Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/77652
Title: A fast algorithm for the spectral radii of weakly reducible nonnegative tensors
Authors: Zhou, G
Wang, G
Qi, L 
Alqahtani, M
Keywords: Positive definiteness
Spectral radius
Symmetric nonnegative tensors
Z-tensors
Issue Date: 2018
Publisher: John Wiley & Sons
Source: Numerical linear algebra with applications, 2018, v. 25, no. 2, e2134 How to cite?
Journal: Numerical linear algebra with applications 
Abstract: In this paper, we propose a fast algorithm for computing the spectral radii of symmetric nonnegative tensors. In particular, by this proposed algorithm, we are able to obtain the spectral radii of weakly reducible symmetric nonnegative tensors without requiring the partition of the tensors. As we know, it is very costly to determine the partition for large-sized weakly reducible tensors. Numerical results are reported to show that the proposed algorithm is efficient and also able to compute the spectral radii of large-sized tensors. As an application, we present an algorithm for testing the positive definiteness of Z-tensors. By this algorithm, it is guaranteed to determine the positive definiteness for any Z-tensor.
URI: http://hdl.handle.net/10397/77652
ISSN: 1070-5325
EISSN: 1099-1506
DOI: 10.1002/nla.2134
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