کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636519 1340723 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some research on Levenberg–Marquardt method for the nonlinear equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some research on Levenberg–Marquardt method for the nonlinear equations
چکیده انگلیسی

Levenberg–Marquardt method is one of the most important methods for solving systems of nonlinear equations. In this paper, we consider the convergence of a new Levenberg–Marquardt method (i.e. λk=θ‖Fk‖+(1-θ)‖JkTFk‖, where θ ∈ [0, 1] is a real parameter) for solving a system of singular nonlinear equations F(x) = 0, where F is a mapping from Rn into Rm. We will show that if ∥F(x)∥ provides a local error bound which is weaker than the condition of nonsingular for the system of nonsingular for the system of nonlinear equations, the sequence generated by the new Levenberg–Marquardt method convergence to a point of the solution set X∗ quadratically. Numerical experiments and comparisons are reported.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 184, Issue 2, 15 January 2007, Pages 1032–1040
نویسندگان
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