A new symmetric rank one algorithm for unconstrained optimization

Joint Authors

al-Bayati, Abbas Y.
Sharid, Salah G.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 8, Issue 2 (31 Dec. 2011), pp.13-19, 7 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2011-12-31

Country of Publication

Iraq

No. of Pages

7

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث تم استحداث خوارزمية مصفوفتها متناظرة و من ذات الرتبة الأولى تستخدم في الأمثلية غير المقيدة.

هذه الخوارزمية الجديدة للمصفوفات المستحدثة تستخدم في حل الأنظمة المتناظرة و الموجبة التعريف.

تم اختبار هذه الخوارزمية الجديدة عدديا باستخدام (7) دوال قياسية غير خطية و قورنت مع خوارزمية ال BFGS القياسية و تم إثبات هذه الصيغة بأنها متناظرة و موجبة التعريف و تولد اتجاهات انحدارية و تحقق شرط QN الشبيهة.

Abstract EN

In this paper, a new symmetric rank one for unconstrained optimization problems is presented.

This new algorithm is used to solve symmetric and positive definite matrix.

The new method is tested numerically by (7) nonlinear test functions and method is compared with the standard BFGS algorithm.

The new matrix used is symmetric and positive definite and it generates descent directions and satisfied QN-like condition.

American Psychological Association (APA)

al-Bayati, Abbas Y.& Sharid, Salah G.. 2011. A new symmetric rank one algorithm for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 8, no. 2, pp.13-19.
https://search.emarefa.net/detail/BIM-321831

Modern Language Association (MLA)

al-Bayati, Abbas Y.& Sharid, Salah G.. A new symmetric rank one algorithm for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 8, no. 2 (2011), pp.13-19.
https://search.emarefa.net/detail/BIM-321831

American Medical Association (AMA)

al-Bayati, Abbas Y.& Sharid, Salah G.. A new symmetric rank one algorithm for unconstrained optimization. al- Rafidain Journal of Computer Sciences and Mathematics. 2011. Vol. 8, no. 2, pp.13-19.
https://search.emarefa.net/detail/BIM-321831

Data Type

Journal Articles

Language

English

Notes

Includes appendices : p. 17-18

Record ID

BIM-321831