Z-Eigenvalue inclusion theorems for tensors
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Open access
Authors
Wang, G.
Zhou, Guanglu
Caccetta, L.
Date
2017Type
Journal Article
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Wang, G. and Zhou, G. and Caccetta, L. 2017. Z-Eigenvalue inclusion theorems for tensors. Discrete and Continuous Dynamical Systems B. 22 (1): pp. 187-198.
Source Title
Discrete and Continuous Dynamical Systems B
ISSN
School
Department of Mathematics and Statistics
Collection
Abstract
In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues. As an application, we obtain upper bounds for the largest Z-eigenvalue of a weakly symmetric nonnegative tensor, which are sharper than existing upper bounds.
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