An improved generalized Newton method for absolute value equations

In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method. Numerical experiments show the effi...

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Detalles Bibliográficos
Autores principales: Feng, Jingmei, Liu, Sanyang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4940360/
https://www.ncbi.nlm.nih.gov/pubmed/27462490
http://dx.doi.org/10.1186/s40064-016-2720-5
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author Feng, Jingmei
Liu, Sanyang
author_facet Feng, Jingmei
Liu, Sanyang
author_sort Feng, Jingmei
collection PubMed
description In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method. Numerical experiments show the efficiency of the method and the high accuracy of calculation.
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spelling pubmed-49403602016-07-26 An improved generalized Newton method for absolute value equations Feng, Jingmei Liu, Sanyang Springerplus Research In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method. Numerical experiments show the efficiency of the method and the high accuracy of calculation. Springer International Publishing 2016-07-11 /pmc/articles/PMC4940360/ /pubmed/27462490 http://dx.doi.org/10.1186/s40064-016-2720-5 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Feng, Jingmei
Liu, Sanyang
An improved generalized Newton method for absolute value equations
title An improved generalized Newton method for absolute value equations
title_full An improved generalized Newton method for absolute value equations
title_fullStr An improved generalized Newton method for absolute value equations
title_full_unstemmed An improved generalized Newton method for absolute value equations
title_short An improved generalized Newton method for absolute value equations
title_sort improved generalized newton method for absolute value equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4940360/
https://www.ncbi.nlm.nih.gov/pubmed/27462490
http://dx.doi.org/10.1186/s40064-016-2720-5
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