Abstract
In this paper, we present an algorithm to find the weakly irreducible normal form of tensors. Based on the weakly irreducible normal form of nonnegative tensors, we present a convergent algorithm for computing the spectral radius of any nonnegative tensors. Numerical results are reported to show that the proposed algorithm is efficient and also able to compute the spectral radius of any nonnegative tensors.
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Acknowledgements
The authors are very grateful to the editor and the anonymous referee for their valuable suggestions and constructive comments, which have considerably improved the paper. We also thank Prof. Yimin Wei for his warm help. This work was supported by the Doctoral Scientific Research Foundation of Guizhou Normal University in 2017(Grant number GZNUD[2017]26), the National Natural Science Foundations of China (Grant number 11671105), the Science and Technology Projects of Guizhou Provincial Department of Education (Grant number KY[2015]352).
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Communicated by Jinyun Yuan.
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Liu, Q., Chen, Z. An algorithm for computing the spectral radius of nonnegative tensors. Comp. Appl. Math. 38, 90 (2019). https://doi.org/10.1007/s40314-019-0853-1
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DOI: https://doi.org/10.1007/s40314-019-0853-1