Frontiers of Mathematics in China >
Criteria for strong H-tensors
Received date: 16 Jun 2015
Accepted date: 02 Feb 2016
Published date: 17 May 2016
Copyright
H-tensor is a new developed concept which plays an important role in tensor analysis and computing. In this paper, we explore the properties of H-tensors and establish some new criteria for strong H-tensors. In particular, based on the principal subtensor, we provide a new necessary and sufficient condition of strong H-tensors, and based on a type of generalized diagonal product dominance, we establish some new criteria for identifying strong H-tensors. The results obtained in this paper extend the corresponding conclusions for strong H-matrices and improve the existing results for strong H-tensors.
Yiju WANG , Kaili ZHANG , Hongchun SUN . Criteria for strong H-tensors[J]. Frontiers of Mathematics in China, 2016 , 11(3) : 577 -592 . DOI: 10.1007/s11464-016-0525-z
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