Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization
In this paper, we aim to propose some spectral gradient methods via variational technique under log-determinant norm. The spectral parameters satisfy the modified weak secant relations that inspired by the multistep approximation for solving large scale unconstrained optimization. An executable code...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75051/ http://psasir.upm.edu.my/id/eprint/75051/1/Multi-step%20spectral.pdf |
| _version_ | 1848857592160321536 |
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| author | Hong, Seng Sim Wah, June Leong Chuei, Yee Chen Ibrahim, Siti Nur Iqmal |
| author_facet | Hong, Seng Sim Wah, June Leong Chuei, Yee Chen Ibrahim, Siti Nur Iqmal |
| author_sort | Hong, Seng Sim |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we aim to propose some spectral gradient methods via variational technique under log-determinant norm. The spectral parameters satisfy the modified weak secant relations that inspired by the multistep approximation for solving large scale unconstrained optimization. An executable code is developed to test the efficiency of the proposed method with spectral gradient method using standard weak secant relation as constraint. Numerical results are presented which suggest a better performance has been achieved. |
| first_indexed | 2025-11-15T12:00:00Z |
| format | Article |
| id | upm-75051 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:00Z |
| publishDate | 2018 |
| publisher | AIMS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-750512020-03-17T08:16:00Z http://psasir.upm.edu.my/id/eprint/75051/ Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization Hong, Seng Sim Wah, June Leong Chuei, Yee Chen Ibrahim, Siti Nur Iqmal In this paper, we aim to propose some spectral gradient methods via variational technique under log-determinant norm. The spectral parameters satisfy the modified weak secant relations that inspired by the multistep approximation for solving large scale unconstrained optimization. An executable code is developed to test the efficiency of the proposed method with spectral gradient method using standard weak secant relation as constraint. Numerical results are presented which suggest a better performance has been achieved. AIMS 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75051/1/Multi-step%20spectral.pdf Hong, Seng Sim and Wah, June Leong and Chuei, Yee Chen and Ibrahim, Siti Nur Iqmal (2018) Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization. Numerical Algebra, Control and Optimization, 8 (3). 377 - 387. ISSN 2155-3289, ESSN: 2155-3297 10.3934/naco.2018024 |
| spellingShingle | Hong, Seng Sim Wah, June Leong Chuei, Yee Chen Ibrahim, Siti Nur Iqmal Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| title | Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| title_full | Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| title_fullStr | Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| title_full_unstemmed | Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| title_short | Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| title_sort | multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization |
| url | http://psasir.upm.edu.my/id/eprint/75051/ http://psasir.upm.edu.my/id/eprint/75051/ http://psasir.upm.edu.my/id/eprint/75051/1/Multi-step%20spectral.pdf |