Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor

Guanglu Zhou , Liqun Qi , Soon-Yi Wu

Front. Math. China ›› 2013, Vol. 8 ›› Issue (1) : 155 -168.

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Front. Math. China ›› 2013, Vol. 8 ›› Issue (1) : 155 -168. DOI: 10.1007/s11464-012-0268-4
Research Article
RESEARCH ARTICLE

Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor

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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.

Keywords

Eigenvalue / nonnegative tensor / power method / linear convergence

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Guanglu Zhou, Liqun Qi, Soon-Yi Wu. Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor. Front. Math. China, 2013, 8(1): 155-168 DOI:10.1007/s11464-012-0268-4

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