Convergence of the Steepest Descent Method for Minimizing Convex Functions
Kiwiel and Murty (1996) discuss the convergence properties of a class of steepest descent algorithm for minimizing a continuously differentiable quasiconvex function f on mo. Under mild conditions, we prove that the limit infimum of IIVflXo)1I is zero and that false convergence does not occur even w...
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| Format: | Article |
| Language: | English English |
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Universiti Putra Malaysia Press
2002
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| Online Access: | http://psasir.upm.edu.my/id/eprint/3718/1/Convergence_of_the_Steepest_Descent_Method_for_Minimizing.pdf |
| _version_ | 1825943541214347264 |
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| author | Abu Hassan, Malik Monsi, Mansor Leong, Wah June |
| author_facet | Abu Hassan, Malik Monsi, Mansor Leong, Wah June |
| author_sort | Abu Hassan, Malik |
| collection | UPM |
| description | Kiwiel and Murty (1996) discuss the convergence properties of a class of steepest descent algorithm for minimizing a continuously differentiable quasiconvex function f on mo. Under mild conditions, we prove that the limit infimum of IIVflXo)1I is zero and that false convergence does not occur even when f is convex. |
| first_indexed | 2024-03-06T07:01:56Z |
| format | Article |
| id | upm.eprints-3718 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:01:56Z |
| publishDate | 2002 |
| publisher | Universiti Putra Malaysia Press |
| record_format | dspace |
| spelling | upm.eprints-37182013-05-27T07:10:41Z http://psasir.upm.edu.my/id/eprint/3718/ Convergence of the Steepest Descent Method for Minimizing Convex Functions Abu Hassan, Malik Monsi, Mansor Leong, Wah June Kiwiel and Murty (1996) discuss the convergence properties of a class of steepest descent algorithm for minimizing a continuously differentiable quasiconvex function f on mo. Under mild conditions, we prove that the limit infimum of IIVflXo)1I is zero and that false convergence does not occur even when f is convex. Universiti Putra Malaysia Press 2002 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/3718/1/Convergence_of_the_Steepest_Descent_Method_for_Minimizing.pdf Abu Hassan, Malik and Monsi, Mansor and Leong, Wah June (2002) Convergence of the Steepest Descent Method for Minimizing Convex Functions. Pertanika Journal of Science & Technology, 10 (2). pp. 145-152. ISSN 0128-7680 English |
| spellingShingle | Abu Hassan, Malik Monsi, Mansor Leong, Wah June Convergence of the Steepest Descent Method for Minimizing Convex Functions |
| title | Convergence of the Steepest Descent Method for Minimizing
Convex Functions |
| title_full | Convergence of the Steepest Descent Method for Minimizing
Convex Functions |
| title_fullStr | Convergence of the Steepest Descent Method for Minimizing
Convex Functions |
| title_full_unstemmed | Convergence of the Steepest Descent Method for Minimizing
Convex Functions |
| title_short | Convergence of the Steepest Descent Method for Minimizing
Convex Functions |
| title_sort | convergence of the steepest descent method for minimizing convex functions |
| url | http://psasir.upm.edu.my/id/eprint/3718/1/Convergence_of_the_Steepest_Descent_Method_for_Minimizing.pdf |
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