The Preconditioned Method For Solving Nonsymmetric Saddle Point Linear Systems

Saddle point problems are widely involved in many areas of scientific research and engineering computations and a lot of research, such as computational fluid dynamics, elasticity, optimal control, mixed finite element approximation of elliptic partial differ-ential equations, weighted least-squares problems, electromagnetics and so on. Because these problems have such a wide application source and value, it is of great interest to develop fast and efficient methods.In this paper, to solve large sparse nonsymmetric saddle point linear systems with singular (1,1) blocks we propose several parameterized preconditioners, and analyse the distribution on the eigenvalues of the preconditioned matrices by introducing different parameters. Finally, the given numerical experiments illustrate the efficiency of the pre-sented preconditioners.