A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

Chun Hua Guo; Wen Wei Lin; Ching Sung Liu

doi:10.1016/j.aml.2022.108454

A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

Chun Hua Guo^*, Wen Wei Lin, Ching Sung Liu

^*Corresponding author for this work

Department of Applied Mathematics

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

1 Scopus citations

Abstract

We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration.

Original language	English
Journal	Applied Mathematics Letters
DOIs	https://doi.org/10.1016/j.aml.2022.108454
State	Published - Feb 2023

Keywords

Modified Newton iteration
Nonnegative Z-eigenpair
Nonnegative tensor
Quadratic convergence

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10.1016/j.aml.2022.108454

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title = "A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors",

abstract = "We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration.",

keywords = "Modified Newton iteration, Nonnegative Z-eigenpair, Nonnegative tensor, Quadratic convergence",

author = "Guo, {Chun Hua} and Lin, {Wen Wei} and Liu, {Ching Sung}",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2023",

month = feb,

doi = "10.1016/j.aml.2022.108454",

language = "English",

journal = "Applied Mathematics Letters",

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T1 - A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

AU - Guo, Chun Hua

AU - Lin, Wen Wei

AU - Liu, Ching Sung

PY - 2023/2

Y1 - 2023/2

N2 - We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration.

AB - We propose a new modification of Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. The method has local quadratic convergence to a nonnegative eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration.

KW - Modified Newton iteration

KW - Nonnegative Z-eigenpair

KW - Nonnegative tensor

KW - Quadratic convergence

UR - http://www.scopus.com/inward/record.url?scp=85139006129&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2022.108454

DO - 10.1016/j.aml.2022.108454

M3 - Article

AN - SCOPUS:85139006129

SN - 0893-9659

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

A new modified Newton iteration for computing nonnegative Z-eigenpairs of nonnegative tensors

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Keywords

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