مشخصات پژوهش

عنوان	A new adaptive trust-region method for system of nonlinear equations
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Nonlinear equations Trust-region framework Adaptive radius Nonmonotone technique Convergence theory
چکیده	This study presents a new trust-region procedure to solve a system of nonlinear equations in several variables. The proposed approach combines an effective adaptive trust-region radius with a nonmonotone strategy, because it is believed that this combination can improve the efficiency and robustness of the trust-region framework. Indeed, it decreases the computational cost of the algorithm by decreasing the required number of subproblems to be solved. The global and the quadratic convergence of the proposed approach is proved without any nondegeneracy assumption of the exact Jacobian. Preliminary numerical results indicate the promising behavior of the new procedure to solve systems of nonlinear equations.
پژوهشگران	حمید اسمعیلی (نفر اول)، مرتضی کیمیایی (نفر دوم)