Academic Journal

Efficient FR-CD-Like Algorithm for Unconstrained Optimization.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Efficient FR-CD-Like Algorithm for Unconstrained Optimization.
Συγγραφείς: Deepho, Jitsupa, Abubakar, Auwal Bala, Malik, Maulana, Ibrahim, Abdulkarim Hassan, Kiri, Aliyu Ibrahim
Πηγή: Iranian Journal of Mathematical Sciences & Informatics; 2026, Vol. 21 Issue 1, p67-84, 18p
Θεματικοί όροι: Conjugate gradient methods, Quasi-Newton methods, Mathematical programming, Benchmark testing (Engineering)
Περίληψη: A hybrid conjugate gradient (CG) method is proposed for solving unconstrained optimization problems. The direction of the method is a combination of a three-term conjugate descent (CD) and Fletcher-Reeves (FR) CG directions. Also, it is close to the direction of the memoryless Broyden-Fletcher-Goldfarb-Shanno (BFGS) method. In addition, under the Wolfe-type line search, the global convergence of the method is established. Numerical experiments are conducted on some benchmark test problems and the results are reported to show the efficiency of the propose method compared with some existing methods. [ABSTRACT FROM AUTHOR]
Copyright of Iranian Journal of Mathematical Sciences & Informatics is the property of Iranian Journal of Mathematical Sciencs & Informatics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 194559795
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PubTypeId: academicJournal
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  Data: Efficient FR-CD-Like Algorithm for Unconstrained Optimization.
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  Data: <searchLink fieldCode="AR" term="%22Deepho%2C+Jitsupa%22">Deepho, Jitsupa</searchLink><br /><searchLink fieldCode="AR" term="%22Abubakar%2C+Auwal+Bala%22">Abubakar, Auwal Bala</searchLink><br /><searchLink fieldCode="AR" term="%22Malik%2C+Maulana%22">Malik, Maulana</searchLink><br /><searchLink fieldCode="AR" term="%22Ibrahim%2C+Abdulkarim+Hassan%22">Ibrahim, Abdulkarim Hassan</searchLink><br /><searchLink fieldCode="AR" term="%22Kiri%2C+Aliyu+Ibrahim%22">Kiri, Aliyu Ibrahim</searchLink>
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  Data: Iranian Journal of Mathematical Sciences & Informatics; 2026, Vol. 21 Issue 1, p67-84, 18p
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  Data: <searchLink fieldCode="DE" term="%22Conjugate+gradient+methods%22">Conjugate gradient methods</searchLink><br /><searchLink fieldCode="DE" term="%22Quasi-Newton+methods%22">Quasi-Newton methods</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+programming%22">Mathematical programming</searchLink><br /><searchLink fieldCode="DE" term="%22Benchmark+testing+%28Engineering%29%22">Benchmark testing (Engineering)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A hybrid conjugate gradient (CG) method is proposed for solving unconstrained optimization problems. The direction of the method is a combination of a three-term conjugate descent (CD) and Fletcher-Reeves (FR) CG directions. Also, it is close to the direction of the memoryless Broyden-Fletcher-Goldfarb-Shanno (BFGS) method. In addition, under the Wolfe-type line search, the global convergence of the method is established. Numerical experiments are conducted on some benchmark test problems and the results are reported to show the efficiency of the propose method compared with some existing methods. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Iranian Journal of Mathematical Sciences & Informatics is the property of Iranian Journal of Mathematical Sciencs & Informatics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.61882/ijmsi.21.1.67
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      – Code: eng
        Text: English
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        PageCount: 18
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        Type: general
      – SubjectFull: Quasi-Newton methods
        Type: general
      – SubjectFull: Mathematical programming
        Type: general
      – SubjectFull: Benchmark testing (Engineering)
        Type: general
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      – TitleFull: Efficient FR-CD-Like Algorithm for Unconstrained Optimization.
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            NameFull: Abubakar, Auwal Bala
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            NameFull: Malik, Maulana
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            NameFull: Ibrahim, Abdulkarim Hassan
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            NameFull: Kiri, Aliyu Ibrahim
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            – D: 01
              M: 07
              Text: 2026
              Type: published
              Y: 2026
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