Some upper bounds on Zt-eigenvalues of tensors

Some upper bounds on Zt-eigenvalues of tensors In this paper, we give upper bounds on Zt-spectral radius of a tensor A (t=1,2), which extend the upper bounds of Brauer to tensors. Moreover, an upper bound on the Z1-spectral radius is proposed via modulus sum of the entries of certain dimension of A, which improves the upper bound given by Li et al. Numerical experiments are given to illustrate the utility of the upper bound. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Computation Elsevier

Some upper bounds on Zt-eigenvalues of tensors

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier Inc.
ISSN
0096-3003
eISSN
1873-5649
D.O.I.
10.1016/j.amc.2018.01.064
Publisher site
See Article on Publisher Site

Abstract

In this paper, we give upper bounds on Zt-spectral radius of a tensor A (t=1,2), which extend the upper bounds of Brauer to tensors. Moreover, an upper bound on the Z1-spectral radius is proposed via modulus sum of the entries of certain dimension of A, which improves the upper bound given by Li et al. Numerical experiments are given to illustrate the utility of the upper bound.

Journal

Applied Mathematics and ComputationElsevier

Published: Jul 15, 2018

References

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