New scale dai-yaun conjugate gradient method for unconstrained optimization
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 10, Issue 4 (31 Dec. 2013), pp.29-41, 13 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2013-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Information Technology and Computer Science
Topics
Abstract AR
طريقة التدرج المترافق دائما تستخدم لحل المسائل الأمثلية غير المقيدة العالية الإبعاد لأنها لا تحتاج لخزن لأية مصفوفة.
تم في هذا البحث اقتراح تحسين لمعامل ترافق Dai-Yuan لخوارزمية التدرج المترافق كما تم اشتقاق ذو قياس جديد من طريقة التدرج المترافق لذات المقادير الثلاثة باستخدام خط بحث غير مضبوط، كل من الخوارزميتين تم برهانهما بأنهما يحققان شرط الانحدار الكافي التقارب الشامل تحت بعض الشروط.
دلت النتائج العددية على أن الطريقة الجديدة تحقق نتائج عددية ذات كفاءة عالية بالاعتماد على عدد التكرارات و عدد حسابات الدالة.
Abstract EN
Conjugate gradient algorithm is widely used for solving large-scale unconstrained optimization problems, because they do not need the storage of matrices.
In this paper, we suggest a modified Dai-Yuan conjucay coefficient of conjugate gradient algorithm and propose new spectral form three-term conjugate gradient algorithm.
These algorithms are used inexact line searches and Wolf line search conditions.
These algorithms satisfied sufficient descent condition and the converge globally are provided under some assumptions.
The numerical results indicate that the proposed algorithm is very effective and the new spectral algorithm is of very robust results depending on iterations and the number of known functions.
American Psychological Association (APA)
Chilmerane, Hamsa Th.. 2013. New scale dai-yaun conjugate gradient method for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 10, no. 4, pp.29-41.
https://search.emarefa.net/detail/BIM-351178
Modern Language Association (MLA)
Chilmerane, Hamsa Th.. New scale dai-yaun conjugate gradient method for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 10, no. 4 (2013), pp.29-41.
https://search.emarefa.net/detail/BIM-351178
American Medical Association (AMA)
Chilmerane, Hamsa Th.. New scale dai-yaun conjugate gradient method for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics. 2013. Vol. 10, no. 4, pp.29-41.
https://search.emarefa.net/detail/BIM-351178
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 41
Record ID
BIM-351178