Criteria for strong H-tensors

doi:10.1007/s11464-016-0525-z

Front. Math. China

2016, Vol. 11

Issue (3) : 577-592 https://doi.org/10.1007/s11464-016-0525-z

RESEARCH ARTICLE

Criteria for strong H-tensors

Yiju WANG^1,^*(

),Kaili ZHANG¹,Hongchun SUN²

1. School of Management Science, Qufu Normal University, Rizhao 276800, China
2. School of Science, Linyi University, Linyi 276000, China

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Abstract

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.

Keywords Strong H-tensor generalized diagonal dominance multilinear algebra weak irreducibility

Corresponding Author(s): Yiju WANG

Issue Date: 17 May 2016

Cite this article:

Yiju WANG,Kaili ZHANG,Hongchun SUN. Criteria for strong H-tensors[J]. Front. Math. China, 2016, 11(3): 577-592.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0525-z
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I3/577

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