Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization

Basim A. Hassan; Hawraz N. Jabbar; Fadhil Alfarag; Sunusi Bala Abdullahi; Abdulkarim Hassan Ibrahim

doi:10.1063/5.0093629

Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization

Basim A. Hassan^*, Hawraz N. Jabbar, Fadhil Alfarag, Sunusi Bala Abdullahi, Abdulkarim Hassan Ibrahim

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This work demonstrates some of scaled conjugate gradient algorithms based on order-one symmetric modernization. We adopted the outstanding attributes of the symmetric rank-one update (SR1) in providing superiority Hessian approximations that lead the development of a conjugate gradient with descent property and having no resources for the matrices. The obtained numerical results depicted the superiority of the method.

Original language	English
Title of host publication	Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021
Subtitle of host publication	3rd Annual Conference of Al-Muthanna University/College of Science
Editors	Laith Abdul Hassan M. Jawad, Firas Faeq K. Hussain, Ahmed Fadhil Almurshedi, Tammar Hussein Ali, Hana Kadum Al-Mussawi, Safaa Kareem Kadhem, Sadiq Majeed
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735444010
DOIs	https://doi.org/10.1063/5.0093629
State	Published - 25 Oct 2022
Externally published	Yes
Event	1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021 - Al-Samawah, Iraq Duration: 24 Mar 2021 → 25 Mar 2021

Publication series

Name	AIP Conference Proceedings
Volume	2398
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021
Country/Territory	Iraq
City	Al-Samawah
Period	24/03/21 → 25/03/21

Bibliographical note

Publisher Copyright:
© 2022 American Institute of Physics Inc.. All rights reserved.

Keywords

Conjugate gradient
Descent condition
Numerical results
Scaled conjugate gradient

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/5.0093629

Cite this

Hassan, B. A., Jabbar, H. N., Alfarag, F., Abdullahi, S. B., & Ibrahim, A. H. (2022). Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization. In L. A. H. M. Jawad, F. F. K. Hussain, A. F. Almurshedi, T. H. Ali, H. K. Al-Mussawi, S. K. Kadhem, & S. Majeed (Eds.), Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021: 3rd Annual Conference of Al-Muthanna University/College of Science Article 060030 (AIP Conference Proceedings; Vol. 2398). American Institute of Physics Inc.. https://doi.org/10.1063/5.0093629

Hassan, Basim A. ; Jabbar, Hawraz N. ; Alfarag, Fadhil et al. / Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization. Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021: 3rd Annual Conference of Al-Muthanna University/College of Science. editor / Laith Abdul Hassan M. Jawad ; Firas Faeq K. Hussain ; Ahmed Fadhil Almurshedi ; Tammar Hussein Ali ; Hana Kadum Al-Mussawi ; Safaa Kareem Kadhem ; Sadiq Majeed. American Institute of Physics Inc., 2022. (AIP Conference Proceedings).

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title = "Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization",

abstract = "This work demonstrates some of scaled conjugate gradient algorithms based on order-one symmetric modernization. We adopted the outstanding attributes of the symmetric rank-one update (SR1) in providing superiority Hessian approximations that lead the development of a conjugate gradient with descent property and having no resources for the matrices. The obtained numerical results depicted the superiority of the method.",

keywords = "Conjugate gradient, Descent condition, Numerical results, Scaled conjugate gradient",

author = "Hassan, \{Basim A.\} and Jabbar, \{Hawraz N.\} and Fadhil Alfarag and Abdullahi, \{Sunusi Bala\} and Ibrahim, \{Abdulkarim Hassan\}",

note = "Publisher Copyright: {\textcopyright} 2022 American Institute of Physics Inc.. All rights reserved.; 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021 ; Conference date: 24-03-2021 Through 25-03-2021",

year = "2022",

month = oct,

day = "25",

doi = "10.1063/5.0093629",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Jawad, \{Laith Abdul Hassan M.\} and Hussain, \{Firas Faeq K.\} and Almurshedi, \{Ahmed Fadhil\} and Ali, \{Tammar Hussein\} and Al-Mussawi, \{Hana Kadum\} and Kadhem, \{Safaa Kareem\} and Sadiq Majeed",

booktitle = "Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021",

}

Hassan, BA, Jabbar, HN, Alfarag, F, Abdullahi, SB & Ibrahim, AH 2022, Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization. in LAHM Jawad, FFK Hussain, AF Almurshedi, TH Ali, HK Al-Mussawi, SK Kadhem & S Majeed (eds), Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021: 3rd Annual Conference of Al-Muthanna University/College of Science., 060030, AIP Conference Proceedings, vol. 2398, American Institute of Physics Inc., 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021, Al-Samawah, Iraq, 24/03/21. https://doi.org/10.1063/5.0093629

Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization. / Hassan, Basim A.; Jabbar, Hawraz N.; Alfarag, Fadhil et al.
Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021: 3rd Annual Conference of Al-Muthanna University/College of Science. ed. / Laith Abdul Hassan M. Jawad; Firas Faeq K. Hussain; Ahmed Fadhil Almurshedi; Tammar Hussein Ali; Hana Kadum Al-Mussawi; Safaa Kareem Kadhem; Sadiq Majeed. American Institute of Physics Inc., 2022. 060030 (AIP Conference Proceedings; Vol. 2398).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Hassan, Basim A.

AU - Jabbar, Hawraz N.

AU - Alfarag, Fadhil

AU - Abdullahi, Sunusi Bala

AU - Ibrahim, Abdulkarim Hassan

PY - 2022/10/25

Y1 - 2022/10/25

N2 - This work demonstrates some of scaled conjugate gradient algorithms based on order-one symmetric modernization. We adopted the outstanding attributes of the symmetric rank-one update (SR1) in providing superiority Hessian approximations that lead the development of a conjugate gradient with descent property and having no resources for the matrices. The obtained numerical results depicted the superiority of the method.

AB - This work demonstrates some of scaled conjugate gradient algorithms based on order-one symmetric modernization. We adopted the outstanding attributes of the symmetric rank-one update (SR1) in providing superiority Hessian approximations that lead the development of a conjugate gradient with descent property and having no resources for the matrices. The obtained numerical results depicted the superiority of the method.

KW - Conjugate gradient

KW - Descent condition

KW - Numerical results

KW - Scaled conjugate gradient

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DO - 10.1063/5.0093629

M3 - Conference contribution

AN - SCOPUS:85141776947

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BT - Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021

A2 - Jawad, Laith Abdul Hassan M.

A2 - Hussain, Firas Faeq K.

A2 - Almurshedi, Ahmed Fadhil

A2 - Ali, Tammar Hussein

A2 - Al-Mussawi, Hana Kadum

A2 - Kadhem, Safaa Kareem

A2 - Majeed, Sadiq

PB - American Institute of Physics Inc.

T2 - 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021

Y2 - 24 March 2021 through 25 March 2021

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Hassan BA, Jabbar HN, Alfarag F, Abdullahi SB, Ibrahim AH. Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization. In Jawad LAHM, Hussain FFK, Almurshedi AF, Ali TH, Al-Mussawi HK, Kadhem SK, Majeed S, editors, Proceedings of the 1st International Conference on Advanced Research in Pure and Applied Science, ICARPAS 2021: 3rd Annual Conference of Al-Muthanna University/College of Science. American Institute of Physics Inc. 2022. 060030. (AIP Conference Proceedings). doi: 10.1063/5.0093629

Some New Scaled Conjugate Gradient Methods Via Symmetric Rank-One Update for Unconstrained Optimization

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this