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The uniqueness of multilinear PageRank vectors
Authors:Wen Li  Dongdong Liu  Michael K Ng  Seak‐Weng Vong
Institution:1. School of Mathematical Sciences, South China Normal University, Guangzhou, China;2. Department of Mathematics, University of Macau, Macau, China;3. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Abstract:The uniqueness of multilinear PageRank vectors is discussed, and the new uniqueness condition is given. The new results are better than the one given in the work of Gleich et al. published in SIAM J Matrix Anal Appl. 2015;36;1409‐1465. Numerical examples are given to demonstrate the new theoretical results.
Keywords:multilinear PageRank  multilinear PageRank vector  stochastic tensor
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