English

A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

Numerical Analysis 2022-07-19 v1 Numerical Analysis

Abstract

We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration.

Keywords

Cite

@article{arxiv.2207.07772,
  title  = {A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors},
  author = {Chun-Hua Guo and Wen-Wei Lin and Ching-Sung Liu},
  journal= {arXiv preprint arXiv:2207.07772},
  year   = {2022}
}