A modified HS projection method for solving large scale nonlinear monotone equations

In order to overcome the shortcomings of other algorithms such as their complexity, programming difficulty and the large storage, and so on, and to solve efficiently large scale nonlinear monotone equations, a new search direction was put forward based on the traditional HS algorithm. Meanwhile, the...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	河南理工大学学报. 自然科学版 2020-01, Vol.39 (3), p.162
Hauptverfasser:	Wang, Songhua, Li, Yong, Huang, Bichang
Format:	Artikel
Sprache:	chi
Schlagworte:	Algorithms Mathematical analysis Nonlinear equations Projection Robustness (mathematics)
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page
container_issue	3
container_start_page	162
container_title	河南理工大学学报. 自然科学版
container_volume	39
creator	Wang, Songhua Li, Yong Huang, Bichang
description	In order to overcome the shortcomings of other algorithms such as their complexity, programming difficulty and the large storage, and so on, and to solve efficiently large scale nonlinear monotone equations, a new search direction was put forward based on the traditional HS algorithm. Meanwhile, the HS projection method was modified by the projection technique and the search approach. The new algorithm had the sufficient descent property and trust region features without any line searches. Under some mild assumptions, the global convergence was proved. The numerical calculation results showed that the new algorithm was more excellent and had the better robustness comparing with traditional HS algorithm and Three tern HS algorithm. The new algorithm was more efficient for solving large scale nonlinear monotone equations.
format	Article
fullrecord	<record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2395283044</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2395283044</sourcerecordid><originalsourceid>FETCH-proquest_journals_23952830443</originalsourceid><addsrcrecordid>eNqNjMEOgjAQRHvQRKL8wyaeSZCiwNEYDXe5kwoLlpRdaYvfLyZ-gJnDHOa9WYngcMpkVGR5thGhc_oRH5ZIGSeBqM4wcqs7jS2Ud3hZHrDxmglG9E9uoWMLjs1bUw9G2R7BNcogEJPRhMouPrFnQsBpVl_V7cS6U8Zh-Out2N-u1aWMlvtpRufrgWdLy1QnsjgmuYzTVP5HfQC060EE</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2395283044</pqid></control><display><type>article</type><title>A modified HS projection method for solving large scale nonlinear monotone equations</title><source>DOAJ Directory of Open Access Journals</source><creator>Wang, Songhua ; Li, Yong ; Huang, Bichang</creator><creatorcontrib>Wang, Songhua ; Li, Yong ; Huang, Bichang</creatorcontrib><description>In order to overcome the shortcomings of other algorithms such as their complexity, programming difficulty and the large storage, and so on, and to solve efficiently large scale nonlinear monotone equations, a new search direction was put forward based on the traditional HS algorithm. Meanwhile, the HS projection method was modified by the projection technique and the search approach. The new algorithm had the sufficient descent property and trust region features without any line searches. Under some mild assumptions, the global convergence was proved. The numerical calculation results showed that the new algorithm was more excellent and had the better robustness comparing with traditional HS algorithm and Three tern HS algorithm. The new algorithm was more efficient for solving large scale nonlinear monotone equations.</description><identifier>ISSN: 1673-9787</identifier><language>chi</language><publisher>Jiaozuo: Henan Polytechnic University</publisher><subject>Algorithms ; Mathematical analysis ; Nonlinear equations ; Projection ; Robustness (mathematics)</subject><ispartof>河南理工大学学报. 自然科学版, 2020-01, Vol.39 (3), p.162</ispartof><rights>Copyright Henan Polytechnic University 2020</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784</link.rule.ids></links><search><creatorcontrib>Wang, Songhua</creatorcontrib><creatorcontrib>Li, Yong</creatorcontrib><creatorcontrib>Huang, Bichang</creatorcontrib><title>A modified HS projection method for solving large scale nonlinear monotone equations</title><title>河南理工大学学报. 