On the Shift-HSS Splitting Method for Nonsingular Saddle Point Problem

Abstract

In this paper, the shift-HSS splitting (denoted by SFHSS) iteration method is used to solve nonsingular saddle point system with nonsymmetric positive definite (1, 1)-block. Theoretical analysis illustrates that the SFHSS iteration method converges to the unique solution of the saddle point system as the parameter satisfies certain condition.