کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633877 | 1340681 | 2008 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A globally convergent Levenberg–Marquardt method for the least l2l2-norm solution of nonlinear inequalities
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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 globally convergent Levenberg–Marquardt method for the least l2l2-norm solution of nonlinear inequalities A globally convergent Levenberg–Marquardt method for the least l2l2-norm solution of nonlinear inequalities](/preview/png/4633877.png)
چکیده انگلیسی
The least l2l2-norm solution for a possibly inconsistent system of nonlinear inequalities is studied in this paper. By introducing a new smoothing function, the problem is approximated by a family of parameterized optimization problems with twice continuously differentiable objective functions. Then a smoothing Levenberg–Marquardt method is applied to solve the parameterized optimization problems. The global convergence of the proposed method is established under suitable assumptions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 206, Issue 1, 1 December 2008, Pages 133–140
Journal: Applied Mathematics and Computation - Volume 206, Issue 1, 1 December 2008, Pages 133–140
نویسندگان
Changfeng Ma,