Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
New alternating direction method for a class of nonlinear variational inequality problems
Journal of Optimization Theory and Applications
A new alternating direction method for co-coercive variational inequality problems
Computers & Mathematics with Applications
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We introduce a modified alternating direction method for structured monotone variational inequalities by performing an additional projection step at each iteration and another optimal step length is employed to reach substantial progress in each iteration. This method only needs functional values for given variables in the solution process and avoids the task of estimating the co-coercive modulus. All the computing process are easily implemented and the global convergence is also presented under mild assumptions. Some preliminary computational results are given.