Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
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Zhou, Guanglu
Qi, Liqun
Wu, Soon-Yi
Date
2013Type
Journal Article
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Zhou, Guanglu and Qi, Liqun and Wu, Soon-Yi. 2013. Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor. Frontiers of Mathematics in China. 8 (1): pp. 155-168.
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Frontiers of Mathematics in China
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Abstract
Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors.
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