Some Criteria for ${\varvec{\mathcal {H}}}$-Tensors

Guangbin Wang; Fuping Tan

doi:10.1007/s42967-019-00059-0

Communications on Applied Mathematics and Computation ›› 2020, Vol. 2 ›› Issue (4) : 641 -651. DOI: 10.1007/s42967-019-00059-0

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Some Criteria for ${\varvec{\mathcal {H}}}$-Tensors

Guangbin Wang ¹
, Fuping Tan ²^,b

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Abstract

The ${\mathcal {H}}$-tensor is a new developed concept in tensor analysis and it is an extension of the ${\mathcal {M}}$-tensor. In this paper, we present some criteria for identifying nonsingular ${\mathcal {H}}$-tensors and give two numerical examples.

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Guangbin Wang, Fuping Tan. Some Criteria for ${\varvec{\mathcal {H}}}$-Tensors. Communications on Applied Mathematics and Computation, 2020, 2(4): 641-651 DOI:10.1007/s42967-019-00059-0