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January 26, 2026PLoS ONE2 citationsOpen Access

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

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HLHongbin LvMCMelissa Chen

Key Points

  • To establish the R-linear convergence of the NQZ algorithm for computing the H-spectral radius of weakly irreducible nonnegative tensors.
  • Utilized directed graphs of tensors to analyze convergence.
  • Derived an upper bound for the root convergence factor R.
  • Provided general conditions for ensuring linear convergence.
  • Confirmed linear convergence of the NQZ algorithm for specific tensor classes.
  • Established a clear upper bound for R, enhancing understanding of convergence behavior.

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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Cite This Study

Lv et al. (2026) studied this question.

synapsesocial.com/papers/697703d3722626c4468e8e41https://doi.org/10.1371/journal.pone.0338496
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