Abstract A transformed primal-dual (TPD) flow is developed for a class of nonlinear smooth saddle point system. The the dual variable contains Schur complement which strongly convex. Exponential stability obtained by showing strong Lyapunov property. Several TPD iterations are derived implicit Euler, explicit implicit-explicit and Gauss-Seidel methods with accelerated overrelaxation flow. Gener...

Abstract We introduce a dynamical system to the problem of finding zeros sum two maximally monotone operators. investigate existence, uniqueness and extendability solutions this in Hilbert space. prove that trajectories proposed converge strongly primal–dual solution considered problem. Under explicit time discretization we obtain best approximation algorithm for solving coupled inclusion