  Saddle point problems have been attracting people's attention in recent
years. To solve large and sparse saddle point problems, Uzawa type algorithms
were proposed. The main contribution of this paper is to present a new
Uzawa-exact type algorithm from the aspect of optimization method to solve
nonsymmetric saddle point problems, which often arise from linear variational
inequalities and finite element discretization of Navier-Stokes equations. In
the paper, convergence of the new algorithm is analysed and numerical
experiments are presented.
