<p>This paper presents a general class of fast shift-splitting preconditioners for solving nonsymmetric saddle point problems. By selecting some suitable matrix splitting schemes, we propose general fast shift-splitting preconditioners. The convergence of the corresponding matrix splitting iteration method is also analyzed. Additionally, we discuss the spectral properties of the preconditioned matrix. With suitable choices of the splitting schemes, numerical experiments are given to demonstrate the efficiency and flexibility.</p>

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A general class of fast shift-splitting preconditioners for nonsymmetric saddle point problems

  • Hong-Yu Wu

摘要

This paper presents a general class of fast shift-splitting preconditioners for solving nonsymmetric saddle point problems. By selecting some suitable matrix splitting schemes, we propose general fast shift-splitting preconditioners. The convergence of the corresponding matrix splitting iteration method is also analyzed. Additionally, we discuss the spectral properties of the preconditioned matrix. With suitable choices of the splitting schemes, numerical experiments are given to demonstrate the efficiency and flexibility.