报告内容
框架 |
Using the equivalent block two-by-two real linear systems and relaxing technique, we establish a new block preconditioner for a class of complex symmetric indefinite linear systems. The new preconditioner is much closer to the original block two-by-two coefficient matrix than the Hermitian and Skew-Hermitian splitting (HSS) preconditioner. The spectral properties of the preconditioned matrix are analyzed. The eigenvector distribution of the preconditioned matrix is discussed and an upper bound for the degree of the minimal polynomial of the preconditioned matrix is derived. Finally, some numerical examples are provided to show the effectiveness and robustness of our proposed preconditioner. |