Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor

Guanglu Zhou; Liqun Qi; Soon Yi Wu

doi:10.1007/s11464-012-0268-4

Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor

Guanglu Zhou
, Liqun Qi
, Soon Yi Wu

Research output: Journal article publication › Journal article › Academic research › peer-review

26 Citations (Scopus)

Abstract

Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors.

Original language	English
Pages (from-to)	155-168
Number of pages	14
Journal	Frontiers of Mathematics in China
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/s11464-012-0268-4
Publication status	Published - 14 Jan 2013

Keywords

Eigenvalue
linear convergence
nonnegative tensor
power method

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1007/s11464-012-0268-4

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title = "Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor",

abstract = "Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors.",

keywords = "Eigenvalue, linear convergence, nonnegative tensor, power method",

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year = "2013",

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AU - Zhou, Guanglu

AU - Qi, Liqun

AU - Wu, Soon Yi

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N2 - Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors.

AB - Consider the problem of computing the largest eigenvalue for nonnegative tensors. In this paper, we establish the Q-linear convergence of a power type algorithm for this problem under a weak irreducibility condition. Moreover, we present a convergent algorithm for calculating the largest eigenvalue for any nonnegative tensors.

KW - Eigenvalue

KW - linear convergence

KW - nonnegative tensor

KW - power method

UR - https://www.scopus.com/pages/publications/84872382982

U2 - 10.1007/s11464-012-0268-4

DO - 10.1007/s11464-012-0268-4

M3 - Journal article

SN - 1673-3452

VL - 8

SP - 155

EP - 168

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

IS - 1

ER -

Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor

Abstract

Keywords

ASJC Scopus subject areas

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