An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

  • Chunyan Wang
  • Haibin Chen
  • Yiju Wang
  • Hong Yan

Related Research Unit(s)

Detail(s)

Original languageEnglish
Article number108601
Journal / PublicationApplied Mathematics Letters
Volume141
Online published3 Feb 2023
Publication statusPublished - Jul 2023

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85147607882&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(0f8e8ee4-904e-4a5c-89fa-c00116a58151).html

Abstract

Extremal M-eigenvalues of fourth-order partially symmetric tensors play an important role in the nonlinear elastic material analysis and the entanglement problem in quantum physics. In this paper, we propose an alternating shifted inverse power method for computing the extremal M-eigenvalues of fourth-order partially symmetric tensors. The proposed algorithm is simple to operate and easy to understand for convergence analysis. Numerical experiments show the effectiveness of the proposed method. © 2023 Elsevier Ltd

Research Area(s)

  • Fourth-order partially symmetric tensor, Inverse power method, M-eigenvalues

Fingerprint

Publication fingerprints text

100
Fourth Order Engineering
100
Eigenvalue Engineering
100
Extremal Engineering
100
Symmetric Tensor Engineering
100
Fourth-Order Mathematics
100
Tensor Mathematics
100
Inverse Power Metho... Mathematics
100
Extremal Eigenvalue... Keyphrases
100
Fourth-order Partia... Keyphrases
100
Shifted-inverse Pow... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
An alternating shifted inverse power method for the extremal eigenvalues of fourth-order partially symmetric tensors. / Wang, Chunyan; Chen, Haibin; Wang, Yiju et al.
In: Applied Mathematics Letters, Vol. 141, 108601, 07.2023.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review