A hybridization of the Hestenes-Stiefel and Dai-Yuan Conjugate Gradient Methods

The paper in discusses conjugate gradient methods, which are often used for unconstrained optimization and are the subject of this discussion. In the process of studying and implementing conjugate gradient algorithms, it is standard practice to assume that the descent condition is true. Despite the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:European journal of pure and applied mathematics Jg. 16; H. 2; S. 1059 - 1067
Hauptverfasser: Laylani, Yoksal, Khudhur, Hisham M., Nori, Edrees M., Abbo, Khalil K.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: 01.04.2023
ISSN:1307-5543, 1307-5543
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract The paper in discusses conjugate gradient methods, which are often used for unconstrained optimization and are the subject of this discussion. In the process of studying and implementing conjugate gradient algorithms, it is standard practice to assume that the descent condition is true. Despite the fact that this sort of approach very seldom results in search routes that slope in a downward direction, this assumption is made routinely. As a result of this research, we propose a revised method known as the improved hybrid conjugate gradient technique. This method is a convex combination of the Dai-Yuan and Hestenes-Stiefel methodologies. The descending property and global convergence are both exhibited by the Wolfe line search. The numerical data demonstrates that the strategy that was presented is an efficient one.
AbstractList The paper in discusses conjugate gradient methods, which are often used for unconstrained optimization and are the subject of this discussion. In the process of studying and implementing conjugate gradient algorithms, it is standard practice to assume that the descent condition is true. Despite the fact that this sort of approach very seldom results in search routes that slope in a downward direction, this assumption is made routinely. As a result of this research, we propose a revised method known as the improved hybrid conjugate gradient technique. This method is a convex combination of the Dai-Yuan and Hestenes-Stiefel methodologies. The descending property and global convergence are both exhibited by the Wolfe line search. The numerical data demonstrates that the strategy that was presented is an efficient one.
Author Khudhur, Hisham M.
Laylani, Yoksal
Nori, Edrees M.
Abbo, Khalil K.
Author_xml – sequence: 1
  givenname: Yoksal
  surname: Laylani
  fullname: Laylani, Yoksal
– sequence: 2
  givenname: Hisham M.
  surname: Khudhur
  fullname: Khudhur, Hisham M.
– sequence: 3
  givenname: Edrees M.
  surname: Nori
  fullname: Nori, Edrees M.
– sequence: 4
  givenname: Khalil K.
  surname: Abbo
  fullname: Abbo, Khalil K.
BookMark eNqF0LFOwzAQgGELFYlS-grIL5BwtpM4kViqAi1SUQdgYLKc-Ny6ap0qdpHK00MDA2Jhulv-k-67JAPfeiTkmkHKK-Bw44_1KsXNXu_Sd1Y4nmYyK87IkAmQSZ5nYvBrvyDjEDYAwFkJomBDspzQ9bHunHEfOrrW09bSuEY6xxDRY0ieo0OLW6q9oXfaJW8H7em09ZvDSkeks04bhz7SJ4zr1oQrcm71NuD4Z47I68P9y3SeLJazx-lkkTQCREyszUDWvMFSoM2lgYJjVldViUyCZFDLzFSyFLaRDDlUHLQVWFXSFHmNWSNG5Pb7btO1IXRoVeNi_0HstNsqBqr3UScf1fuo3kedfL7y4k--79xOd8f_wk9u1HFf
CitedBy_id crossref_primary_10_1371_journal_pone_0300547
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.29020/nybg.ejpam.v16i2.4746
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 1307-5543
EndPage 1067
ExternalDocumentID 10_29020_nybg_ejpam_v16i2_4746
GroupedDBID AAYXX
ABDBF
ACUHS
ALMA_UNASSIGNED_HOLDINGS
AMVHM
CITATION
EOJEC
ESX
GIY
J9A
M~E
OBODZ
OK1
P2P
TUS
ID FETCH-LOGICAL-c303t-ff407b2ce83ef57d062e4b998e170710b74d9783fc71e20920af3e997d65be4c3
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000993220600028&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1307-5543
IngestDate Tue Nov 18 21:30:50 EST 2025
Sat Nov 29 04:34:08 EST 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
License https://creativecommons.org/licenses/by-nc-sa/4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c303t-ff407b2ce83ef57d062e4b998e170710b74d9783fc71e20920af3e997d65be4c3
OpenAccessLink https://ejpam.com/index.php/ejpam/article/download/4746/1414
PageCount 9
ParticipantIDs crossref_citationtrail_10_29020_nybg_ejpam_v16i2_4746
crossref_primary_10_29020_nybg_ejpam_v16i2_4746
PublicationCentury 2000
PublicationDate 2023-04-01
PublicationDateYYYYMMDD 2023-04-01
PublicationDate_xml – month: 04
  year: 2023
  text: 2023-04-01
  day: 01
PublicationDecade 2020
PublicationTitle European journal of pure and applied mathematics
PublicationYear 2023
SSID ssj0002180361
Score 2.222041
Snippet The paper in discusses conjugate gradient methods, which are often used for unconstrained optimization and are the subject of this discussion. In the process...
