摘要

A new preconditioner for the numerical solution of block two-by-two symmetric indefinite matrices is presented in this paper. The proposed preconditioner is constructed as the product of two fairly simple preconditioners: one is the famous block Jacobi preconditioner, and the other is the popular constraint preconditioner. Here, we call it the product preconditioner. Results concerning the eigenvalue distribution and form of the eigenvectors of the product preconditioned matrix are analyzed. Numerical experiments are used to illustrate the efficiency of the proposed product preconditioner.