Linear convergence of the NQZ algorithm for finding the H-spectral radius of nonnegative tensors.

Lv, Hongbin; Chen, Meixiang · PLoS One · 2026

basic_science · Level V

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Abstract

The R-linear convergence of the NQZ algorithm for computing the H-spectral radius of a class of weakly irreducible nonnegative tensors is established by utilizing the directed graphs of tensors. Meanwhile, an upper bound for the root convergence factor R is derived and a general condition ensuring the linear convergence of the NQZ algorithm is provided.

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