Preconditioned MAHSS Method for a Class of Complex Singular Saddle Point Problems And Its Semi-convergence Analysis

In this paper, we propose a preconditioned MAHSS (PMAHSS) method for a class of complex singular saddle point problems, and analyze its semi-convergence. The eigenvalues of the iteration matrix of PMAHSS method is proven to be clustered for the appropriate parameters of the proposed new method. The theoretical results and the effectiveness of PMAHSS method is supported by numerical example.