New conjugacy condition with pair-conjugate gradient methods for unconstrained optimization
Joint Authors
al-Bayati, Abbas Y.
Ahmad, Huda I.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 6, Issue 3 (31 Dec. 2009), pp.21-35, 15 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2009-12-31
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract AR
طرق التدرج المترافق تستعمل بكثرة في الامثلية اللاخطية و خصوصا للمسائل ذات الأبعاد الكبيرة.
في هذا البحث افترضنا طريقة مترافق جديدة للدوال غير الخطية معتمدة على فكرة (2001) Dai and Liao و هذه الطريقة تستخدم تقنية التدرج المترافق المزدوج مع البحث الخطي غير المظبوط و التي تتحول إلى طريقة التدرج المترافق القياسية باستعمال البحث الخطي المضبوط.
تم التطرق كذلك إلى تحليل تقارب هذه الطريقة ثم استخدام هذه الطريقة عدديا مع استعمال عشرة دوال غير خطية و من ثم الحصول على نتائج كفوءة جدا.
Abstract EN
Conjugate gradient methods are wildly used for unconstrained optimization especially when the dimension is large.
In this paper we propose a new kind of nonlinear conjugate gradient methods which on the study of Dai and Liao (2001), the new idea is how to use the pair conjugate gradient method with this study (new cojugacy condition) which consider an inexact line search scheme but reduce to the old one if the line search is exact.
Convergence analysis for this new method is provided.
Our numerical results show that this new methods is very efficient for the given ten test function compared with other methods.
American Psychological Association (APA)
al-Bayati, Abbas Y.& Ahmad, Huda I.. 2009. New conjugacy condition with pair-conjugate gradient methods for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 6, no. 3, pp.21-35.
https://search.emarefa.net/detail/BIM-331874
Modern Language Association (MLA)
al-Bayati, Abbas Y.& Ahmad, Huda I.. New conjugacy condition with pair-conjugate gradient methods for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 6, no. 3 (2009), pp.21-35.
https://search.emarefa.net/detail/BIM-331874
American Medical Association (AMA)
al-Bayati, Abbas Y.& Ahmad, Huda I.. New conjugacy condition with pair-conjugate gradient methods for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics. 2009. Vol. 6, no. 3, pp.21-35.
https://search.emarefa.net/detail/BIM-331874
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 34-35
Record ID
BIM-331874