalue inclusion sets are shown to be sharper than existing results via two examples.
2018 ◽
Vol 67
(12)
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pp. 2399-2409
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2019 ◽
Vol 43
(2)
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pp. 1685-1707
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2020 ◽
Vol 16
(4)
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pp. 2045-2063
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2014 ◽
Vol 63
(11)
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pp. 2159-2170
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2019 ◽
Vol 169
(1)
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pp. 323-339
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Keyword(s):