@Article{CSIAM-AM-2-2,
author = {Peihuan, Bi and Wen, Li and Liu, Dongdong and Xiao, Mingqing},
title = {The Projected Newton Iteration Approach for Computing the Nonnegative Z-Eigenpairs of Nonnegative Tensors},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2021},
volume = {2},
number = {2},
pages = {376--394},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2021.nla.07},
url = {https://global-sci.com/article/82350/the-projected-newton-iteration-approach-for-computing-the-nonnegative-z-eigenpairs-of-nonnegative-tensors}
}