New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors
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In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-eigenvalue based sufficient condition for the positive definiteness of fourth order tensors is also presented. Finally, numerical examples are given to verify the efficiency of our results.
2020 ◽
Vol 44
(1)
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pp. 105-129
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2013 ◽
Vol 2013
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pp. 1-7
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2012 ◽
Vol 220-223
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pp. 2658-2661
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