SourceID crossref
SourceType Enrichment Source
Index Database
StartPage 1059
Title A hybridization of the Hestenes-Stiefel and Dai-Yuan Conjugate Gradient Methods
Volume 16
WOSCitedRecordID wos000993220600028&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 1307-5543
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002180361
  issn: 1307-5543
  databaseCode: M~E
  dateStart: 20080101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lj9MwELbKwgEOiKdYXvKBW5Rs4zycHCtYqNTtgsQi7Z4i27Fplzat2qTaXvhx_DLGdpKGVXnsgUtUOfKo6XwZfzOdB0JvhMrBBsbK7Qupo1VMucwU-HAdwkgIV8o0cT2hp6fJ-Xn6qdf70dTCbGa0KJKrq3T5X1UNa6BsXTp7A3W3QmEBPoPS4Qpqh-s_KX7gTLa6DKsusGySAIY6sAl2zf1cTqWStkPAOzZ1LypmCv8uKx1Rcz6sTBJY6YzNbOn1b0P3NY1dNv9AsJrPzttGsC1dP2HbmZ0d5Vwsvq1Zm9UxmlT5pDKgGeox0HNn7LXh6YUtgj_OV1KuOzcGnJv47mgCPsTMGXndyAUJOgkv1tjqBpVAZ6yBk3vWGgsdd5BIOuZWk8PO0a3b4e07FkgKpFj3md3yr568XLK5t_HjKfFCGu7pw33tfGyzFsFfMpIyLSczcjIjJ9NybqHbhEapPhzG33dxPqBQQBKs318_mi1UN6KO9n6lDkfqkJ2zB-h-7aXggUXXQ9STxSN0b7zT7GP0cYB_wRleKAy38XWcYcAGbnCGW5zhBme4xtkT9OX98dnboVtP53AF0J7SVSrsU07gFQ-kiii88kSGHLx36VPNWzkNcx1XVIL6kvRT0mcqkGlK8zjiMhTBU3RQLAr5DGESKCoCX8pE8ZAJP-V6rEES5zKPAhGSQxQ1v0cm6tb1eoLKLPuzSg7RUbtvaZu3_GXH8xvveIHu7rD9Eh2Uq0q-QnfEppyuV68NFn4CCgSaFg
linkProvider ISSN International Centre
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+hybridization+of+the+Hestenes-Stiefel+and+Dai-Yuan+Conjugate+Gradient+Methods&rft.jtitle=European+journal+of+pure+and+applied+mathematics&rft.au=Laylani%2C+Yoksal&rft.au=Khudhur%2C+Hisham+M.&rft.au=Nori%2C+Edrees+M.&rft.au=Abbo%2C+Khalil+K.&rft.date=2023-04-01&rft.issn=1307-5543&rft.eissn=1307-5543&rft.volume=16&rft.issue=2&rft.spage=1059&rft.epage=1067&rft_id=info:doi/10.29020%2Fnybg.ejpam.v16i2.4746&rft.externalDBID=n%2Fa&rft.externalDocID=10_29020_nybg_ejpam_v16i2_4746
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1307-5543&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1307-5543&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1307-5543&client=summon