A nonmonotone trust-region-approachwith nonmonotone adaptive radius forsolving nonlinear systems
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 333
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شناسه ملی سند علمی:
JR_IJNAO-6-1_005
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
This paper presents a trust-region procedure for solving systems of non- linear 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 efficiencyand robustness of the trust-region framework as well as can decrease the com- putational cost of the algorithm by decreasing the number of subproblems that must be solved. The global convergence to rst order stationary pointsas well as the local q-quadratic convergence of the proposed approach are proved. Numerical experiments show that the new algorithm is promising and attractive for solving nonlinear systems.
کلیدواژه ها:
نویسندگان
K. Amini
Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran.
H Esmaeili
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.
Esmaeili Kimiaei
Department of Mathematics, Asadabad Branch, Islamic Azad University, Asadabad, Iran.