English

Primitive tensors and convergence of an iterative process for the eigenvalues of a primitive tensor

Numerical Analysis 2010-11-19 v2

Abstract

An algorithm for finding the eigenvalue of a nonnegative irreducible tensor was recently proposed by Michael Ng, Liqun Qi, and Guanglu Zhou in {\it Finding the largest eigenvalue of a nonnegative tensor}. However, the authors did not prove the proposed algorithm converges. In this paper, primitive tensors are defined and the algorithm is shown to converge for primitive tensors.

Keywords

Cite

@article{arxiv.1004.2423,
  title  = {Primitive tensors and convergence of an iterative process for the eigenvalues of a primitive tensor},
  author = {K. J. Pearson},
  journal= {arXiv preprint arXiv:1004.2423},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author