The Projected Newton Iteration Approach for Computing the Nonnegative Z-Eigenpairs of Nonnegative Tensors
Year: 2021
Author: Peihuan Bi, Wen Li, Dongdong Liu, Mingqing Xiao
CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 2 : pp. 376–394
Abstract
In this paper, we propose a new projected Newton iteration for computing the nonnegative Z-eigenpairs of nonnegative tensors. We show that the required iteration has a local quadratic convergence. More specially, the formulation aims to solve the tensor equation arising from the multilinear PageRank problem. Numerical experiments are provided to illustrate the effectiveness and superiority of the proposed approach.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.2021.nla.07
CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 2 : pp. 376–394
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Nonnegative tensor nonnegative Z-eigenpair local quadratic convergence multilinear PageRank.
Author Details
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