کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629168 | 1340574 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An inexact alternating direction method for solving a class of structured variational inequalities
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The alternating direction method is mainly adopted to solve large-scale variational inequality problems with separable structure. The method is effective because it solves the original high-dimensional variational inequality problem by solving a series of much easier low-dimensional subproblems. In this paper, we present an inexact alternating directions method. Compared with the quadratic proximal alternating direction methods, the proposed method solves a series of related systems of nonlinear equations instead of a series of sub-VIs. The inexact criteria are more relaxed than the ones used by He et al. [7]. The generated sequence is Fejér monotone with respect to the solution set and the convergence is proved under suitable conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 14, 15 March 2013, Pages 7837–7846
Journal: Applied Mathematics and Computation - Volume 219, Issue 14, 15 March 2013, Pages 7837–7846
نویسندگان
Abdellah Bnouhachem, Hafida Benazza, Mohamed Khalfaoui,