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
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.
مشتاق عبد الغني شخير الجنابي | Mushtak A.K. Shiker | 1951