Shifted Power Method and Conjugate Gradient Method for Extension Eigenvalues of Tensor

Journal Title: 河南科技大学学报(自然科学版) - Year 2016, Vol 37, Issue 1

Abstract

Tensor eigenvalue problem associated with the Newton iteration method was studied in this paper.Based on the existing power method,the shifted power method and conjugate gradient method were proposed to calculate the extension eigenvalue and the corresponding eigenvector of tensor. Then the convergence of these two algorithms was proved. Finally,numerical results showed that the methods were effective. These two methods via numerical experiments were compared.

Authors and Affiliations

Jiajia WANG, Jinling ZHAO, Er XU

Keywords

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  • EP ID EP460039
  • DOI 10.15926/j.cnki.issn1672-6871.2016.01.017
  • Views 62
  • Downloads 0

How To Cite

Jiajia WANG, Jinling ZHAO, Er XU (2016). Shifted Power Method and Conjugate Gradient Method for Extension Eigenvalues of Tensor. 河南科技大学学报(自然科学版), 37(1), 83-87. https://europub.co.uk/articles/-A-460039