New scaled proposed formulas for conjugate gradient methods in unconstrained optimization
Joint Authors
al-Bayati, Abbas Yunus
Jamil, Marwan S.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 11, Issue 2 (30 Jun. 2014), pp.25-46, 22 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2014-06-30
Country of Publication
Iraq
No. of Pages
22
Main Subjects
Topics
Abstract AR
تم في هذا البحث اقتراح ثلاث خوارزميات مقيسة جديدة في مجال الأمثلية غير المقيدة، و قد تم استخدام خط بحث غير تام و مقياس Powell للاسترجاع على جميع الصيغ المستعملة إذ يعطي توفير جيد في الكفاءة الحسابية، خاصية التقارب الشاملة و الانحدار الكافي درست بوجود شرطي وولف القوية، كما إن النتائج التي تم التوصل إليها عمليا أثبتت إن الخوارزميات الجديدة هي أكثر كفاءة من الخوارزميات المقارنة (PR & FR) باستخدام 35 دالة غير خطية.
Abstract EN
In this paper, three efficient Scaled Nonlinear Conjugate Gradient (CG) methods for solving unconstrained optimization problems are proposed.
These algorithms are implemented with inexact line searches (ILS).
Powell restarting criterion is applied to all these algorithms and gives dramatic saving in the computational efficiency.
The global convergence results of these algorithms are established under the Strong Wolfe line search condition.
Numerical results show that our proposed CG-algorithms are efficient and stationary by comparing with standard Fletcher-Reeves (FR) ; Polak-Ribiere (PR) CG-algorithms, using 35-nonlinear test functions.
American Psychological Association (APA)
al-Bayati, Abbas Yunus& Jamil, Marwan S.. 2014. New scaled proposed formulas for conjugate gradient methods in unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 11, no. 2, pp.25-46.
https://search.emarefa.net/detail/BIM-378834
Modern Language Association (MLA)
al-Bayati, Abbas Yunus& Jamil, Marwan S.. New scaled proposed formulas for conjugate gradient methods in unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 11, no. 2 ( 2014), pp.25-46.
https://search.emarefa.net/detail/BIM-378834
American Medical Association (AMA)
al-Bayati, Abbas Yunus& Jamil, Marwan S.. New scaled proposed formulas for conjugate gradient methods in unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics. 2014. Vol. 11, no. 2, pp.25-46.
https://search.emarefa.net/detail/BIM-378834
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 45-46
Record ID
BIM-378834