THE SHSS PRECONDITIONER FOR SADDLE POINT PROBLEMS
Cui-Xia Li, Shi-Liang Wu · Journal of Applied Analysis & Computation · 2023
In this paper, building on the previous published work by Li and Wu [Appl. Math, Lett., 2015, 44, 26–29], we extend the single-step HSS (SHSS) method for saddle point problems. Based on the idea of SHSS method, the SHSS preconditioner for solving saddle point problems is introduced. We discuss the spectral properties of the preconditioned matrix in detail. By some numerical experiments, we demonstrate the effectiveness of the SHSS preconditioner.