Geodesic
New Classes of Positive Semi-Definite Hankel Tensors
Minimax theory and its applications, Tome 2 (2017) no. 2
Cet article a éte moissonné depuis la source Minimax Theory and its Applications website

Voir la notice de l'article

AHankel tensor is called a strong Hankel tensor if the Hankel matrix generated by its generating vector is positive semi-definite. It is known that an even order strong Hankel tensor is a sum of-squares tensor, and thus a positive semi-definite tensor. The SOS decomposition of strong Hankel tensors has been well-studied by Ding, Qi and Wei [11]. On the other hand, very little is known for positive semi-definite Hankel tensors which are not strong Hankel tensors. In this paper, we study some classes of positive semi-definite Hankel tensors which are not strong Hankel tensors. These include truncated Hankel tensors and quasi-truncated Hankel tensors. Then we show that a strong Hankel tensor generated by an absoluate integrable function is always completely decomposable, and give a class of SOS Hankel tensors which are not completely decomposable.
Mots-clés : Hankel tensors, generating vectors, positive semi-definiteness, strong Hankel ten sors 
@article{MTA_2017_2_2_a1,
     author = {Qun Wang,Guoyin Li and Liqun Qi and Yi Xu},
     title = {New {Classes} of {Positive} {Semi-Definite} {Hankel} {Tensors}},
     journal = {Minimax theory and its applications},
     year = {2017},
     volume = {2},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2017_2_2_a1/}
}
TY  - JOUR
AU  - Qun Wang,Guoyin Li
AU  - Liqun Qi
AU  - Yi Xu
TI  - New Classes of Positive Semi-Definite Hankel Tensors
JO  - Minimax theory and its applications
PY  - 2017
VL  - 2
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MTA_2017_2_2_a1/
ID  - MTA_2017_2_2_a1
ER  - 
%0 Journal Article
%A Qun Wang,Guoyin Li
%A Liqun Qi
%A Yi Xu
%T New Classes of Positive Semi-Definite Hankel Tensors
%J Minimax theory and its applications
%D 2017
%V 2
%N 2
%U http://geodesic.mathdoc.fr/item/MTA_2017_2_2_a1/
%F MTA_2017_2_2_a1
Qun Wang,Guoyin Li; Liqun Qi; Yi Xu. New Classes of Positive Semi-Definite Hankel Tensors. Minimax theory and its applications, Tome 2 (2017) no. 2. http://geodesic.mathdoc.fr/item/MTA_2017_2_2_a1/