Paper Info
Title
Iterative criteria for identifying strong H-tensors.
Abstract
Strong H-tensors play an important role in the theories and applications of numerical linear algebra. It is necessary to identify whether a given tensor is a strong H-tensor or not. In this paper, we establish some iterative criteria for identifying strong H-tensors. These criteria depend on the elements of the tensors; therefore, they are easy to be verified. The results obtained in this paper extend the corresponding conclusions for strictly generalized diagonally dominant matrices. As an application, some sufficient conditions for the positive definiteness of an even-order real symmetric tensor are presented. Some numerical experiments show the feasibility and efficiency of the results which are obtained in this paper.
Year
DOI
Venue
2019
10.1016/j.cam.2018.11.033
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
15A69,15A18,65F15,65H17
Applied mathematics,Tensor,Mathematical analysis,Matrix (mathematics),Diagonally dominant matrix,Symmetric tensor,Positive definiteness,Numerical linear algebra,Mathematics
Journal
Volume
ISSN
Citations 
352
0377-0427
0
PageRank 
References 
Authors
0.34
10
2
Name
Order
Citations
PageRank
Bao-Hua Huang1125.68
Changfeng Ma210016.25