Some properties concerning Perron vectors of weakly irreducible nonnegative tensors, and their application to rigorous enclosure

DOI10.1016/j.laa.2024.02.002OpenAlexW4391617111WikidataQ128254284 ScholiaQ128254284MaRDI QIDQ6118785

Shinya Miyajima

Publication date: 28 February 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2024.02.002

zbMATH Keywords

Perron vectorverified numerical computationweakly irreducible nonnegative tensor\(\mathcal{M}\)-tensor

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Multilinear algebra, tensor calculus (15A69) Algorithms with automatic result verification (65G20) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Unnamed Item
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• The perturbation bound for the spectral radius of a nonnegative tensor
• An improved verification algorithm for nonlinear systems of equations based on Krawczyk operator
• A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map
• Newton-noda iteration for finding the Perron pair of a weakly irreducible nonnegative tensor
• Primitivity, the Convergence of the NQZ Method, and the Largest Eigenvalue for Nonnegative Tensors
• A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Linear Convergence of the LZI Algorithm for Weakly Positive Tensors
• Tensor Analysis

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