Convergence Properties of the Single-Step Preconditioned HSS Method for Non-Hermitian Positive Semidefinite Linear Systems

  • Chengliang Li
  • Changfeng MaEmail author


For the nonsingular, non-Hermitian and positive semidefinite linear systems, we derive the convergence results of the single-step preconditioned HSS (SPHSS) method under suitable constraints. Additionally, we consider the acceleration of the SPHSS method by Krylov subspace methods and some spectral properties of the preconditioned matrix are established. Numerical experiments are presented to further examine the effectiveness of the proposed method either as a solver or a preconditioner.


Nonsingular non-Hermitian positive semidefinite linear systems SPHSS method convergence spectral properties 

Mathematics Subject Classification

65F10 65F50 



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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.College of Mathematics and Informatics and FJKLMAAFujian Normal UniversityFuzhouPeople’s Republic of China

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