Shifted power method for computing tensor H-eigenpairs

Yinbing Lu; Jianyu Pan

doi:10.1002/nla.2031

Shifted power method for computing tensor H-eigenpairs

Yinbing Lu
, Jianyu Pan^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we propose a shifted symmetric higher-order power method for computing the H-eigenpairs of a real symmetric even-order tensor. The local convergence of the method is proved. In addition, by utilizing the fixed-point analysis, we can characterize exactly which H-eigenpairs can be found and which cannot be found by the method. Numerical examples are presented to illustrate the performance of the method.

Original language	English
Pages (from-to)	410-426
Number of pages	17
Journal	Numerical Linear Algebra with Applications
Volume	23
Issue number	3
DOIs	https://doi.org/10.1002/nla.2031
State	Published - 1 May 2016

Keywords

H-eigenpair
Shifted symmetric higher-order power method
Tensor

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10.1002/nla.2031

Cite this

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title = "Shifted power method for computing tensor H-eigenpairs",

abstract = "In this paper, we propose a shifted symmetric higher-order power method for computing the H-eigenpairs of a real symmetric even-order tensor. The local convergence of the method is proved. In addition, by utilizing the fixed-point analysis, we can characterize exactly which H-eigenpairs can be found and which cannot be found by the method. Numerical examples are presented to illustrate the performance of the method.",

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AU - Pan, Jianyu

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AB - In this paper, we propose a shifted symmetric higher-order power method for computing the H-eigenpairs of a real symmetric even-order tensor. The local convergence of the method is proved. In addition, by utilizing the fixed-point analysis, we can characterize exactly which H-eigenpairs can be found and which cannot be found by the method. Numerical examples are presented to illustrate the performance of the method.

KW - H-eigenpair

KW - Shifted symmetric higher-order power method

KW - Tensor

UR - https://www.scopus.com/pages/publications/84954289762

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DO - 10.1002/nla.2031

M3 - 文章

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JO - Numerical Linear Algebra with Applications

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ER -

Shifted power method for computing tensor H-eigenpairs

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Keywords

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