A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande
A newly step-length formula is proposed for implementing conjugate gradient methods’ algorithm to solve unconstrained optimization problems. The unified formula for obtaining step-length does not involve any matrix operation. Numerical results obtained are graphically illustrated using performance p...
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| Format: | Article |
| Language: | en |
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Universiti Teknologi MARA
2020
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| Online Access: | https://ir.uitm.edu.my/id/eprint/48084/1/48084.pdf https://ir.uitm.edu.my/id/eprint/48084/ https://mjoc.uitm.edu.my |
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| _version_ | 1833068564859322368 |
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| author | Ishaq, Adam Ajimoti Latunde, Tolulope Akande, Kazeem Babatunde |
| author_facet | Ishaq, Adam Ajimoti Latunde, Tolulope Akande, Kazeem Babatunde |
| author_sort | Ishaq, Adam Ajimoti |
| building | Tun Abdul Razak Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Mara |
| content_source | UiTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | A newly step-length formula is proposed for implementing conjugate gradient methods’ algorithm to solve unconstrained optimization problems. The unified formula for obtaining step-length does not involve any matrix operation. Numerical results obtained are graphically illustrated using performance profiling software. This showed that the new formula performs efficiently in terms of computational efforts and execution time compared with some existing formulae for obtaining the step-length without line search procedures. |
| format | Article |
| id | my.uitm.ir-48084 |
| institution | Universiti Teknologi Mara |
| language | en |
| publishDate | 2020 |
| publisher | Universiti Teknologi MARA |
| record_format | eprints |
| spelling | my.uitm.ir-480842021-06-23T02:48:15Z https://ir.uitm.edu.my/id/eprint/48084/ A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande mjoc Ishaq, Adam Ajimoti Latunde, Tolulope Akande, Kazeem Babatunde Algebra Equations A newly step-length formula is proposed for implementing conjugate gradient methods’ algorithm to solve unconstrained optimization problems. The unified formula for obtaining step-length does not involve any matrix operation. Numerical results obtained are graphically illustrated using performance profiling software. This showed that the new formula performs efficiently in terms of computational efforts and execution time compared with some existing formulae for obtaining the step-length without line search procedures. Universiti Teknologi MARA 2020-06 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/48084/1/48084.pdf A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande. (2020) Malaysian Journal of Computing (MJoC) <https://ir.uitm.edu.my/view/publication/Malaysian_Journal_of_Computing_=28MJoC=29/>, 5 (1). pp. 403-413. ISSN 2600-8238 https://mjoc.uitm.edu.my |
| spellingShingle | Algebra Equations Ishaq, Adam Ajimoti Latunde, Tolulope Akande, Kazeem Babatunde A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande |
| title | A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande |
| title_full | A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande |
| title_fullStr | A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande |
| title_full_unstemmed | A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande |
| title_short | A step-length formula for conjugate gradient methods / Adam Ajimoti Ishaq, Tolulope Latunde and Kazeem Babatunde Akande |
| title_sort | step-length formula for conjugate gradient methods / adam ajimoti ishaq, tolulope latunde and kazeem babatunde akande |
| topic | Algebra Equations |
| url | https://ir.uitm.edu.my/id/eprint/48084/1/48084.pdf https://ir.uitm.edu.my/id/eprint/48084/ https://mjoc.uitm.edu.my |
| url_provider | http://ir.uitm.edu.my/ |