A variant of relaxed alternating positive semi-definite splitting preconditioner for double saddle point problems

Authors :: Lingsheng Meng
Jun Li
Shu-Xin Miao
Source :: Japan Journal of Industrial and Applied Mathematics. 38:979-998
Publication Year :: 2021
Publisher :: Springer Science and Business Media LLC, 2021.
Abstract: Based on the relaxed alternating positive semi-definite splitting (RAPSS) preconditioner, in this paper, a new preconditioner, called variant of relaxed alternating positive semi-definite splitting (VRAPSS) preconditioner, is presented and discussed. Spectral properties of the VRAPSS preconditioned matrix are analyzed in detail. Numerical experiments are provided to verify the efficiency of the VRAPSS preconditioner.

Subjects :: Matrix (mathematics)
Preconditioner
Applied Mathematics
Saddle point
Spectral properties
Mathematical analysis
Computer Science::Mathematical Software
General Engineering
Positive-definite matrix
Computer Science::Numerical Analysis
Mathematics::Numerical Analysis
Mathematics

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