عنوان المقالة:خوارزمية منطقة الثقة مع نصف قطر تكيفي لحل نظام المعادلات غير الخطية A line search trust-region algorithm with nonmonotone adaptive radius for a system of nonlinear equations
مشتاق عبد الغني شخير الجنابي | Mushtak A.K. Shiker | 2523
- نوع النشر
- مجلة علمية
- المؤلفون بالعربي
- د. كيوان أمين ، د. مشتاق عبد الغني شخير الجنابي ، د. مرتضى كيميايي
- المؤلفون بالإنجليزي
- Keyvan Amini, Mushtak A. K. Shiker, Morteza Kimiaei
- الملخص العربي
- Abstract In this paper, a trust-region procedure is proposed for the solution of nonlinear equations. The proposed approach takes advantages of an effective adaptive trust-region radius and a nonmonotone strategy by combining both of them appropriately. It is believed that selecting an appropriate adaptive radius based on a suitable nonmonotone strategy can improve the efficiency and robustness of the trust-region frameworks as well as decrease the computational cost of the algorithm by decreasing the required number subproblems that must be solved. The global convergence and the local Q-quadratic convergence rate of the proposed approach are proved. Preliminary numerical results of the proposed algorithm are also reported which indicate the promising behavior of the new procedure for solving the nonlinear system.
- تاريخ النشر
- 27/01/2016
- الناشر
- 4OR - Springer
- رقم المجلد
- 14
- رقم العدد
- 2
- ISSN/ISBN
- 1619-4500
- رابط DOI
- 10.1007/s10288-016-0305-3
- الصفحات
- 133-152
- رابط الملف
- تحميل (88 مرات التحميل)
- رابط خارجي
- https://link.springer.com/article/10.1007/s10288-016-0305-3
- الكلمات المفتاحية
- Keywords Nonlinear equations · Trust-region · Adaptive radius · Nonmonotone technique · Armijo-type line search