A new alternating direction method for solving variational inequalities
نویسندگان
چکیده
منابع مشابه
An inexact alternating direction method with SQP regularization for the structured variational inequalities
In this paper, we propose an inexact alternating direction method with square quadratic proximal (SQP) regularization for the structured variational inequalities. The predictor is obtained via solving SQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriat...
متن کاملProximal Parallel Alternating Direction Method for Monotone Structured Variational Inequalities
In this paper, we focus on the alternating direction method, which is one of the most effective methods for solving structured variational inequalities(VI). In fact, we propose a proximal parallel alternating direction method which only needs to solve two strongly monotone sub-VI problems at each iteration. Convergence of the new method is proved under mild assumptions. We also present some pre...
متن کاملA New Alternating Direction Method for Structured Variational Inequalities in Engineering Modeling
Recently, the alternating direction method(ADM) has gained tremendous interest in the area of applied sciences, such as the image processing, and matrix decomposition. In this paper, we propose a new alternating direction method for structured variational inequalities, which only needs functional values in the solution process. We give a new residual function r(u, β), and based on it a new desc...
متن کاملA New Method for Solving Monotone Generalized Variational Inequalities
We suggest new dual algorithms and iterative methods for solving monotone generalized variational inequalities. Instead of working on the primal space, this method performs a dual step on the dual space by using the dual gap function. Under the suitable conditions, we prove the convergence of the proposed algorithms and estimate their complexity to reach an ε-solution. Some preliminary computat...
متن کاملA New Iterative Method for Solving General Mixed Variational Inequalities
The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To overcome this disadvantage, Abedellah Bnouhachem present a self-adaptive iterative method. In this paper, we present a new self-adaptive method w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2011
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2011.05.043