Title: Generalized minimal Gershgorin set for tensors.
Authors: Tourang, Mohsen; Zangiabadi, Mostafa; Li, Chaoqian
Abstract: Generalized minimal Gershgorin set is introduced to locate all generalized tensor eigenvalues. It is proved that this set is tighter than the well-known generalized Gershgorin set. A sequence of approximation sets were also conducted in order to obtain the generalized minimal Gershgorin set and prove that the limit of this sequence is the generalized minimal Gershgorin set. Furthermore, we use numerical examples and ﬁgures to illustrate the benefits of our results.
Subjects: EIGENVALUES
Publication: Journal of Industrial & Management Optimization, 2023, Vol 19, Issue 5, p1
ISSN: 1547-5816
Publication type: Academic Journal
DOI: 10.3934/jimo.2022106

Generalized minimal Gershgorin set for tensors.

Tourang, Mohsen; Zangiabadi, Mostafa; Li, Chaoqian