کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6421583 | 1631825 | 2014 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new Levenberg-Marquardt type algorithm for solving nonsmooth constrained equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the problem of finding a solution of a nonsmooth constrained (not necessarily square) system of equations. Based upon the smoothing reformulation of the original problem, we present a Levenberg-Marquardt (L-M) type algorithm for solving nonsmooth constrained system of equations, which solves a linear system of equations at each iteration. This algorithm has global convergence property. Moreover, this algorithm is shown to converge locally quadratically under an error bound condition which is much weaker than the standard nonsingularity condition. Some numerical results for the presented method indicate that the algorithm works quite well in practice.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 229, 25 February 2014, Pages 107-122
Journal: Applied Mathematics and Computation - Volume 229, 25 February 2014, Pages 107-122
نویسندگان
Chen Ling, Guifeng Wang, Hongjin He,