Programmable criteria for strong $mathcal {H}$-tensors |
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| Authors: | Yaotang Li Qilong Liu Liqun Qi |
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| Affiliation: | 1.School of Mathematics and Statistics,Yunnan University,Kunming,People’s Republic of China;2.Department of Applied Mathematics,The Hong Kong Polytechnic University,Hung Hom,Hong Kong |
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| Abstract: | Strong (mathcal {H})-tensors play an important role in identifying positive semidefiniteness of even-order real symmetric tensors. We provide several simple practical criteria for identifying strong (mathcal {H})-tensors. These criteria only depend on the elements of the tensors; therefore, they are easy to be verified. Meanwhile, a sufficient and necessary condition of strong (mathcal {H})-tensors is obtained. We also propose an algorithm for identifying the strong (mathcal {H})-tensors based on these criterions. Some numerical results show the feasibility and effectiveness of the algorithm. |
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