Uniqueness and perturbation bounds for sparse non-negative tensor equations

DOI10.1007/s11464-018-0707-yzbMath1397.15023OpenAlexW2809420156WikidataQ129579270 ScholiaQ129579270MaRDI QIDQ1787148

Dongdong Liu, Wen Li, Seak Weng Vong, Michael Kwok-Po Ng

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0707-y

zbMATH Keywords

perturbationuniquenessstochastic tensortensor equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Differential geometric aspects in vector and tensor analysis (53A45) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)

Cites Work

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• The tensor splitting with application to solve multi-linear systems
• Solving sparse non-negative tensor equations: algorithms and applications
• Solving multi-linear systems with \(\mathcal {M}\)-tensors
• The perturbation bound for the Perron vector of a transition probability tensor
• Multilinear PageRank
• A Multilinear Singular Value Decomposition
• The uniqueness of multilinear PageRank vectors
• On the limiting probability distribution of a transition probability tensor

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