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- W2472354773 abstract "In this article, we derive a new characterization of -tensors, which allows us to establish an interval containing all the H-eigenvalues of real even order symmetry tensors. This interval, called -interval, has a nature analogous as the Gerschgorin interval of H-eigenvalues of real even order symmetric tensors and provides some supplement information on the Gerschgorin interval. We further consider a class of tensors whose off-diagonal entries have restricted dispersion, and prove that its -interval is contained in the Gerschgorin interval. We also obtain a lower bound of the H-eigenvalues determined only by the minimum diagonal element and the minimum off-diagonal element of this class of tensors, which, in its turn, can be used to check the positive definiteness. Finally, we construct a new interval, which is proved that the new interval is better than both Gerschgorin interval and -interval for an arbitrary real even order symmetry tensor." @default.
- W2472354773 created "2016-07-22" @default.
- W2472354773 creator A5050950821 @default.
- W2472354773 date "2016-06-24" @default.
- W2472354773 modified "2023-09-24" @default.
- W2472354773 title "The location of <i>H</i>-eigenvalues of real even order symmetry tensors" @default.
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- W2472354773 doi "https://doi.org/10.1080/03081087.2016.1199655" @default.
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