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

^*此作品的通信作者

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研究成果: Article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	English
期刊	Applied Mathematics Letters
DOIs	https://doi.org/10.1016/j.aml.2022.108454
出版狀態	Published - 2月 2023

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@article{e840cb9978e042408f195e6bb568cebf,

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",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

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 - https://www.scopus.com/pages/publications/85139006129

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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