An inexact alternating direction method with SQP regularization for the structured variational inequalities
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-8-1_023
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
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 appropriate conditions, the global convergence of the proposed method is proved. We show the O(۱/t) convergence rate for the inexact SQP alternating direction method. We also reported some numerical results to illustrate the efficiency of the proposed method.
Keywords:
Variational inequalities , monotone operator , square quadratic proximal method , logarithmic-quadratic proximal method , alternating direction method