自然科学版</title><description>In order to overcome the shortcomings of other algorithms such as their complexity, programming difficulty and the large storage, and so on, and to solve efficiently large scale nonlinear monotone equations, a new search direction was put forward based on the traditional HS algorithm. Meanwhile, the HS projection method was modified by the projection technique and the search approach. The new algorithm had the sufficient descent property and trust region features without any line searches. Under some mild assumptions, the global convergence was proved. The numerical calculation results showed that the new algorithm was more excellent and had the better robustness comparing with traditional HS algorithm and Three tern HS algorithm. The new algorithm was more efficient for solving large scale nonlinear monotone equations.</description><subject>Algorithms</subject><subject>Mathematical analysis</subject><subject>Nonlinear equations</subject><subject>Projection</subject><subject>Robustness (mathematics)</subject><issn>1673-9787</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqNjMEOgjAQRHvQRKL8wyaeSZCiwNEYDXe5kwoLlpRdaYvfLyZ-gJnDHOa9WYngcMpkVGR5thGhc_oRH5ZIGSeBqM4wcqs7jS2Ud3hZHrDxmglG9E9uoWMLjs1bUw9G2R7BNcogEJPRhMouPrFnQsBpVl_V7cS6U8Zh-Out2N-u1aWMlvtpRufrgWdLy1QnsjgmuYzTVP5HfQC060EE</recordid><startdate>20200101</startdate><enddate>20200101</enddate><creator>Wang, Songhua</creator><creator>Li, Yong</creator><creator>Huang, Bichang</creator><general>Henan Polytechnic University</general><scope>7SC</scope><scope>7SP</scope><scope>7SR</scope><scope>7TB</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20200101</creationdate><title>A modified HS projection method for solving large scale nonlinear monotone equations</title><author>Wang, Songhua ; Li, Yong ; Huang, Bichang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_23952830443</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>chi</language><creationdate>2020</creationdate><topic>Algorithms</topic><topic>Mathematical analysis</topic><topic>Nonlinear equations</topic><topic>Projection</topic><topic>Robustness (mathematics)</topic><toplevel>online_resources</toplevel><creatorcontrib>Wang, Songhua</creatorcontrib><creatorcontrib>Li, Yong</creatorcontrib><creatorcontrib>Huang, Bichang</creatorcontrib><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>河南理工大学学报. 自然科学版</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Songhua</au><au>Li, Yong</au><au>Huang, Bichang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A modified HS projection method for solving large scale nonlinear monotone equations</atitle><jtitle>河南理工大学学报. 自然科学版</jtitle><date>2020-01-01</date><risdate>2020</risdate><volume>39</volume><issue>3</issue><spage>162</spage><pages>162-</pages><issn>1673-9787</issn><abstract>In order to overcome the shortcomings of other algorithms such as their complexity, programming difficulty and the large storage, and so on, and to solve efficiently large scale nonlinear monotone equations, a new search direction was put forward based on the traditional HS algorithm. Meanwhile, the HS projection method was modified by the projection technique and the search approach. The new algorithm had the sufficient descent property and trust region features without any line searches. Under some mild assumptions, the global convergence was proved. The numerical calculation results showed that the new algorithm was more excellent and had the better robustness comparing with traditional HS algorithm and Three tern HS algorithm. The new algorithm was more efficient for solving large scale nonlinear monotone equations.</abstract><cop>Jiaozuo</cop><pub>Henan Polytechnic University</pub></addata></record>
fulltext	fulltext
identifier	ISSN: 1673-9787
ispartof	河南理工大学学报. 自然科学版, 2020-01, Vol.39 (3), p.162
issn	1673-9787
language	chi
recordid	cdi_proquest_journals_2395283044
source	DOAJ Directory of Open Access Journals
subjects	Algorithms Mathematical analysis Nonlinear equations Projection Robustness (mathematics)
title	A modified HS projection method for solving large scale nonlinear monotone equations
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-14T23%3A52%3A28IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20modified%20HS%20projection%20method%20for%20solving%20large%20scale%20nonlinear%20monotone%20equations&rft.jtitle=%E6%B2%B3%E5%8D%97%E7%90%86%E5%B7%A5%E5%A4%A7%E5%AD%A6%E5%AD%A6%E6%8A%A5.%20%E8%87%AA%E7%84%B6%E7%A7%91%E5%AD%A6%E7%89%88&rft.au=Wang,%20Songhua&rft.date=2020-01-01&rft.volume=39&rft.issue=3&rft.spage=162&rft.pages=162-&rft.issn=1673-9787&rft_id=info:doi/&rft_dat=%3Cproquest%3E2395283044%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2395283044&rft_id=info:pmid/&rfr_iscdi=true