کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628865 1340568 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A higher-order Levenberg–Marquardt method for nonlinear equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A higher-order Levenberg–Marquardt method for nonlinear equations
چکیده انگلیسی

In this paper, we present a high-order Levenberg–Marquardt method for nonlinear equations. At every iteration, not only a LM step is computed but also two approximate LM steps are computed which use the previous calculated Jacobian. Under the local error bound condition which is weaker than nonsingularity, the new method has biquadratic convergence. A globally convergent LM algorithm is also given by the trust region technique. Numerical results show that the new fourth-order LM algorithm performs very well and could save many Jacobian calculations especially for large scale problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 22, 15 July 2013, Pages 10682–10694
نویسندگان
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