2023 Volume 13 Issue 6
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Cuixia Li, Shiliang Wu. THE SHSS PRECONDITIONER FOR SADDLE POINT PROBLEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3221-3230. doi: 10.11948/20220552
Citation: Cuixia Li, Shiliang Wu. THE SHSS PRECONDITIONER FOR SADDLE POINT PROBLEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3221-3230. doi: 10.11948/20220552

THE SHSS PRECONDITIONER FOR SADDLE POINT PROBLEMS

  • 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.

    MSC: 65F10, 65F15
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