JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 6, Pages 609 - 631
(December 2016) http://dx.doi.org/10.17654/NT038060609 |
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A MODIFICATION OF S-TYPE EIGENVALUE LOCALIZATION SET FOR TENSORS AND ITS APPLICATIONS
Aiquan Jiao
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Abstract: A new S-type eigenvalue localization set for tensors is given by partitioning the index set into a subset Sand its complement. It is shown that the new set is tighter than those in Li et al. [35]. Based on this new set, we give a checkable sufficient condition for the positive (semi-)definiteness of tensors and an upper bound for the spectral radius of nonnegative tensors. |
Keywords and phrases: tensor eigenvalue, localization set, positive definite, spectral radius. |
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