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.
Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
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.
Eigenvalue / nonnegative tensor / power method / linear convergence
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