A Modified Broyden Algorithm

A Modified Broyden algorithm is presented to solve nonlinear equations in this paper. The convergence of the new algorithml is proved. The convergent order and effectiveness of improved Broyden method can be verified by numerical experiments. Through comparing with Newton’s method and quasi-newton...

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Main Authors: LI Fu-xiang, HUANG Jia-yue
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2017-12-01
Series:Journal of Harbin University of Science and Technology
Subjects:
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1467
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author LI Fu-xiang
HUANG Jia-yue
author_facet LI Fu-xiang
HUANG Jia-yue
author_sort LI Fu-xiang
collection DOAJ
description A Modified Broyden algorithm is presented to solve nonlinear equations in this paper. The convergence of the new algorithml is proved. The convergent order and effectiveness of improved Broyden method can be verified by numerical experiments. Through comparing with Newton’s method and quasi-newton method,the advantages of the improvement Broyden method are showed
format Article
id doaj-art-c6ee8040c5e94c389f3d8a5abcbb93df
institution Kabale University
issn 1007-2683
language zho
publishDate 2017-12-01
publisher Harbin University of Science and Technology Publications
record_format Article
series Journal of Harbin University of Science and Technology
spelling doaj-art-c6ee8040c5e94c389f3d8a5abcbb93df2025-08-26T06:11:20ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832017-12-01220612713010.15938/j.jhust.2017.06.024A Modified Broyden AlgorithmLI Fu-xiang0HUANG Jia-yue1School of Sciences,Harbin University of Science and Technology,Harbin 150080,ChinaSchool of Sciences,Harbin University of Science and Technology,Harbin 150080,ChinaA Modified Broyden algorithm is presented to solve nonlinear equations in this paper. The convergence of the new algorithml is proved. The convergent order and effectiveness of improved Broyden method can be verified by numerical experiments. Through comparing with Newton’s method and quasi-newton method,the advantages of the improvement Broyden method are showedhttps://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1467nonlinear equationsquasi newton iteration methodimproved quasi newton iteration method
spellingShingle LI Fu-xiang
HUANG Jia-yue
A Modified Broyden Algorithm
Journal of Harbin University of Science and Technology
nonlinear equations
quasi newton iteration method
improved quasi newton iteration method
title A Modified Broyden Algorithm
title_full A Modified Broyden Algorithm
title_fullStr A Modified Broyden Algorithm
title_full_unstemmed A Modified Broyden Algorithm
title_short A Modified Broyden Algorithm
title_sort modified broyden algorithm
topic nonlinear equations
quasi newton iteration method
improved quasi newton iteration method
url https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1467
work_keys_str_mv AT lifuxiang amodifiedbroydenalgorithm
AT huangjiayue amodifiedbroydenalgorithm
AT lifuxiang modifiedbroydenalgorithm
AT huangjiayue modifiedbroydenalgorithm