English

A modified Newton method for multilinear PageRank

Numerical Analysis 2017-01-23 v1

Abstract

When studying the multilinear PageRank problem, a system of polynomial equations needs to be solved. In this paper, we develop convergence theory for a modified Newton method in a particular parameter regime. The sequence of vectors produced by Newton-like method is monotonically increasing and converges to the nonnegative solution. Numerical results illustrate the effectiveness of this procedure.

Keywords

Cite

@article{arxiv.1701.05673,
  title  = {A modified Newton method for multilinear PageRank},
  author = {Pei-Chang Guo},
  journal= {arXiv preprint arXiv:1701.05673},
  year   = {2017}
}
R2 v1 2026-06-22T17:54:52.190Z