The H-tensor is a new developed concept in tensor analysis and it is an extension of the M -tensor. In this paper, we present some criteria for identifying nonsingular H-tensors and give two numerical examples.
Guangbin Wang, Fuping Tan
. Some Criteria for H-Tensors[J]. Communications on Applied Mathematics and Computation, 2020
, 2(4)
: 641
-651
.
DOI: 10.1007/s42967-019-00059-0
1. Cui, J., Peng, G., Lu, Q., Huang, Z.:New iterative criteria for strong H-tensors and an application. J. Inequal. Appl. 49, 1-16 (2017). https://doi.org/10.1186/s13660-017-1323-1
2. Ding, W., Qi, L., Wei, Y.:M-tensors and nonsingular M-tensors. Linear Algebra Appl. 439, 3264-3278 (2013)
3. Kannan, M.R., Shaked-Monderer, N., Berman, A.:Some properties of strong H-tensors and general H -tensors. Linear Algebra Appl. 476, 42-55 (2015)
4. Kolda, T.G., Bader, B.W.:Tensor decompositions and applications. SIAM Rev. 51, 455-500 (2009)
5. Li, C., Wang, F., Zhao, J., Li, Y.:Criterions for the positive defniteness of real supersymmetric tensors. J. Comput. Appl. Math. 255, 1-14 (2014)
6. Li, Y., Liu, Q., Qi, L.:Programmable criteria for strong H-tensors. Numer. Algorithms 74, 199-221 (2017)
7. Liu, Q., Li, C., Li, Y.:On the iterative criterion for strong H-tensors. Comput. Appl. Math. 36, 1623-1635 (2017). https://doi.org/10.1007/s40314-016-0311-2
8. Wang, X., Wei, Y.:H-tensors and nonsingular H-tensors. Front. Math. China 11(3), 557-575 (2016)
9. Wang, Y., Zhang, K., Sun, H.:Criteria for strong H-tensors. Front. Math. China 11(3), 577-592 (2016)
10. Wang, F., Sun, D., Zhao, J., Li, C.:New practical criteria for H-tensors and its application. Linear Multilinear Algebra 65(2), 269-283 (2017). https://doi.org/10.1080/03081087.2016.1183558
11. Zhang, L., Qi, L., Zhou, G.:M-tensors and some applications. SIAM J. Matrix Anal. Appl. 35, 437-452 (2014)
12. Zhao, R., Gao, L., Liu, Q., Li, Y.:Criterions for identifying H-tensors. Front. Math. China 11(3), 661-678 (2016)
