Geodesic
Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms
Filomat, Tome 34 (2020) no. 9, p. 3131

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we establish a sharp Z-eigenvalue inclusion set for even-order real tensors by Z-identity tensor and prove that new Z-eigenvalue inclusion set is sharper than existing results. We propose some sufficient conditions for testing the positive definiteness of multivariate homogeneous forms via new Z-eigenvalue inclusion set. Further, we establish upper bounds on the Z-spectral radius of weakly symmetric nonnegative tensors and estimate the convergence rate of the greedy rank-one algorithms. The given numerical experiments show the validity of our results.
DOI : 10.2298/FIL2009131W
Classification : 15A18, 15A42, 15A69
Keywords: Z-eigenvalue inclusion set, positive definiteness, Z-identity tensor 
Gang Wang; Linxuan Sun; Yiju Wang. Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms. Filomat, Tome 34 (2020) no. 9, p. 3131 . doi: 10.2298/FIL2009131W
@article{10_2298_FIL2009131W,
     author = {Gang Wang and Linxuan Sun and Yiju Wang},
     title = {Sharp {Z-eigenvalue} inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms},
     journal = {Filomat},
     pages = {3131 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009131W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009131W/}
}
TY  - JOUR
AU  - Gang Wang
AU  - Linxuan Sun
AU  - Yiju Wang
TI  - Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms
JO  - Filomat
PY  - 2020
SP  - 3131 
VL  - 34
IS  - 9
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2009131W/
DO  - 10.2298/FIL2009131W
LA  - en
ID  - 10_2298_FIL2009131W
ER  - 
%0 Journal Article
%A Gang Wang
%A Linxuan Sun
%A Yiju Wang
%T Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms
%J Filomat
%D 2020
%P 3131 
%V 34
%N 9
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2009131W/
%R 10.2298/FIL2009131W
%G en
%F 10_2298_FIL2009131W

Cité par Sources :