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

Zhuo-hong HUANG, Hong SU, Jing YANG

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.

Keywords


Shift-HSS splitting, Nnonsingular, Nonsymmetric positive definite, Saddle point problems, Krylov subspace methods


DOI
10.12783/dtcse/amms2018/26219

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