کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626778 | 1631794 | 2015 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A corrected Levenberg–Marquardt algorithm with a nonmonotone line search for the system of nonlinear equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A corrected Levenberg–Marquardt algorithm with a nonmonotone line search for the system of nonlinear equations A corrected Levenberg–Marquardt algorithm with a nonmonotone line search for the system of nonlinear equations](/preview/png/4626778.png)
چکیده انگلیسی
In this paper, we propose a corrected Levenberg–Marquardt method for the system of nonlinear equations, in which not only an L-M step and a corrected step are computed at every iteration but also a nonmonotone line search to find a new iteration point will be performed if a trial step is not accepted. To ensure the global convergence of the new method, a new nonmonotone line search technique is introduced for the merit function. The cubic convergence of the new method is proved under the local error bound condition which is weaker than nonsingularity. Some numerical results are reported, which shows that the algorithm is quite effective.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 260, 1 June 2015, Pages 159–169
Journal: Applied Mathematics and Computation - Volume 260, 1 June 2015, Pages 159–169
نویسندگان
Yedan He, Changfeng Ma, Bin Fan,