TY - JOUR
T1 - The Projected Newton Iteration Approach for Computing the Nonnegative Z-Eigenpairs of Nonnegative Tensors
AU - Bi , Peihuan
AU - Li , Wen
AU - Liu , Dongdong
AU - Xiao , Mingqing
JO - CSIAM Transactions on Applied Mathematics
VL - 2
SP - 376
EP - 394
PY - 2021
DA - 2021/05
SN - 2
DO - http://doi.org/10.4208/csiam-am.2021.nla.07
UR - https://global-sci.org/intro/article_detail/csiam-am/18890.html
KW - Nonnegative tensor, nonnegative Z-eigenpair, local quadratic convergence, multilinear PageRank.
AB - <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>