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In this paper, we introduce a new class of nonnegative tensors --- strictly nonnegative tensors.
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S. Friedland, S. Gaubert and L. Han. Perron-Frobenius theorem for nonnegative multilinear forms and extensions. To appear in: Linear Algebra and Applications
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L. Zhang and L. Qi. Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. To appear in: Numerical Linear Algebra with Applications
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L. Zhang, L. Qi and Y. Xu. Linear convergence of the LZI algorithm for weakly positive tensors. To appear in: Journal of Computational Mathematics
Cited in the paper.
K.J. Pearson. Essentially positive tensors. International Journal of Algebra, 2010, 4: 421–427
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Y. Yang and Q. Yang. Further results for Perron-Frobenius theorem for nonnegative tensors. SIAM J. Matrix Anal. Appl., 2010, 31: 2517-2530
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K.C. Chang, K. Pearson and T. Zhang. Primitivity, the convergence of the NZQ method, and the largest eigenvalue for nonnegative tensors. SIAM J. Matrix Anal. Appl., 2011, 32: 806–819
2011
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